{ "paper": { "school": "Henry Park", "year": 2025, "level": "P4", "label": "Weighted Assessment 2", "source_prefix": "Henry Park 2025 P4 Weighted Assessment 2", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 2, "question": "(a) What is the size of $$\\angle QRT$$?
(b) Measure $$\\angle x$$ with a protractor.
(a) [?] °
(b) [?] °", "answer0": "135", "answer1": "43", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 140, "difficulty_id": 1, "explanation": "(a) The arm RT lines up with the 135 mark read from the correct scale of the protractor, so $$\\angle QRT = 135°$$. (b) Reading the drawn angle x with a protractor gives $$\\angle x = 43°$$.", "hints": [ "Read the protractor scale that starts from 0 along the base arm.", "Check whether the angle is acute (less than 90°) or obtuse (more than 90°) before reading." ], "source": "Henry Park 2025 P4 Weighted Assessment 2 Q1", "image_needed": true, "image_options": false, "image_file": null, "image_page": 1, "image_bbox": [0.18, 0.46, 0.78, 0.66], "image_loc": "two diagrams: a protractor with arm RT (top), and angle x below it; place both on the question", "notes": "Two real answer blanks (a)=135, (b)=43. Both parts need the figures (protractor reading + angle to measure). The page has two separate figures; bbox spans both. Answer key: a)135 b)43." }, { "n": 2, "type_id": 2, "question": "ABCD is a square. Find $$\\angle CBE$$.
[?] °", "answer0": "27", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 143, "difficulty_id": 2, "explanation": "Each angle of a square is 90°, so $$\\angle ABC = 90°$$. The marked angle ABE is 63°, so $$\\angle CBE = 90° - 63° = 27°$$.", "hints": [ "Every interior angle of a square is a right angle (90°).", "$$\\angle CBE = \\angle ABC - \\angle ABE$$." ], "source": "Henry Park 2025 P4 Weighted Assessment 2 Q2", "image_needed": true, "image_options": false, "image_file": null, "image_page": 2, "image_bbox": [0.28, 0.14, 0.62, 0.36], "image_loc": "square ABCD with point E on side DC and a 63° angle marked at B, upper portion of page", "notes": "Answer key: 90 − 63 = 27°." }, { "n": 3, "type_id": 2, "question": "(a) Round 168.205 to 2 decimal places.
(b) Express $$\\frac{3}{25}$$ as a decimal.
(a) [?]
(b) [?]", "answer0": "168.21", "answer1": "0.12", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 128, "difficulty_id": 1, "explanation": "(a) The digit in the 3rd decimal place is 5, so round the 2nd decimal place up: $$168.205 \\approx 168.21$$. (b) Make the denominator 100: $$\\frac{3}{25} = \\frac{12}{100} = 0.12$$.", "hints": [ "To round to 2 d.p., look at the 3rd decimal digit; 5 or more rounds up.", "$$\\frac{3}{25}$$: multiply top and bottom by 4 to get hundredths." ], "source": "Henry Park 2025 P4 Weighted Assessment 2 Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two real blanks. Answer key: a)168.21 b)0.12." }, { "n": 4, "type_id": 2, "question": "Find the value of $$3.9 + 15.72$$. Round your answer to the nearest tenth.
[?]", "answer0": "19.6", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 129, "difficulty_id": 1, "explanation": "$$3.90 + 15.72 = 19.62$$. The hundredths digit is 2, so it rounds down: $$19.62 \\approx 19.6$$ to the nearest tenth.", "hints": [ "Line up the decimal points and add; write 3.9 as 3.90.", "Nearest tenth means 1 decimal place; look at the hundredths digit." ], "source": "Henry Park 2025 P4 Weighted Assessment 2 Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 15.72 + 3.90 = 19.6." }, { "n": 5, "type_id": 1, "question": "Name the marked angle.", "answer0": "$$\\angle LMN$$", "answer1": "$$\\angle MLN$$", "answer2": "$$\\angle LNO$$", "answer3": "$$\\angle MNO$$", "correct_answer": 0, "skill_id": 139, "difficulty_id": 1, "explanation": "The angle is marked at vertex M, between arms ML and MN, so it is named $$\\angle LMN$$ (vertex letter in the middle).", "hints": [ "When naming an angle with three letters, the vertex letter goes in the middle.", "The marked angle is at the corner M." ], "source": "Henry Park 2025 P4 Weighted Assessment 2 Q5", "image_needed": true, "image_options": false, "image_file": null, "image_page": 3, "image_bbox": [0.22, 0.18, 0.62, 0.36], "image_loc": "quadrilateral-like figure with vertices L, M, N, O and the angle at M marked with an arc", "notes": "Part (a) only. Naming task (word answer) -> made MCQ per spec; key answer = angle LMN (correct_answer index 0). Part (b) of Q5 (draw angle CDE=42 deg) is an interactive construction task -> handled as Q5 part is split; see notes. Original Q5 had a (b) draw-the-angle part which is interactive (no app type); only the answerable naming part is served here." }, { "n": 6, "type_id": 2, "question": "What is the product of 6 ones and 72 hundredths?
[?]", "answer0": "4.32", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 130, "difficulty_id": 2, "explanation": "6 ones = 6 and 72 hundredths = 0.72. The product is $$6 \\times 0.72 = 4.32$$.", "hints": [ "6 ones means the number 6; 72 hundredths means 0.72.", "Product means multiply: $$6 \\times 0.72$$." ], "source": "Henry Park 2025 P4 Weighted Assessment 2 Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 0.72 × 6 = 4.32." }, { "n": 7, "type_id": 2, "question": "Arrange the following in increasing order.
$$4\\frac{3}{4}$$ , 4.90, $$4\\frac{7}{10}$$ , 4.65
[?] , [?] , [?] , [?]
(smallest)", "answer0": "4.65", "answer1": "4 7/10", "answer2": "4 3/4", "answer3": "4.9", "correct_answer": null, "skill_id": 124, "difficulty_id": 2, "explanation": "Convert all to decimals: $$4\\frac{3}{4}=4.75$$, $$4.90$$, $$4\\frac{7}{10}=4.70$$, $$4.65$$. In increasing order: 4.65, 4.70, 4.75, 4.90, i.e. 4.65, $$4\\frac{7}{10}$$, $$4\\frac{3}{4}$$, 4.9.", "hints": [ "Change each fraction to a decimal so all four are easy to compare.", "Smallest goes first; compare the digits after the decimal point." ], "source": "Henry Park 2025 P4 Weighted Assessment 2 Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Ordering task -> FIB, one blank per position, smallest first. Answer key order: 4.65, 4 7/10, 4 3/4, 4.9. Mixed-number answers typed plain as '4 7/10' and '4 3/4'." }, { "n": 8, "type_id": 0, "question": "The square grid shows side PQ and QR of rectangle PQRS. Complete rectangle PQRS by drawing 2 more lines on the grid. Label the rectangle.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 143, "difficulty_id": 2, "explanation": "PQ and QR are two adjacent sides of the rectangle. Draw RS parallel and equal to QP, and SP parallel and equal to RQ, meeting at S so that PQRS is a rectangle. S sits to the upper-left, completing the rectangle PQRS.", "hints": [], "source": "Henry Park 2025 P4 Weighted Assessment 2 Q8", "image_needed": true, "image_options": false, "image_file": null, "image_page": 4, "image_bbox": [0.38, 0.52, 0.62, 0.74], "image_loc": "square grid showing sides PR (R top) and PQ with Q to the right, lower-middle of page", "notes": "Interactive draw-and-label construction (no app question type) -> type_id 0, SKIPPED on insert. Answer key: draw point S to complete rectangle PQRS (S upper-left, diagonal shown)." }, { "n": 9, "type_id": 2, "question": "5 identical bags of flour weigh $$28.15$$ $$kg$$ in total. How much do 8 identical bags of flour weigh?
[?] kg", "answer0": "45.04", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 131, "difficulty_id": 2, "explanation": "1 bag = $$28.15 \\div 5 = 5.63$$ kg. 8 bags = $$5.63 \\times 8 = 45.04$$ kg.", "hints": [ "First find the mass of 1 bag by dividing.", "Then multiply the mass of 1 bag by 8." ], "source": "Henry Park 2025 P4 Weighted Assessment 2 Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 28.15 ÷ 5 = 5.63; 5.63 × 8 = 45.04 kg." }, { "n": 10, "type_id": 2, "question": "WXYZ is a rectangle.
(a) State whether each statement is true or false.
(i) $$\\angle a$$ is a right angle.
(ii) $$\\angle b$$ is an acute angle.
(b) Given that $$\\angle c = \\angle d$$, find $$\\angle c$$.
(a)(i) [?]
(a)(ii) [?]
(b) [?] °", "answer0": "True", "answer1": "False", "answer2": "26", "answer3": null, "correct_answer": null, "skill_id": 197, "difficulty_id": 2, "explanation": "(a)(i) $$\\angle a$$ is the corner of the rectangle at W, which is 90°, so TRUE. (ii) $$\\angle b$$ is larger than a right angle here, so it is not acute: FALSE. (b) At Z the rectangle corner is 90°. The 38° angle and angles c and d together make 90°, so $$\\angle c + \\angle d = 90° - 38° = 52°$$. Since $$\\angle c = \\angle d$$, $$\\angle c = 52° \\div 2 = 26°$$.", "hints": [ "Each corner of a rectangle is a right angle (90°).", "At Z, the three angles (c, d and 38°) add up to the 90° corner; share the remainder equally." ], "source": "Henry Park 2025 P4 Weighted Assessment 2 Q10", "image_needed": true, "image_options": false, "image_file": null, "image_page": 6, "image_bbox": [0.20, 0.18, 0.66, 0.36], "image_loc": "rectangle WXYZ with diagonals/lines from Z marking angles a, b, c, d and 38 degrees, upper portion of page", "notes": "Three real blanks: (a)(i)=True, (a)(ii)=False, (b)=26. Answer key: a) i) True ii) False; b) 90 − 38 = 52, 52 ÷ 2 = 26°." }, { "n": 11, "type_id": 2, "question": "A tailor used $$42.1$$ $$m$$ of fabric on Monday. He used $$28.62$$ $$m$$ more fabric on Monday than on Tuesday.
(a) How many metres of fabric did the tailor use on Tuesday?
(b) How many metres of fabric did he use altogether over the two days?
(a) [?] m
(b) [?] m", "answer0": "13.48", "answer1": "55.58", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 131, "difficulty_id": 2, "explanation": "(a) Tuesday = Monday − 28.62 = $$42.10 - 28.62 = 13.48$$ m. (b) Total = Monday + Tuesday = $$42.10 + 13.48 = 55.58$$ m.", "hints": [ "Monday used 28.62 m MORE than Tuesday, so subtract to get Tuesday's amount.", "Add both days' amounts for the total." ], "source": "Henry Park 2025 P4 Weighted Assessment 2 Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two real blanks. Answer key: a) 42.10 − 28.62 = 13.48 m; b) 42.10 + 13.48 = 55.58 m." }, { "n": 12, "type_id": 2, "question": "James had 3 times as much money as Sally at first. When Mrs Lee gave $7.20 to James and $22.50 to Sally, both James and Sally had the same amount of money.
(a) Find the amount of money Sally had at first.
(b) Find the amount of money James had at first.
(a) $[?]
(b) $[?]", "answer0": "7.65", "answer1": "22.95", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "Let Sally = 1 unit, James = 3 units. After: Sally has 1u + $22.50, James has 3u + $7.20, and they are equal. So 3u + 7.20 = 1u + 22.50, giving 2u = 22.50 − 7.20 = $15.30. (a) Sally at first = 1u = $15.30 ÷ 2 = $7.65. (b) James at first = 3u = $7.65 × 3 = $22.95.", "hints": [ "Let Sally have 1 unit and James 3 units at first.", "Set the after-amounts equal: 3u + 7.20 = 1u + 22.50, then solve for 2 units." ], "source": "Henry Park 2025 P4 Weighted Assessment 2 Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Answer key: 2u = 22.50 − 7.20 = 15.30; a) 1u = 7.65; b) 3u = 22.95." } ] }