{
"paper": {
"school": "Maris Stella",
"year": 2023,
"level": "P5",
"label": "Weighted Assessment 1",
"source_prefix": "Maris Stella 2023 P5 Weighted Assessment 1",
"has_answer_key": true
},
"questions": [
{
"n": 1,
"type_id": 1,
"question": "What is the value of the digit 9 in 3 981 750?",
"answer0": "9 x 1000",
"answer1": "9 x 10 000",
"answer2": "9 x 100 000",
"answer3": "9 x 1 000 000",
"correct_answer": 2,
"skill_id": 149,
"difficulty_id": 1,
"explanation": "The digit 9 is in the hundred thousands place. Its value is 9 x 100 000 = 900 000. Answer: 9 x 100 000.",
"hints": ["Identify the place of the 9: 3 981 750.", "Hundred thousands place means multiply by 100 000."],
"source": "Maris Stella 2023 P5 Weighted Assessment 1 Q1",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 3 (9 x 100 000)."
},
{
"n": 2,
"type_id": 1,
"question": "3 120 899 = 3 000 000 + ______ + 800 + 99",
"answer0": "120",
"answer1": "1200",
"answer2": "12 000",
"answer3": "120 000",
"correct_answer": 3,
"skill_id": 149,
"difficulty_id": 1,
"explanation": "3 120 899 - 3 000 000 - 800 - 99 = 120 000. So the missing value is 120 000. Answer: 120 000.",
"hints": ["Add the known parts: 3 000 000 + 800 + 99.", "Subtract that from 3 120 899."],
"source": "Maris Stella 2023 P5 Weighted Assessment 1 Q2",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 4 (120 000)."
},
{
"n": 3,
"type_id": 1,
"question": "Which one of the following has the same value as 74 x 90?",
"answer0": "74 + 9 x 10",
"answer1": "74 x 9 x 10",
"answer2": "70 x 4 x 90",
"answer3": "70 + 4 x 90",
"correct_answer": 1,
"skill_id": 151,
"difficulty_id": 2,
"explanation": "90 = 9 x 10, so 74 x 90 = 74 x 9 x 10. Answer: 74 x 9 x 10.",
"hints": ["Split 90 into 9 x 10.", "Multiplication can be regrouped: 74 x (9 x 10)."],
"source": "Maris Stella 2023 P5 Weighted Assessment 1 Q3",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 2 (74 x 9 x 10)."
},
{
"n": 4,
"type_id": 1,
"question": "\\(\\dfrac{2}{3}\\) of a number is 24. What is the number?",
"answer0": "8",
"answer1": "12",
"answer2": "16",
"answer3": "36",
"correct_answer": 3,
"skill_id": 165,
"difficulty_id": 2,
"explanation": "\\(\\dfrac{2}{3}\\) of the number = 24, so \\(\\dfrac{1}{3}\\) = 24 ÷ 2 = 12. The whole number = 12 x 3 = 36. Answer: 36.",
"hints": ["Find 1 part (one third) first.", "1 unit = 24 ÷ 2 = 12; whole = 3 units."],
"source": "Maris Stella 2023 P5 Weighted Assessment 1 Q4",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 4 (36)."
},
{
"n": 5,
"type_id": 1,
"question": "Which fraction is nearest to 1?",
"answer0": "\\(\\dfrac{8}{9}\\)",
"answer1": "\\(\\dfrac{7}{8}\\)",
"answer2": "\\(\\dfrac{5}{6}\\)",
"answer3": "\\(\\dfrac{3}{4}\\)",
"correct_answer": 0,
"skill_id": 159,
"difficulty_id": 2,
"explanation": "Each fraction is 1 minus a unit fraction: \\(\\dfrac{8}{9}=1-\\dfrac{1}{9}\\), \\(\\dfrac{7}{8}=1-\\dfrac{1}{8}\\), \\(\\dfrac{5}{6}=1-\\dfrac{1}{6}\\), \\(\\dfrac{3}{4}=1-\\dfrac{1}{4}\\). The smallest gap is \\(\\dfrac{1}{9}\\), so \\(\\dfrac{8}{9}\\) is nearest to 1.",
"hints": ["Compare how far each fraction is from 1.", "1 minus the fraction gives the gap; smallest gap wins."],
"source": "Maris Stella 2023 P5 Weighted Assessment 1 Q5",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option 1 (8/9)."
},
{
"n": 6,
"type_id": 2,
"question": "Find the value of $100 - (30 \\times 2) \\div (3 + 2) \\times 4$. [?]",
"answer0": "52",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 155,
"difficulty_id": 2,
"explanation": "Work the brackets first: (30 x 2) = 60, (3 + 2) = 5. Then left to right for × and ÷: 60 ÷ 5 = 12, 12 x 4 = 48. Finally 100 - 48 = 52. Answer: 52.",
"hints": ["Do the brackets first.", "Then × and ÷ from left to right, before the subtraction."],
"source": "Maris Stella 2023 P5 Weighted Assessment 1 Q6",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 52."
},
{
"n": 7,
"type_id": 1,
"question": "Find the value of \\(\\dfrac{2}{6} \\times \\dfrac{3}{10}\\). Express your answer in its simplest form.",
"answer0": "\\(\\dfrac{1}{10}\\)",
"answer1": "\\(\\dfrac{6}{60}\\)",
"answer2": "\\(\\dfrac{1}{5}\\)",
"answer3": "\\(\\dfrac{5}{16}\\)",
"correct_answer": 0,
"skill_id": 161,
"difficulty_id": 2,
"explanation": "\\(\\dfrac{2}{6} \\times \\dfrac{3}{10} = \\dfrac{6}{60} = \\dfrac{1}{10}\\). Answer: \\(\\dfrac{1}{10}\\).",
"hints": ["Multiply numerators and denominators.", "Simplify 6/60 to lowest terms."],
"source": "Maris Stella 2023 P5 Weighted Assessment 1 Q7",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 1/10. Fraction answer, so rendered as MCQ."
},
{
"n": 8,
"type_id": 1,
"question": "17 identical chocolate bars were shared equally among 20 students. What fraction of a chocolate bar did each student get?",
"answer0": "\\(\\dfrac{17}{20}\\)",
"answer1": "\\(\\dfrac{20}{17}\\)",
"answer2": "\\(\\dfrac{17}{37}\\)",
"answer3": "\\(\\dfrac{3}{20}\\)",
"correct_answer": 0,
"skill_id": 157,
"difficulty_id": 1,
"explanation": "Sharing 17 bars equally among 20 students gives each student 17 ÷ 20 = \\(\\dfrac{17}{20}\\) of a bar. As a decimal this is 0.85.",
"hints": ["Sharing means divide: 17 ÷ 20.", "Write the division as a fraction, numerator over denominator."],
"source": "Maris Stella 2023 P5 Weighted Assessment 1 Q8",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Original part (a) fraction 17/20, part (b) decimal 0.85. Modelled as MCQ on the fraction (a) since FIB cannot hold fractions; decimal 0.85 noted in explanation."
},
{
"n": 9,
"type_id": 2,
"question": "\\(\\dfrac{[?]}{9} \\times \\dfrac{3}{4} = \\dfrac{5}{12}\\)
What is the missing number in the box?",
"answer0": "5",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 161,
"difficulty_id": 2,
"explanation": "Let the box be n. \\(\\dfrac{n}{9} \\times \\dfrac{3}{4} = \\dfrac{3n}{36} = \\dfrac{n}{12}\\). Set \\(\\dfrac{n}{12} = \\dfrac{5}{12}\\), so n = 5. Answer: 5.",
"hints": ["Multiply the left side, keeping the box as n.", "Compare with 5/12 to find n."],
"source": "Maris Stella 2023 P5 Weighted Assessment 1 Q9",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 5. The missing number is a whole number, so FIB with one numeric blank."
},
{
"n": 10,
"type_id": 2,
"question": "(a) Use the digits 3, 5, 7, 0 and 8 to form the greatest 5-digit odd number. [?]
(b) Find the value of 9 ÷ 8. Express your answer as a decimal. [?]",
"answer0": "87503",
"answer1": "1.125",
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 149,
"difficulty_id": 2,
"explanation": "(a) For the greatest number, arrange digits in descending order but keep an odd digit in the ones place. Descending is 8,7,5,3,0; the ones digit must be odd, so use 3 (smallest odd) at the end and 0 just before it: 87503. (b) 9 ÷ 8 = 1.125. Answers: (a) 87503, (b) 1.125.",
"hints": ["For the largest odd number, put big digits first but end with an odd digit.", "For 9 ÷ 8, divide and continue past the decimal point."],
"source": "Maris Stella 2023 P5 Weighted Assessment 1 Q10",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: (a) 87503, (b) 1.125. Both answers are integer/decimal, so FIB with two blanks. Digit cards shown as text in stem (no figure needed)."
},
{
"n": 11,
"type_id": 1,
"question": "Shufen drank \\(\\dfrac{5}{6}\\) ℓ of water each day. How much water does Shufen drink in a week? Give your answer in its simplest form.",
"answer0": "\\(5\\dfrac{5}{6}\\) ℓ",
"answer1": "\\(5\\dfrac{1}{6}\\) ℓ",
"answer2": "\\(\\dfrac{35}{6}\\) ℓ",
"answer3": "\\(6\\dfrac{1}{6}\\) ℓ",
"correct_answer": 0,
"skill_id": 163,
"difficulty_id": 2,
"explanation": "One week = 7 days. \\(\\dfrac{5}{6} \\times 7 = \\dfrac{35}{6} = 5\\dfrac{5}{6}\\) ℓ. Answer: \\(5\\dfrac{5}{6}\\) ℓ.",
"hints": ["A week has 7 days.", "Multiply 5/6 by 7, then write as a mixed number."],
"source": "Maris Stella 2023 P5 Weighted Assessment 1 Q11",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 5 5/6 ℓ. Mixed-number answer, so rendered as MCQ. Note option 2 (35/6) is the unsimplified improper form of the correct value; correct option asks for simplest (mixed) form."
},
{
"n": 12,
"type_id": 2,
"question": "Grace and Abigail were having a race. Grace completed the race 10 minutes faster than Abigail. The total time they took to complete the race is 64 minutes. How much time did Abigail take to complete the race? [?]",
"answer0": "37",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 2,
"explanation": "Total = 64 min. Remove the 10 min difference: 64 - 10 = 54; each (the faster pair) = 54 ÷ 2 = 27, which is Grace's time. Abigail = 27 + 10 = 37 min. (Check: 27 + 37 = 64.) Answer: 37 min.",
"hints": ["Subtract the 10-minute difference from the total, then halve.", "Abigail is the slower one, so add the 10 minutes back."],
"source": "Maris Stella 2023 P5 Weighted Assessment 1 Q12",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 37 min. Unit (min) stated in the answer line."
},
{
"n": 13,
"type_id": 2,
"question": "Alice has some pieces of $10 and $50 notes. She has 6 more $10 notes than $50 notes. The total value of these notes is $660. How many $50 notes does Alice have? [?]",
"answer0": "10",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 3,
"explanation": "The 6 extra $10 notes are worth 6 x $10 = $60. Remove them: $660 - $60 = $600. The rest pairs as one $10 note with one $50 note: 1 set = $50 + $10 = $60. Number of sets = $600 ÷ $60 = 10. So Alice has 10 $50 notes (and 16 $10 notes). Check: 10 x $50 + 16 x $10 = $500 + $160 = $660. Answer: 10.",
"hints": ["Set aside the value of the 6 extra $10 notes first.", "Group the rest into equal sets of one $10 and one $50."],
"source": "Maris Stella 2023 P5 Weighted Assessment 1 Q13",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key working gives 10 sets (i.e. 10 $50 notes). The key's last line '$600÷60=$10' is the number of sets (10), which equals the count of $50 notes; final answer = 10."
},
{
"n": 14,
"type_id": 2,
"question": "At first, Benjamin had 18 marbles and Dominic had 6 times as many marbles as Benjamin. After they each received an equal number of marbles from their uncle, Dominic had 3 times as many marbles as Benjamin. How many marbles did Benjamin have in the end? [?]",
"answer0": "45",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 3,
"explanation": "At first Benjamin = 18, Dominic = 6 x 18 = 108. The difference (108 - 18 = 90) stays the same since both get the same amount. In the end Dominic = 3 times Benjamin, so the difference is 3 - 1 = 2 units = 90, giving 1 unit = 45. Benjamin (1 unit) had 45 marbles in the end. Answer: 45.",
"hints": ["The difference between them never changes when both receive equally.", "End ratio 3:1 means the difference is 2 units; 2 units = the unchanged difference."],
"source": "Maris Stella 2023 P5 Weighted Assessment 1 Q14",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 45."
},
{
"n": 15,
"type_id": 2,
"question": "Edward scored a total of 18 points for attempting 15 questions in a quiz. For every correct answer, he got 2 points. For every wrong answer, he lost 2 points. How many questions did he answer correctly? [?]",
"answer0": "12",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 152,
"difficulty_id": 3,
"explanation": "If all 15 were correct: 15 x 2 = 30 points. He actually scored 18, a shortfall of 30 - 18 = 12 points. Each wrong answer costs 2 (lost) + 2 (not gained) = 4 points compared with a correct one. Wrong = 12 ÷ 4 = 3, so correct = 15 - 3 = 12. Check: 12 x 2 - 3 x 2 = 24 - 6 = 18. Answer: 12.",
"hints": ["Suppose all answers were correct and find the max score.", "Each wrong answer changes the score by 4 points compared to a correct one."],
"source": "Maris Stella 2023 P5 Weighted Assessment 1 Q15",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 12."
}
]
}