{
"paper": {
"school": "Rosyth",
"year": 2024,
"level": "P4",
"label": "End-of-Year Exam",
"source_prefix": "Rosyth 2024 P4 End-of-Year Exam",
"has_answer_key": true
},
"questions": [
{
"n": 1,
"type_id": 1,
"question": "In which of the following does the digit 5 stand for 500?",
"answer0": "3657",
"answer1": "5736",
"answer2": "6573",
"answer3": "7365",
"correct_answer": 2,
"skill_id": 105,
"difficulty_id": 1,
"explanation": "Method: the digit 5 stands for 500 when it is in the hundreds place. In 6573, the 5 is in the hundreds place, so it stands for 500. Answer: 6573.",
"hints": [
"Which place value gives 500? The hundreds place.",
"Look for the option where 5 is the third digit from the right."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q1",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: option (3) = 6573. correct_answer index 2."
},
{
"n": 2,
"type_id": 1,
"question": "Which of the following is a factor of both 24 and 30?",
"answer0": "8",
"answer1": "6",
"answer2": "5",
"answer3": "4",
"correct_answer": 1,
"skill_id": 113,
"difficulty_id": 1,
"explanation": "Method: find the common factors. Factors of 24: 1,2,3,4,6,8,12,24. Factors of 30: 1,2,3,5,6,10,15,30. 6 is a factor of both. Answer: 6.",
"hints": [
"A factor divides the number exactly with no remainder.",
"Check each option: does it divide both 24 and 30?"
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q2",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: option (2) = 6. correct_answer index 1."
},
{
"n": 3,
"type_id": 1,
"question": "Which number when rounded to the nearest ten becomes 53 200?",
"answer0": "53 194",
"answer1": "53 196",
"answer2": "53 205",
"answer3": "53 213",
"correct_answer": 1,
"skill_id": 109,
"difficulty_id": 2,
"explanation": "Method: rounding to the nearest ten gives 53 200 for numbers from 53 195 to 53 204. 53 196 rounds up to 53 200. Answer: 53 196.",
"hints": [
"Look at the ones digit to decide rounding up or down.",
"The number must lie between 53 195 and 53 204."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q3",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: option (2) = 53 196. correct_answer index 1."
},
{
"n": 4,
"type_id": 1,
"question": "What fraction of the shapes are stars?",
"answer0": "$$\\frac{3}{9}$$",
"answer1": "$$\\frac{3}{6}$$",
"answer2": "$$\\frac{6}{9}$$",
"answer3": "$$\\frac{6}{3}$$",
"correct_answer": 0,
"skill_id": 120,
"difficulty_id": 1,
"explanation": "Method: count the shapes. There are 9 shapes in total and 3 of them are stars. Fraction that are stars = $$\\frac{3}{9}$$. Answer: $$\\frac{3}{9}$$.",
"hints": [
"Count the total number of shapes.",
"Count how many are stars, then write star count over total."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q4",
"image_needed": true,
"image_options": false,
"image_file": "q4.png",
"image_page": 4,
"image_bbox": [
0.26,
0.12,
0.5,
0.26
],
"image_loc": "3x3 grid of crescent and star shapes below the question",
"notes": "Key: option (1) = 3/9. correct_answer index 0. 9 shapes total, 3 stars. Stem refers to a star shape (the small star icon shown inline in the question)."
},
{
"n": 5,
"type_id": 1,
"question": "How many one-fifths are there in 3 wholes?",
"answer0": "$$\\frac{5}{3}$$",
"answer1": "$$\\frac{3}{5}$$",
"answer2": "3",
"answer3": "15",
"correct_answer": 3,
"skill_id": 119,
"difficulty_id": 2,
"explanation": "Method: each whole has 5 one-fifths. 3 wholes = 3 x 5 = 15 one-fifths. Answer: 15.",
"hints": [
"1 whole = $$\\frac{5}{5}$$ = 5 one-fifths.",
"Multiply 5 by the number of wholes."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q5",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: option (4) = 15. correct_answer index 3."
},
{
"n": 6,
"type_id": 1,
"question": "The digit 6 in 23.16 stands for 6 ________",
"answer0": "tens",
"answer1": "ones",
"answer2": "tenths",
"answer3": "hundredths",
"correct_answer": 3,
"skill_id": 123,
"difficulty_id": 1,
"explanation": "Method: in 23.16, the digit after the decimal point is tenths and the next is hundredths. The 6 is in the hundredths place, so it stands for 6 hundredths. Answer: hundredths.",
"hints": [
"The first place after the decimal point is tenths.",
"The second place after the decimal point is hundredths."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q6",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: option (4) = hundredths. correct_answer index 3."
},
{
"n": 7,
"type_id": 1,
"question": "The bar graph shows the number of flowers Mrs Soh sold over 5 days.
On which day did Mrs Soh sell twice as many flowers as on Tuesday?",
"answer0": "Monday",
"answer1": "Wednesday",
"answer2": "Thursday",
"answer3": "Friday",
"correct_answer": 0,
"skill_id": 104,
"difficulty_id": 2,
"explanation": "Method: from the graph, Tuesday = 30 flowers. Twice 30 = 60. Monday = 60 flowers. Answer: Monday.",
"hints": [
"Read off the number of flowers sold on Tuesday.",
"Find the day whose bar is double the Tuesday value."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q7",
"image_needed": true,
"image_options": false,
"image_file": "q7.png",
"image_page": 5,
"image_bbox": [
0.21,
0.14,
0.86,
0.47
],
"image_loc": "horizontal bar graph 'Number of Flowers Sold Over 5 Days' below the question",
"notes": "Key: option (1) = Monday. correct_answer index 0. Tuesday=30, Monday=60."
},
{
"n": 8,
"type_id": 1,
"question": "The table shows the favourite canteen stalls of 40 students.
Stall A: 7, Stall B: 10, Stall C: 20, Stall D: 3.
Which of the following pie charts shows the above information?",
"answer0": "Pie chart 1",
"answer1": "Pie chart 2",
"answer2": "Pie chart 3",
"answer3": "Pie chart 4",
"correct_answer": 2,
"skill_id": 235,
"difficulty_id": 2,
"explanation": "Method: C is the largest (20, half of 40) so its slice should be the biggest (half the circle); B (10) is a quarter; A (7) is just over a sixth; D (3) is the smallest. Pie chart (3) shows C as the largest slice with B next, then A, then the small D. Answer: pie chart 3.",
"hints": [
"Stall C has half the students, so its slice is half the circle.",
"Stall D has the fewest, so it has the smallest slice."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q8",
"image_needed": true,
"image_options": true,
"image_file": null,
"image_page": 6,
"image_bbox": [
0.2,
0.3,
0.5,
0.92
],
"image_loc": "four labelled pie charts (1)-(4) below the table",
"notes": "Key: option (3). correct_answer index 2. Image options: crop each pie chart to q8_opt0.png (chart 1), q8_opt1.png (chart 2), q8_opt2.png (chart 3), q8_opt3.png (chart 4). Table data also needed - could be a separate small crop, but values are in the stem."
},
{
"n": 9,
"type_id": 1,
"question": "The figure is made up of Square P of side 5 cm and Rectangle Q with breadth 3 cm. What is the length of rectangle Q?",
"answer0": "5 cm",
"answer1": "7 cm",
"answer2": "8 cm",
"answer3": "10 cm",
"correct_answer": 1,
"skill_id": 138,
"difficulty_id": 2,
"explanation": "Method: Square P has side 5 cm. Rectangle Q's bottom is level with Square P's bottom, and Q's top is 2 cm above P's top. Length of Q = side of P + overlap = 5 cm + 2 cm = 7 cm. Answer: 7 cm.",
"hints": [
"The square's side is 5 cm.",
"The rectangle extends 2 cm above the square at the top."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q9",
"image_needed": true,
"image_options": false,
"image_file": "q9.png",
"image_page": 7,
"image_bbox": [
0.22,
0.13,
0.65,
0.37
],
"image_loc": "figure of Square P and Rectangle Q with 3 cm, 2 cm, 5 cm and ? labels",
"notes": "Key: option (2) = 7 cm. correct_answer index 1."
},
{
"n": 10,
"type_id": 1,
"question": "The figure is formed by two rectangles PQRS and STUV. $$\\angle$$PST = 41°. Find $$\\angle$$PSV.",
"answer0": "49°",
"answer1": "90°",
"answer2": "131°",
"answer3": "139°",
"correct_answer": 2,
"skill_id": 194,
"difficulty_id": 3,
"explanation": "Method: $$\\angle$$TSV is a right angle of rectangle STUV = 90°. $$\\angle$$PSV = $$\\angle$$PST + $$\\angle$$TSV = 41° + 90° = 131°. Answer: 131°.",
"hints": [
"STUV is a rectangle, so $$\\angle$$TSV = 90°.",
"Add the 41° angle to the right angle at S."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q10",
"image_needed": true,
"image_options": false,
"image_file": "q10.png",
"image_page": 7,
"image_bbox": [
0.3,
0.56,
0.72,
0.8
],
"image_loc": "two overlapping rectangles PQRS and STUV with 41° marked at S",
"notes": "Key: option (3) = 131°. correct_answer index 2."
},
{
"n": 11,
"type_id": 1,
"question": "Which of the following dotted line in the figure does not show the correct line of symmetry?",
"answer0": "Figure 1 (square with diagonal)",
"answer1": "Figure 2 (4-headed arrow with vertical line)",
"answer2": "Figure 3 (smiley face with vertical line)",
"answer3": "Figure 4 (parallelogram with diagonal)",
"correct_answer": 3,
"skill_id": 145,
"difficulty_id": 2,
"explanation": "Method: check each dotted line. The square's diagonal, the arrow's vertical line and the face's vertical line are all valid lines of symmetry. A parallelogram has no line of symmetry along its diagonal, so figure 4 is incorrect. Answer: figure 4.",
"hints": [
"A line of symmetry folds the figure into two matching halves.",
"A parallelogram's diagonal does not give two mirror halves."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q11",
"image_needed": true,
"image_options": true,
"image_file": null,
"image_page": 8,
"image_bbox": [
0.28,
0.14,
0.55,
0.83
],
"image_loc": "four figures (1)-(4) each with a dotted line",
"notes": "Key: option (4). correct_answer index 3. Image options: crop each to q11_opt0.png (square), q11_opt1.png (arrow), q11_opt2.png (face), q11_opt3.png (parallelogram)."
},
{
"n": 12,
"type_id": 1,
"question": "Which of the following is a net of a cube?",
"answer0": "Net 1 (cross / plus shape)",
"answer1": "Net 2",
"answer2": "Net 3",
"answer3": "Net 4",
"correct_answer": 0,
"skill_id": 232,
"difficulty_id": 2,
"explanation": "Method: a net of a cube must fold into six faces without overlapping. The cross-shaped net (option 1) folds into a cube. The others overlap or leave gaps. Answer: net 1.",
"hints": [
"A cube net has exactly 6 squares.",
"Mentally fold each net - only the cross shape forms a closed cube."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q12",
"image_needed": true,
"image_options": true,
"image_file": null,
"image_page": 9,
"image_bbox": [
0.27,
0.13,
0.55,
0.82
],
"image_loc": "four square-arrangement nets (1)-(4)",
"notes": "Key: option (1). correct_answer index 0. Image options: crop each to q12_opt0.png (cross net), q12_opt1.png, q12_opt2.png, q12_opt3.png."
},
{
"n": 13,
"type_id": 1,
"question": "The rectangle has a perimeter of 36 cm. The length is 12 cm. Find the area of the rectangle.",
"answer0": "30 $$cm^2$$",
"answer1": "48 $$cm^2$$",
"answer2": "72 $$cm^2$$",
"answer3": "144 $$cm^2$$",
"correct_answer": 2,
"skill_id": 136,
"difficulty_id": 2,
"explanation": "Method: perimeter = 2 x (length + breadth). 36 = 2 x (12 + breadth), so length + breadth = 18, breadth = 18 - 12 = 6 cm. Area = length x breadth = 12 x 6 = 72 $$cm^2$$. Answer: 72 $$cm^2$$.",
"hints": [
"Half the perimeter equals length + breadth.",
"Breadth = 18 - 12. Then area = length x breadth."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q13",
"image_needed": true,
"image_options": false,
"image_file": "q13.png",
"image_page": 10,
"image_bbox": [
0.3,
0.13,
0.53,
0.23
],
"image_loc": "rectangle with 12 cm marked on the base",
"notes": "Key: option (3) = 72 cm2. correct_answer index 2. Breadth = 6 cm."
},
{
"n": 14,
"type_id": 1,
"question": "Devi made a bracelet using some beads strung together in a repeated pattern. The first 13 beads are shown.
Which of the following is the 100th bead?",
"answer0": "White bead",
"answer1": "Dotted bead",
"answer2": "Black bead",
"answer3": "Striped bead",
"correct_answer": 0,
"skill_id": 108,
"difficulty_id": 3,
"explanation": "Method: the pattern repeats every 4 beads: dotted, black, dotted, white (positions 1-4). 100 ÷ 4 = 25 remainder 0, so the 100th bead is the 4th bead in the unit, which is white. Answer: white bead.",
"hints": [
"Find the length of the repeating unit.",
"Divide 100 by the unit length and use the remainder to find the position."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q14",
"image_needed": true,
"image_options": true,
"image_file": "q14.png",
"image_page": 10,
"image_bbox": [
0.2,
0.49,
0.8,
0.57
],
"image_loc": "row of 13 patterned beads labelled 1st, 2nd, 3rd ... 13th",
"notes": "Key: option (1) = white bead. correct_answer index 0. Repeating unit is 4 beads ending in white; 100 is a multiple of 4. Bead pattern image q14.png shows the sequence; option images q14_opt0..3.png show white/dotted/black/striped single beads."
},
{
"n": 15,
"type_id": 1,
"question": "Ahmad folds a rectangular piece of paper along the dotted line as shown. Find $$\\angle$$a.",
"answer0": "10°",
"answer1": "20°",
"answer2": "35°",
"answer3": "55°",
"correct_answer": 1,
"skill_id": 197,
"difficulty_id": 3,
"explanation": "Method: the corner of the rectangle is a right angle (90°). After folding, the original 90° corner is split. The folded part keeps 35°, and by symmetry of the fold the angle a together with two 35° angles makes 90°: a = 90° - 35° - 35° = 20°. Answer: 20°.",
"hints": [
"The rectangle corner is 90°.",
"Folding reflects the 35° angle; subtract two 35° from 90°."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q15",
"image_needed": true,
"image_options": false,
"image_file": "q15.png",
"image_page": 11,
"image_bbox": [
0.23,
0.16,
0.82,
0.33
],
"image_loc": "rectangle being folded along dotted line with resulting triangle showing a and 35°",
"notes": "Key: option (2) = 20°. correct_answer index 1."
},
{
"n": 16,
"type_id": 2,
"question": "45 069 = 40 000 + 5000 + [?] + 9",
"answer0": "60",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 105,
"difficulty_id": 1,
"explanation": "Method: 45 069 = 40 000 + 5000 + ? + 9. Sum of known parts = 40 000 + 5000 + 9 = 45 009. Missing number = 45 069 - 45 009 = 60. Answer: 60.",
"hints": [
"Add the parts you already know.",
"Subtract that total from 45 069."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q16",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 60."
},
{
"n": 17,
"type_id": 2,
"question": "Write the missing number in the number pattern below.
11 000 , 10 600 , 10 200 , [?] , 9400",
"answer0": "9800",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 108,
"difficulty_id": 1,
"explanation": "Method: the pattern decreases by 400 each time (11 000 - 10 600 = 400). 10 200 - 400 = 9800. Check: 9800 - 400 = 9400. Answer: 9800.",
"hints": [
"Find the difference between consecutive terms.",
"Subtract that difference from 10 200."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q17",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 9800."
},
{
"n": 18,
"type_id": 2,
"question": "Which two of the fractions below are smaller than $$\\frac{1}{2}$$?
$$\\frac{3}{4}$$ , $$\\frac{4}{9}$$ , $$\\frac{5}{10}$$ , $$\\frac{3}{7}$$",
"answer0": "4/9",
"answer1": "3/7",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 79,
"difficulty_id": 2,
"explanation": "Method: compare each to $$\\frac{1}{2}$$. $$\\frac{3}{4}$$ > $$\\frac{1}{2}$$; $$\\frac{4}{9}$$ < $$\\frac{1}{2}$$ (since half of 9 is 4.5); $$\\frac{5}{10}$$ = $$\\frac{1}{2}$$; $$\\frac{3}{7}$$ < $$\\frac{1}{2}$$ (since half of 7 is 3.5). The two smaller than a half are $$\\frac{4}{9}$$ and $$\\frac{3}{7}$$. Answer: $$\\frac{4}{9}$$ and $$\\frac{3}{7}$$.",
"hints": [
"A fraction is less than a half if the numerator is less than half the denominator.",
"Check 4 vs 4.5, and 3 vs 3.5."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q18",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 4/9 and 3/7. Two-blank FIB; answers entered as plain a/b."
},
{
"n": 19,
"type_id": 2,
"question": "What is the value of $$\\frac{2}{3}$$ + $$\\frac{5}{6}$$? Express your answer as a mixed number.",
"answer0": "1 1/2",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 121,
"difficulty_id": 2,
"explanation": "Method: make the denominators the same. $$\\frac{2}{3}$$ = $$\\frac{4}{6}$$. $$\\frac{4}{6}$$ + $$\\frac{5}{6}$$ = $$\\frac{9}{6}$$ = $$1\\frac{3}{6}$$ = $$1\\frac{1}{2}$$. Answer: $$1\\frac{1}{2}$$.",
"hints": [
"Convert $$\\frac{2}{3}$$ to sixths.",
"Add, then simplify the improper fraction to a mixed number."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q19",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 1 1/2. Mixed number answer typed as '1 1/2'."
},
{
"n": 20,
"type_id": 2,
"question": "EFGH is a square. Find $$\\angle$$y.",
"answer0": "48",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 197,
"difficulty_id": 2,
"explanation": "Method: $$\\angle$$E of the square is a right angle = 90°. The diagonal line splits it into 42° and y. y = 90° - 42° = 48°. Answer: 48°.",
"hints": [
"A corner of a square is 90°.",
"Subtract 42° from 90°."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q20",
"image_needed": true,
"image_options": false,
"image_file": "q20.png",
"image_page": 13,
"image_bbox": [
0.3,
0.4,
0.56,
0.56
],
"image_loc": "square EFGH with a line from E and angles y and 42° at corner E",
"notes": "Key: 90-42=48. Answer 48 (degrees). Unit shown as superscript ' on the answer line."
},
{
"n": 21,
"type_id": 2,
"question": "Express 0.15 as a fraction.",
"answer0": "15/100",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 126,
"difficulty_id": 1,
"explanation": "Method: 0.15 has 2 decimal places, so it is 15 hundredths = $$\\frac{15}{100}$$. Answer: $$\\frac{15}{100}$$.",
"hints": [
"Two decimal places means hundredths.",
"Write the digits over 100."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q21",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key shows 15/100 (not simplified). Answer typed as plain 15/100."
},
{
"n": 22,
"type_id": 2,
"question": "Round 18.57 to the nearest whole number.",
"answer0": "19",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 128,
"difficulty_id": 1,
"explanation": "Method: look at the tenths digit. 18.57 has 5 in the tenths place, which is 5 or more, so round up. 18.57 rounds to 19. Answer: 19.",
"hints": [
"Look at the first digit after the decimal point.",
"5 or more rounds up."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q22",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 19."
},
{
"n": 23,
"type_id": 2,
"question": "7.3 − 0.92 = [?]",
"answer0": "6.38",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 129,
"difficulty_id": 2,
"explanation": "Method: align the decimals. 7.30 - 0.92 = 6.38. Answer: 6.38.",
"hints": [
"Write 7.3 as 7.30.",
"Subtract column by column."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q23",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 6.38."
},
{
"n": 24,
"type_id": 2,
"question": "Find the value of 5.79 × 6.",
"answer0": "34.74",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 130,
"difficulty_id": 2,
"explanation": "Method: 5.79 x 6 = 34.74 (since 579 x 6 = 3474, then place the decimal two places). Answer: 34.74.",
"hints": [
"Multiply as if there were no decimal point first.",
"Then put the decimal point two places from the right."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q24",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key: 34.74."
},
{
"n": 25,
"type_id": 2,
"question": "The pie chart shows how Edwin uses his monthly pocket money. Savings is $$\\frac{1}{6}$$. What fraction of Edwin's monthly pocket money is spent on stationery?",
"answer0": "1/12",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 236,
"difficulty_id": 3,
"explanation": "Method: the right angle mark shows Transport = $$\\frac{1}{4}$$. Savings = $$\\frac{1}{6}$$. Food & drinks is the half shown by the straight line = $$\\frac{1}{2}$$. Stationery = 1 - $$\\frac{1}{2}$$ - $$\\frac{1}{6}$$ - $$\\frac{1}{4}$$. Using twelfths: $$\\frac{12}{12}$$ - $$\\frac{6}{12}$$ - $$\\frac{2}{12}$$ - $$\\frac{3}{12}$$ = $$\\frac{1}{12}$$. Answer: $$\\frac{1}{12}$$.",
"hints": [
"The whole circle is 1. Food & drinks is half, Transport is a quarter (right-angle mark), Savings is a sixth.",
"Subtract all the known fractions from 1 using a common denominator of 12."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q25",
"image_needed": true,
"image_options": false,
"image_file": "q25.png",
"image_page": 15,
"image_bbox": [
0.3,
0.13,
0.6,
0.36
],
"image_loc": "pie chart with sectors Savings (1/6), Stationery, Transport (right angle), Food & drinks",
"notes": "Key working: 12/12 - 6/12 - 2/12 - 3/12 = 1/12. Answer 1/12 typed as plain 1/12."
},
{
"n": 26,
"type_id": 2,
"question": "The table shows the favourite fruits of a group of students.
Apple: 35, Mango: [?], Orange: 32, Papaya: 54.
$$\\frac{2}{5}$$ of the students chose papaya as their favourite fruit. How many students chose mango as their favourite fruit?",
"answer0": "14",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 118,
"difficulty_id": 3,
"explanation": "Method: $$\\frac{2}{5}$$ of the total = 54 (papaya), so total = 54 ÷ 2 x 5 = 135 students. Mango = total - apple - orange - papaya = 135 - 35 - 32 - 54 = 14. Answer: 14.",
"hints": [
"Papaya (54) is $$\\frac{2}{5}$$ of all students - find the total first.",
"Subtract the other three fruit counts from the total."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q26",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key working: 35+32=67; 67+54=121; total 135; 135-121=14. Answer 14. Table reproduced in stem so no image needed."
},
{
"n": 27,
"type_id": 2,
"question": "The bar graph shows the amount of money spent by Cindy over 5 days. Cindy was given $20 pocket money on each day. How much money did she have left at the end of the 5 days?",
"answer0": "$40",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 148,
"difficulty_id": 3,
"explanation": "Method: read the spending: Mon $12, Tue $16, Wed $8, Thu $14, Fri $10. Total spent = 12+16+8+14+10 = $60. Total given = 5 x $20 = $100. Left = 100 - 60 = $40. Answer: $40.",
"hints": [
"Add up the amounts she spent each day from the bars.",
"Subtract total spent from 5 x $20."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q27",
"image_needed": true,
"image_options": false,
"image_file": "q27.png",
"image_page": 17,
"image_bbox": [
0.2,
0.14,
0.85,
0.46
],
"image_loc": "vertical bar graph 'Amount of Money Cindy Spent Over 5 Days'",
"notes": "Key working: 12+16=28; 28+8=36; 36+14=50; 50+10=60 spent; 20x5=100; 100-60=40. Answer $40."
},
{
"n": 28,
"type_id": 2,
"question": "Save more when you buy more! 1 cupcake for $4. 3 cupcakes for $10.
Mrs Lim wants to buy 35 cupcakes. What is the least amount of money she must pay for them?",
"answer0": "$118",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 118,
"difficulty_id": 3,
"explanation": "Method: buying in packs of 3 is cheaper ($10 for 3 vs $12). 35 ÷ 3 = 11 packs remainder 2. 11 packs x $10 = $110 for 33 cupcakes. The remaining 2 cupcakes at $4 each = $8. Total = 110 + 8 = $118. Answer: $118.",
"hints": [
"Buying in 3s is the cheaper rate, so buy as many 3-packs as possible.",
"35 = 11 threes and 2 singles."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q28",
"image_needed": true,
"image_options": false,
"image_file": "q28.png",
"image_page": 18,
"image_bbox": [
0.25,
0.13,
0.6,
0.33
],
"image_loc": "'Save more when you buy more!' cupcake advert box with prices",
"notes": "Key working: 35÷3 = 11R2; 11x10=110; 110+4+4=118. Answer $118. Prices given in stem so figure is decorative; could be skipped, but advert box recorded."
},
{
"n": 29,
"type_id": 2,
"question": "Sally mixed 1.73 $$l$$ of orange syrup with 4.55 $$l$$ of water. She poured the mixture equally into 4 bottles. How many litres of the mixture were there in each bottle?",
"answer0": "1.57",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 131,
"difficulty_id": 2,
"explanation": "Method: total mixture = 1.73 + 4.55 = 6.28 $$l$$. Each bottle = 6.28 ÷ 4 = 1.57 $$l$$. Answer: 1.57 $$l$$.",
"hints": [
"Add the syrup and water volumes first.",
"Divide the total by 4 bottles."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q29",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key working: 1.73+4.55=6.28; 6.28÷4=1.57. Answer 1.57 (litres)."
},
{
"n": 30,
"type_id": 2,
"question": "The mass of a watermelon is 3.4 kg. It is 5 times as heavy as a pear. What is the total mass of the pear and the watermelon?",
"answer0": "4.08",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 131,
"difficulty_id": 2,
"explanation": "Method: pear = 3.4 ÷ 5 = 0.68 kg. Total = watermelon + pear = 3.4 + 0.68 = 4.08 kg. Answer: 4.08 kg.",
"hints": [
"The watermelon is 5 times the pear, so divide to find the pear's mass.",
"Add the pear's mass to the watermelon's mass."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q30",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key working: 3.4÷5=0.68; 3.4+0.68=4.08. Answer 4.08 (kg)."
},
{
"n": 31,
"type_id": 2,
"question": "Mr and Mrs Tan took their children to watch a circus show on a Sunday. They bought 5 tickets in total. They had 3 children whose ages were 8, 13 and 14.
Circus Show Ticket Prices — Adult: Mon–Fri $33.50, Sat–Sun $38.50. Children (12 years and below): Mon–Fri $16, Sat–Sun $22.
How much did the 5 tickets cost altogether?",
"answer0": "$176",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 118,
"difficulty_id": 3,
"explanation": "Method: it is Sunday, so use Sat–Sun prices. The two parents and the two older children (13 and 14, over 12) all pay adult: 4 adults x $38.50 = $154. The 8-year-old pays child: $22. Total = 154 + 22 = $176. Answer: $176.",
"hints": [
"Children 12 and below pay child price - only the 8-year-old qualifies.",
"Use Sat–Sun prices: 4 adults plus 1 child."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q31",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key working: 38.5x4=154; 154+22=176. Answer $176. Ticket-price table reproduced in stem so no image needed."
},
{
"n": 32,
"type_id": 1,
"question": "Name the angle that is equal to 105°.",
"answer0": "$$\\angle$$ABD",
"answer1": "$$\\angle$$DBG",
"answer2": "$$\\angle$$ABF",
"answer3": "$$\\angle$$CBF",
"correct_answer": 1,
"skill_id": 140,
"difficulty_id": 2,
"explanation": "Method: using the protractor, ray BG reads 150° from BA and ray BD reads 45° from BA (15° above BC). $$\\angle$$DBG = 150° - 45° = 105°. Answer: $$\\angle$$DBG.",
"hints": [
"Read each ray's measurement off the protractor.",
"The 105° angle is between rays BD and BG."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q32",
"image_needed": true,
"image_options": false,
"image_file": "q32.png",
"image_page": 20,
"image_bbox": [
0.18,
0.15,
0.72,
0.36
],
"image_loc": "protractor with rays to A, B(centre), C, D, F, G",
"notes": "Key: DBG. Converted from open-ended 'name the angle' to MCQ. correct_answer index 1 ($$\\angle$$DBG)."
},
{
"n": 33,
"type_id": 0,
"question": "Use a ruler to draw the line of symmetry in the figure below.",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 145,
"difficulty_id": 2,
"explanation": "Method: the shaded pattern on the 6x6 grid is symmetric about the main diagonal. The line of symmetry is the diagonal from the top-right corner to the bottom-left corner. Answer: draw the diagonal line of symmetry (top-right to bottom-left).",
"hints": [
"Look for a fold line that maps shaded squares onto shaded squares.",
"Try the diagonal of the grid."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q33",
"image_needed": true,
"image_options": false,
"image_file": "q33.png",
"image_page": 20,
"image_bbox": [
0.2,
0.52,
0.58,
0.92
],
"image_loc": "6x6 grid with some shaded squares, line of symmetry to be drawn",
"notes": "Interactive draw-the-line task - no value answer. type_id 0, SKIPPED on insert. Key shows the symmetry line drawn as the diagonal."
},
{
"n": 34,
"type_id": 0,
"question": "The figure shows a prism with triangular cross-section (base 2 units, 2 units, height 4 units).
(a) Draw its 3-dimensional shape using the isometric grid.
(b) The figure shown is not a net of the prism because it has an extra face. Find the extra face and put a cross (x) on it.",
"answer0": null,
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 231,
"difficulty_id": 2,
"explanation": "Method: (a) draw the triangular prism on the isometric grid (two triangular ends, three rectangular faces). (b) a triangular prism net needs 2 triangles + 3 rectangles. The given net has an extra rectangular face along the strip of squares - cross out the extra (bottom) rectangle. Answer: (a) isometric triangular prism; (b) cross on the extra face.",
"hints": [
"A triangular prism has 2 triangular faces and 3 rectangular faces.",
"Count the faces in the net - one rectangle is extra."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q34",
"image_needed": true,
"image_options": false,
"image_file": "q34.png",
"image_page": 21,
"image_bbox": [
0.34,
0.12,
0.62,
0.33
],
"image_loc": "triangular prism drawing (2 units, 2 units, 4 units) at top of question",
"notes": "Interactive draw-on-grid + cross-out task - no value answer. type_id 0, SKIPPED on insert. Key (a) shows isometric prism, (b) shows a cross on the extra face."
},
{
"n": 35,
"type_id": 2,
"question": "The figure is made up of straight lines that meet at right angles. Find its area.",
"answer0": "83",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 138,
"difficulty_id": 3,
"explanation": "Method: split the T-shape into rectangles. Top bar = 10 cm x 3 cm = 30 $$cm^2$$. The vertical stem and base: working from the key, 11 x 3 = 33 $$cm^2$$ for the stem and 8 x 4 = 32 $$cm^2$$ for the lower step; 30 + 21 + 32 = 83. (Key: 11-3=8, 3x7=21, 8x4=32, 10x3=30, 21+32=53, 53+30=83.) Answer: 83 $$cm^2$$.",
"hints": [
"Cut the figure into rectangles using the right-angle marks.",
"Find each rectangle's area and add them together."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q35",
"image_needed": true,
"image_options": false,
"image_file": "q35.png",
"image_page": 22,
"image_bbox": [
0.18,
0.15,
0.58,
0.42
],
"image_loc": "T-shaped rectilinear figure with 10 cm, 3 cm, 11 cm, 7 cm labels",
"notes": "Key working: 11-3=8; 3x7=21; 8x4=32; 10x3=30; 21+32=53; 53+30=83. Answer 83 (cm2)."
},
{
"n": 36,
"type_id": 2,
"question": "A piece of wire was bent to form a square of side 12 cm as shown in Figure 1. The same piece of wire was then bent to form a rectangle as shown in Figure 2. The length of the rectangle was twice as long as its breadth. Find the length of the rectangle in Figure 2.",
"answer0": "16",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 136,
"difficulty_id": 3,
"explanation": "Method: perimeter of wire = square perimeter = 12 x 4 = 48 cm. For the rectangle, length = 2 x breadth, so perimeter = 2(length + breadth) = 2(2b + b) = 6b = 48, giving breadth b = 8 cm and length = 2 x 8 = 16 cm. Answer: 16 cm.",
"hints": [
"The wire length stays the same: perimeter of square = 12 x 4.",
"Rectangle perimeter has 6 equal 'breadth' parts since length = 2 breadths."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q36",
"image_needed": true,
"image_options": false,
"image_file": "q36.png",
"image_page": 23,
"image_bbox": [
0.18,
0.21,
0.78,
0.37
],
"image_loc": "Figure 1 square (12 cm) and Figure 2 rectangle with arrow between",
"notes": "Key working: 12x4=48; 2+2+1+1=6; 48÷6=8; 8x2=16. Answer 16 (cm)."
},
{
"n": 37,
"type_id": 2,
"question": "The cost of 6 identical laptops is $7692. Find the cost of 5 such laptops.",
"answer0": "$6410",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 118,
"difficulty_id": 2,
"explanation": "Method: cost of 1 laptop = 7692 ÷ 6 = $1282. Cost of 5 laptops = 1282 x 5 = $6410. Answer: $6410.",
"hints": [
"Find the cost of one laptop first.",
"Multiply the unit cost by 5."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q37",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key working: 7692÷6=1282; 1282x5=6410. Answer $6410. [3 marks]"
},
{
"n": 38,
"type_id": 2,
"question": "Leon has $$\\frac{2}{5}$$ kg of flour in a container. He has $$\\frac{1}{2}$$ kg of flour less than Siti. How much flour do they have altogether? Express your answer as a mixed number in its simplest form.",
"answer0": "1 3/10",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 122,
"difficulty_id": 3,
"explanation": "Method: Siti has $$\\frac{2}{5}$$ + $$\\frac{1}{2}$$ = $$\\frac{4}{10}$$ + $$\\frac{5}{10}$$ = $$\\frac{9}{10}$$ kg. Altogether = Leon + Siti = $$\\frac{4}{10}$$ + $$\\frac{9}{10}$$ = $$\\frac{13}{10}$$ = $$1\\frac{3}{10}$$ kg. Answer: $$1\\frac{3}{10}$$ kg.",
"hints": [
"Leon has less than Siti, so Siti = Leon + $$\\frac{1}{2}$$.",
"Add both amounts using a common denominator of 10."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q38",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key working: 4/10+5/10=9/10 (Siti); 9/10+4/10=1 3/10. Answer 1 3/10 (kg). [3 marks]"
},
{
"n": 39,
"type_id": 2,
"question": "A tank was completely filled with water at first. The line graph shows the volume of water left in the tank over a 5-hour period.
(a) At what time was the tank half filled with water?
(b) What fraction of the tank was filled with water at 14 00? Express your answer in its simplest form.",
"answer0": "12 00",
"answer1": "1/5",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 147,
"difficulty_id": 3,
"explanation": "Method: the tank starts full at 80 $$l$$ (at 09 00). (a) Half full = 40 $$l$$, which the graph reaches at 12 00. (b) At 14 00 the volume is 16 $$l$$. Fraction = $$\\frac{16}{80}$$ = $$\\frac{1}{5}$$. Answer: (a) 12 00; (b) $$\\frac{1}{5}$$.",
"hints": [
"The tank is full at 80 litres - half is 40 litres.",
"Read the 14 00 volume and write it as a fraction of 80, then simplify."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q39",
"image_needed": true,
"image_options": false,
"image_file": "q39.png",
"image_page": 25,
"image_bbox": [
0.19,
0.14,
0.85,
0.46
],
"image_loc": "line graph 'Volume of water in a tank' plotting volume against time 09 00 to 14 00",
"notes": "Two-part question (a) 12 00 [1] (b) 1/5 [2]. Key: a) 1200, b) 1/5. answer0=12 00, answer1=1/5 (plain). Full at 80, half at 40 -> 12 00; at 14 00 = 16 -> 16/80 = 1/5."
},
{
"n": 40,
"type_id": 2,
"question": "The figure is made up of 4 identical rectangular tiles and 1 grey square tile. The length of the grey square tile is 2 cm. The overall height is 7 cm.
(a) Find the breadth of the rectangle.
(b) Samy rearranged the tiles to form a new figure. Find the perimeter of the new figure.",
"answer0": "5",
"answer1": "70",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 138,
"difficulty_id": 3,
"explanation": "Method: (a) the rectangle's length = 7 - 2 = 5 cm, and the breadth = 7 - 2 = 5 cm. (Key: 7 - 2 = 5.) (b) the rectangle is 7 cm by 5 cm and the square is 2 cm. From the key: 7x4=28, 5x6=30, 2x6=12; 28+12=40; 40+30=70. Perimeter of the new figure = 70 cm. Answer: (a) 5 cm; (b) 70 cm.",
"hints": [
"Use the 7 cm total and the 2 cm square to find the rectangle's side.",
"For the perimeter, add up all the outer edges of the rearranged figure."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q40",
"image_needed": true,
"image_options": false,
"image_file": "q40.png",
"image_page": 26,
"image_bbox": [
0.3,
0.14,
0.58,
0.34
],
"image_loc": "figure of 4 rectangular tiles around a grey 2 cm square, with 7 cm and ? labels (part a figure)",
"notes": "Two-part. Key: a) 7-2=5 (breadth 5 cm); b) 7x4=28, 5x6=30, 2x6=12, 28+12=40, 40+30=70 (perimeter 70 cm). answer0=5, answer1=70. Part (b) also has a rearranged-tiles figure on the same page (lower); primary figure (a) bbox recorded."
},
{
"n": 41,
"type_id": 2,
"question": "Mrs Lee baked some cookies and ate $$\\frac{2}{9}$$ of the cookies. She gave 12 cookies to her friend and had 9 cookies left.
(a) How many cookies did she bake?
(b) What fraction of the cookies did she have left? Express your answer in its simplest form.",
"answer0": "27",
"answer1": "1/3",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 122,
"difficulty_id": 3,
"explanation": "Method: (a) she ate $$\\frac{2}{9}$$, so $$\\frac{7}{9}$$ remained. The 12 given away + 9 left = 21 cookies = $$\\frac{7}{9}$$ of the total. So $$\\frac{1}{9}$$ = 21 ÷ 7 = 3, and the total = 3 x 9 = 27 cookies. (b) cookies left = 9 out of 27 = $$\\frac{9}{27}$$ = $$\\frac{1}{3}$$. Answer: (a) 27; (b) $$\\frac{1}{3}$$.",
"hints": [
"12 + 9 cookies make up the $$\\frac{7}{9}$$ that was not eaten.",
"For (b), write the 9 left over the total and simplify."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q41",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Two-part. Key: a) 12+9=21; 9/9=21÷3x... -> total 27; b) 1/3. answer0=27, answer1=1/3."
},
{
"n": 42,
"type_id": 2,
"question": "Sharon and Leo had a total of 3260 stickers. Sharon had 3 times as many stickers as Leo. How many stickers must Sharon give to Leo so that Sharon has 270 more stickers than Leo?",
"answer0": "680",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 118,
"difficulty_id": 3,
"explanation": "Method: Sharon has 3 units and Leo 1 unit, total 4 units = 3260, so 1 unit = 815. Sharon = 2445, Leo = 815. For Sharon to have 270 more than Leo from a total of 3260: Leo's new amount = (3260 - 270) ÷ 2 = 2990 ÷ 2 = 1495, Sharon's new = 1495 + 270 = 1765. Sharon must give = 2445 - 1765 = 680 stickers. Answer: 680.",
"hints": [
"Split 3260 into 4 equal units (Sharon 3, Leo 1) to find each amount.",
"After giving, Leo = (total - 270) ÷ 2; the amount given = Sharon's old amount minus Sharon's new amount."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q42",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Key working: 3260-270=2990; 2990÷2=1495; 1495+270=1765; 2445-1765=680. Answer 680. [4 marks]"
},
{
"n": 43,
"type_id": 2,
"question": "A bookshop sells pencils in packs of 4 and erasers in packs of 6. 4 pencils for $3. 6 erasers for $5.
(a) Henry bought an equal number of pencils and erasers. What is the least number of pencils he could have bought?
(b) Liling used all her money to buy 44 pencils. Using the same amount of money, what is the greatest number of erasers she could buy?",
"answer0": "12",
"answer1": "36",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 115,
"difficulty_id": 3,
"explanation": "Method: (a) pencils come in 4s, erasers in 6s. The least equal number is the lowest common multiple of 4 and 6 = 12. (b) 44 pencils = 11 packs x $3 = $33. With $33, erasers cost $5 per 6: 33 ÷ 5 = 6 packs ($30) remainder $3, so 6 packs = 36 erasers (the $3 left is not enough for another pack). Answer: (a) 12; (b) 36.",
"hints": [
"(a) Find the lowest common multiple of 4 and 6.",
"(b) Work out the total money for 44 pencils, then see how many $5 eraser packs fit."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q43",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Two-part. Key: a) 12; b) 44÷4=11; 11x3=33; 33÷5=6R3; 6x6=36. answer0=12, answer1=36. Prices given in stem; pencil/eraser pack pictures are decorative."
},
{
"n": 44,
"type_id": 2,
"question": "Keith and Sam had the same amount of money. Keith bought 6 egg tarts and had $1.90 left. Sam wanted to buy 10 egg tarts but was short of $5.50.
(a) What was the cost of 1 egg tart?
(b) How much money did Sam have?",
"answer0": "$1.85",
"answer1": "$13",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 118,
"difficulty_id": 3,
"explanation": "Method: (a) the difference between 10 and 6 egg tarts is 4 egg tarts. Keith had $1.90 left; Sam was short $5.50, so 4 egg tarts cost 1.90 + 5.50 = $7.40. 1 egg tart = 7.40 ÷ 4 = $1.85. (b) Sam (same money as Keith) = cost of 6 egg tarts + $1.90 = (1.85 x 6) + 1.90 = 11.10 + 1.90 = $13. Answer: (a) $1.85; (b) $13.",
"hints": [
"The $1.90 left plus the $5.50 short equals the cost of the extra 4 egg tarts.",
"Both had the same money: use Keith's spending (6 tarts) plus his $1.90 left."
],
"source": "Rosyth 2024 P4 End-of-Year Exam Q44",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Two-part. Key: a) 5.50+1.90=7.40; 7.40÷4=1.85; b) 1.85x6=11.10; 11.10+1.9=13. answer0=$1.85, answer1=$13."
}
]
}