{ "paper": { "school": "Pei Hwa", "year": 2023, "level": "P4", "label": "Weighted Assessment 2", "source_prefix": "Pei Hwa 2023 P4 Weighted Assessment 2", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 1, "question": "Figures P, Q, R and S are each made up of 8 identical triangles that form 4 squares.
Which of these figures has only 2 lines of symmetry?", "answer0": "P", "answer1": "Q", "answer2": "R", "answer3": "S", "correct_answer": 0, "skill_id": 144, "difficulty_id": 3, "explanation": "Examine each figure for lines of symmetry. Figure P has exactly 2 lines of symmetry. Q, R and S have a different number (1 or 4). The answer is P.", "hints": ["A line of symmetry divides a figure into two mirror-image halves.", "A square can have up to 4 lines of symmetry; count only the ones that match the triangle shading.", "The figure with exactly 2 matching lines is the answer."], "source": "Pei Hwa 2023 P4 Weighted Assessment 2 Q1", "image_needed": true, "image_options": false, "image_file": "q1.png", "image_page": 1, "image_bbox": [0.18, 0.50, 0.88, 0.65], "image_loc": "four shaded square figures P, Q, R, S in a row below the question", "notes": "Key: option 1 (P)." }, { "n": 2, "type_id": 1, "question": "Which of the following is another way to name ∠a?", "answer0": "∠TSQ", "answer1": "∠RST", "answer2": "∠STU", "answer3": "∠RTS", "correct_answer": 1, "skill_id": 139, "difficulty_id": 2, "explanation": "∠a is the angle at vertex S formed by the arms SR and ST. Naming the angle with the vertex in the middle gives ∠RST (or ∠TSR). The answer is ∠RST.", "hints": ["The middle letter of a 3-letter angle name is always the vertex.", "∠a is at vertex S, so S must be the middle letter.", "Its two arms go to R and T, giving ∠RST."], "source": "Pei Hwa 2023 P4 Weighted Assessment 2 Q2", "image_needed": true, "image_options": false, "image_file": "q2.png", "image_page": 2, "image_bbox": [0.18, 0.15, 0.50, 0.26], "image_loc": "hexagon-like figure with vertices U, P, T, Q, S, R and angle a marked at S", "notes": "Key: option 2 (∠RST)." }, { "n": 3, "type_id": 1, "question": "Which of the following statements are true about a square?
A. It has 4 right angles.
B. It has 2 pairs of parallel lines.
C. Its opposite sides are equal.", "answer0": "A and B only", "answer1": "A and C only", "answer2": "B and C only", "answer3": "A, B and C", "correct_answer": 3, "skill_id": 143, "difficulty_id": 1, "explanation": "A square has 4 right angles (A true), 2 pairs of parallel sides (B true) and equal opposite sides (C true). All three statements are correct, so the answer is A, B and C.", "hints": ["Recall the properties of a square.", "Check each statement against what you know about a square.", "All three statements are true of a square."], "source": "Pei Hwa 2023 P4 Weighted Assessment 2 Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: option 4 (A, B and C)." }, { "n": 4, "type_id": 1, "question": "Tristan was standing at point P, facing South. He made an anti-clockwise turn and faced North-West.
How many degrees did he turn?", "answer0": "135°", "answer1": "180°", "answer2": "225°", "answer3": "270°", "correct_answer": 2, "skill_id": 142, "difficulty_id": 2, "explanation": "Turning anti-clockwise from South: South → South-East → East → North-East → North → North-West is 5 steps of 45° each. 5 × 45° = 225°. The answer is 225°.", "hints": ["Each step on the 8-point compass is 45°.", "Anti-clockwise from South passes through SE, E, NE, N, then NW.", "Count 5 steps: 5 × 45° = 225°."], "source": "Pei Hwa 2023 P4 Weighted Assessment 2 Q4", "image_needed": true, "image_options": false, "image_file": "q4.png", "image_page": 2, "image_bbox": [0.55, 0.66, 0.74, 0.83], "image_loc": "compass cross showing N at top with point P at centre, to the right of the options", "notes": "Key: option 3 (225°)." }, { "n": 5, "type_id": 1, "question": "Figure AEFD is made up of rectangle P and square Q.
Which side has the same length as EF?", "answer0": "DF", "answer1": "DC", "answer2": "AD", "answer3": "AB", "correct_answer": 2, "skill_id": 143, "difficulty_id": 2, "explanation": "AEFD is a rectangle so its two shorter vertical sides AD and EF are equal in length. EF is the right side and AD is the left side of the big rectangle, so EF = AD. The answer is AD.", "hints": ["AEFD is a rectangle; opposite sides of a rectangle are equal.", "EF is the right vertical side of the whole figure.", "The opposite vertical side is AD, so EF = AD."], "source": "Pei Hwa 2023 P4 Weighted Assessment 2 Q5", "image_needed": true, "image_options": false, "image_file": "q5.png", "image_page": 3, "image_bbox": [0.38, 0.18, 0.78, 0.30], "image_loc": "rectangle AEFD divided into rectangle P and square Q, vertices A B E top, D C F bottom", "notes": "Key: option 3 (AD)." }, { "n": 6, "type_id": 1, "question": "Four letters T, H, N, S are shown on a square grid.
How many of these letters have more than 1 line of symmetry?", "answer0": "1", "answer1": "2", "answer2": "3", "answer3": "4", "correct_answer": 0, "skill_id": 144, "difficulty_id": 2, "explanation": "T has 1 line of symmetry (vertical). H has 2 lines (vertical and horizontal). N has none. S has none. Only H has more than 1 line of symmetry, so the count is 1.", "hints": ["A letter with more than 1 line of symmetry needs at least 2 mirror lines.", "T has only a vertical line; N and S have none.", "Only H has both a vertical and a horizontal line, so the answer is 1."], "source": "Pei Hwa 2023 P4 Weighted Assessment 2 Q6", "image_needed": true, "image_options": false, "image_file": "q6.png", "image_page": 3, "image_bbox": [0.20, 0.42, 0.78, 0.58], "image_loc": "square grid showing the letters T, H, N, S drawn in thick lines", "notes": "Key: option 1 (only H qualifies, count = 1)." }, { "n": 7, "type_id": 0, "question": "Name two angles that measure 40°.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 140, "difficulty_id": 2, "explanation": "Reading the protractor, the two rays that each make a 40° angle with a base ray give angles ∠QPR and ∠TPS, both measuring 40°.", "hints": ["Read the protractor scale carefully for each ray.", "Look for two separate angles that each measure 40°.", "The answers are ∠QPR and ∠TPS."], "source": "Pei Hwa 2023 P4 Weighted Assessment 2 Q7", "image_needed": true, "image_options": false, "image_file": "q7.png", "image_page": 4, "image_bbox": [0.22, 0.24, 0.80, 0.46], "image_loc": "protractor with rays T, S, Q, R from centre point P", "notes": "Answer (key): QPR and TPS — both measure 40°. type_id 0 because answer is two angle names that depend on reading the protractor figure; grading by exact text match is fragile." }, { "n": 8, "type_id": 2, "question": "PQRS is a rectangle.
a) Measure and write down the size of ∠a.
∠a = [?]°
b) Find ∠b.
∠b = [?]°", "answer0": "47", "answer1": "24", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 197, "difficulty_id": 2, "explanation": "a) Measuring ∠a at vertex Q with a protractor gives 47°. b) At vertex R the corner of the rectangle is 90°. The diagonal makes a 66° angle there, so ∠b = 90° − 66° = 24°.", "hints": ["For (a), line up the protractor on ∠a at Q and read the scale.", "For (b), the corner angle of the rectangle at R is 90°.", "∠b = 90° − 66° = 24°."], "source": "Pei Hwa 2023 P4 Weighted Assessment 2 Q8", "image_needed": true, "image_options": false, "image_file": "q8.png", "image_page": 4, "image_bbox": [0.28, 0.55, 0.55, 0.82], "image_loc": "rectangle PQRS with a diagonal, angle a at Q, 66° and angle b at R", "notes": "Key: a) 47° b) 24°." }, { "n": 9, "type_id": 0, "question": "AB is the line of symmetry for a symmetric figure.
Complete the symmetric figure.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 145, "difficulty_id": 2, "explanation": "Reflect every part of the given shape across the diagonal line of symmetry AB. Each drawn segment on one side has a mirror-image segment at the same perpendicular distance on the other side, completing the symmetric figure.", "hints": ["Each point reflects to the same perpendicular distance on the other side of AB.", "Reflect the shape across the diagonal line AB.", "The completed figure is symmetric about AB."], "source": "Pei Hwa 2023 P4 Weighted Assessment 2 Q9", "image_needed": true, "image_options": false, "image_file": "q9.png", "image_page": 5, "image_bbox": [0.20, 0.13, 0.70, 0.46], "image_loc": "square grid with partial figure and dashed diagonal line of symmetry AB", "notes": "Draw/complete task — no value answer; type_id 0 (skipped on insert). Answer is the reflected figure shown in the key." }, { "n": 10, "type_id": 0, "question": "The square grid shows line CD and points E, F, G, H, I, J, K, L and M.
a) Which point E, F, G or H when joined to C forms an angle of 75°? Draw the line to the correct point in the square grid.
b) Which point L, K, J, I or M when joined to D forms an angle of 135°? Draw the line to the correct point in the square grid.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 140, "difficulty_id": 2, "explanation": "Use the grid spacings to judge each angle against line CD. a) Joining C to point H gives an angle of 75°. b) Joining D to point K gives an angle of 135° (shown as the line to K in the answer key).", "hints": ["Measure the angle each candidate line makes with the vertical line CD.", "For (a) test E, F, G, H; for (b) test I, J, K, L, M.", "The key draws C–H (75°) and D–K (135°)."], "source": "Pei Hwa 2023 P4 Weighted Assessment 2 Q10", "image_needed": true, "image_options": false, "image_file": "q10.png", "image_page": 5, "image_bbox": [0.20, 0.50, 0.78, 0.74], "image_loc": "square grid with vertical line CD and labelled points E,F,G,H,I,J,K,L,M", "notes": "Draw-the-line task; type_id 0 (skipped on insert). Key marks 135° line to K; the 75° line drawn from C." }, { "n": 11, "type_id": 0, "question": "JN is the line of symmetry for a symmetric figure.
Complete the symmetric figure by shading 2 more squares.", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 145, "difficulty_id": 2, "explanation": "Reflect the existing shaded squares across the horizontal line of symmetry JN. The 2 squares whose mirror images are not yet shaded are the ones to shade, making the pattern symmetric about JN.", "hints": ["Each shaded square should have a mirror-image shaded square across JN.", "Find shaded squares whose reflections are still blank.", "Shade those 2 squares to complete the symmetry."], "source": "Pei Hwa 2023 P4 Weighted Assessment 2 Q11", "image_needed": true, "image_options": false, "image_file": "q11.png", "image_page": 6, "image_bbox": [0.18, 0.18, 0.72, 0.42], "image_loc": "grid with shaded squares and horizontal line of symmetry from J to N", "notes": "Shading task — no value answer; type_id 0 (skipped on insert)." }, { "n": 12, "type_id": 2, "question": "A rectangular piece of paper is folded twice in the exact same way.
Find ∠a.
∠a = [?]°", "answer0": "12", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 197, "difficulty_id": 3, "explanation": "The corner of the rectangle is 90°. The remaining angle after the 54° fold is 90° − 54° = 36°. Folding twice in the same way divides this equally into 3 parts: 36° ÷ 3 = 12°. So ∠a = 12°.", "hints": ["Start from the 90° corner of the rectangle.", "90° − 54° = 36° is shared by the equal folds.", "Two folds make 3 equal angles: 36° ÷ 3 = 12°."], "source": "Pei Hwa 2023 P4 Weighted Assessment 2 Q12", "image_needed": true, "image_options": false, "image_file": "q12.png", "image_page": 6, "image_bbox": [0.18, 0.58, 0.82, 0.82], "image_loc": "rectangle with fold lines from bottom-left corner, 54° and angle a marked", "notes": "Key working: 90° − 54° = 36°; 36° ÷ 3 = 12°." }, { "n": 13, "type_id": 2, "question": "Some of the places in a school are shown in the square grid.
In the square grid,
a) [?] is north-west of Koi pond.
b) Foyer is south-east of [?].", "answer0": "Music Room", "answer1": "Koi Pond", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 142, "difficulty_id": 2, "explanation": "Using the compass (North up): a) The Music Room sits up and to the left of the Koi Pond, so the Music Room is north-west of the Koi Pond. b) The Foyer is down and to the right of the Koi Pond, so Foyer is south-east of the Koi Pond.", "hints": ["North-west is up-and-left; south-east is down-and-right on the grid.", "For (a) look up-left of the Koi Pond — the Music Room.", "For (b) the place up-left of the Foyer is the Koi Pond."], "source": "Pei Hwa 2023 P4 Weighted Assessment 2 Q13", "image_needed": true, "image_options": false, "image_file": "q13.png", "image_page": 7, "image_bbox": [0.28, 0.16, 0.72, 0.42], "image_loc": "square grid of school places (Music Room, Back gate, Koi Pond, Bookshop, Dental Clinic, Foyer, Office, Canteen) with compass N", "notes": "Key: a) Music room b) Koi pond." }, { "n": 14, "type_id": 0, "question": "The square grid shows a figure NOPQ and line NR.
a) Each statement is true or false: 'NOPQ has only 1 pair of parallel lines.', 'NOPQ has 4 equal sides.', 'NOPQ is a square.'
b) PS and RS are sides of a 4-sided figure PQRS where PQ = RS and QR = PS. Complete figure PQRS by drawing 2 more lines and label 'S'.
c) From the figure in (b): PQ (is / is not) parallel to RS; QR (is / is not) parallel to PS; since PS and RS are (equal / not equal) sides, PQRS is a (square / rectangle).", "answer0": null, "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 199, "difficulty_id": 3, "explanation": "a) NOPQ is a tilted square (a rhombus drawn on the grid): it has 2 pairs of parallel lines so 'only 1 pair' is False; it has 4 equal sides so True; and it is a square so True. b) Using PQ = RS and QR = PS, complete the parallelogram PQRS by drawing the two missing sides to locate S. c) PQ is parallel to RS; QR is parallel to PS; since PS and RS are not equal, PQRS is a rectangle.", "hints": ["For (a) check parallel sides, equal sides and right angles of NOPQ.", "For (b) opposite sides equal — draw the two missing sides to find S.", "For (c) a 4-sided figure with both pairs parallel but unequal adjacent sides is a rectangle."], "source": "Pei Hwa 2023 P4 Weighted Assessment 2 Q14", "image_needed": true, "image_options": false, "image_file": "q14.png", "image_page": 8, "image_bbox": [0.18, 0.24, 0.82, 0.58], "image_loc": "square grid showing tilted square figure NOPQ and line NR", "notes": "Multi-part with true/false table, draw-the-figure and circle-the-word — interactive, so type_id 0 (skipped on insert). Key answers: a) False, True, True; c) is, is, not equal, rectangle." } ] }