{
"paper": {
"school": "Nanyang Primary School",
"year": 2024,
"level": "P4",
"label": "Term 1 Review",
"source_prefix": "Nanyang 2024 P4 Term 1 Review",
"has_answer_key": true
},
"questions": [
{
"n": 1,
"type_id": 1,
"question": "Which of the following is equal to $$367 \\times 29$$?",
"answer0": "4037",
"answer1": "8983",
"answer2": "10 643",
"answer3": "17 243",
"correct_answer": 2,
"skill_id": 116,
"difficulty_id": 2,
"explanation": "Multiply using the standard algorithm. $$367 \\times 9 = 3303$$ and $$367 \\times 20 = 7340$$. Adding: $$3303 + 7340 = 10643$$. So $$367 \\times 29 = 10643$$.",
"hints": ["Split 29 into 20 + 9 and multiply 367 by each part.", "$$367 \\times 9 = 3303$$; $$367 \\times 20 = 7340$$; add the two products."],
"source": "Nanyang 2024 P4 Term 1 Review Q1",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option (3) = 10 643."
},
{
"n": 2,
"type_id": 1,
"question": "Round $$80\\,914$$ to the nearest thousand.",
"answer0": "80 904",
"answer1": "80 910",
"answer2": "80 900",
"answer3": "81 000",
"correct_answer": 3,
"skill_id": 109,
"difficulty_id": 1,
"explanation": "To round to the nearest thousand, look at the hundreds digit. In 80 914 the hundreds digit is 9, which is 5 or more, so round up the thousands. $$80\\,914 \\approx 81\\,000$$.",
"hints": ["The thousands digit is 0 (in 80 914).", "The hundreds digit is 9, which is 5 or more, so round the thousands up."],
"source": "Nanyang 2024 P4 Term 1 Review Q2",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option (4) = 81 000."
},
{
"n": 3,
"type_id": 1,
"question": "A pattern is formed using letters M, T, A and H. The first 15 letters of the pattern are
M, M, T, A, H, M, M, T, A, H, M, M, T, A, H ......
Which letter is in the 54th position?",
"answer0": "A",
"answer1": "H",
"answer2": "M",
"answer3": "T",
"correct_answer": 0,
"skill_id": 108,
"difficulty_id": 2,
"explanation": "The repeating unit is M, M, T, A, H, which has 5 letters. $$54 \\div 5 = 10$$ remainder $$4$$. The 4th letter of the unit (M, M, T, A, H) is A. So the 54th letter is A.",
"hints": ["Find the repeating block: M, M, T, A, H (5 letters).", "Divide 54 by 5: $$54 \\div 5 = 10$$ R $$4$$, then take the 4th letter of the block."],
"source": "Nanyang 2024 P4 Term 1 Review Q3",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: option (1) = A. Repeated unit has 5 letters; 54 div 5 = 10 R4 -> 4th letter A."
},
{
"n": 4,
"type_id": 2,
"question": "Find the value of $$7120 \\div 4$$.",
"answer0": "1780",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 117,
"difficulty_id": 1,
"explanation": "Divide using long division. $$71 \\div 4 = 17$$ R $$3$$; bring down 2 to get 32, $$32 \\div 4 = 8$$; bring down 0, $$0 \\div 4 = 0$$. So $$7120 \\div 4 = 1780$$.",
"hints": ["Use long division, dividing one digit at a time.", "$$7 \\div 4 = 1$$ R $$3$$, $$31 \\div 4 = 7$$ R $$3$$, $$32 \\div 4 = 8$$, $$0 \\div 4 = 0$$."],
"source": "Nanyang 2024 P4 Term 1 Review Q4",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 1780."
},
{
"n": 5,
"type_id": 2,
"question": "List all the common factors of 30 and 36.
[?], [?], [?], [?]",
"answer0": "1",
"answer1": "2",
"answer2": "3",
"answer3": "6",
"correct_answer": null,
"skill_id": 113,
"difficulty_id": 2,
"explanation": "Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30. Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36. The factors common to both are 1, 2, 3 and 6.",
"hints": ["List the factors of 30 and the factors of 36 separately.", "Pick the numbers that appear in both lists."],
"source": "Nanyang 2024 P4 Term 1 Review Q5",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 1, 2, 3 and 6. Four ordered blanks, one per common factor (smallest to largest)."
},
{
"n": 6,
"type_id": 2,
"question": "What is the first common multiple of 4 and 6?",
"answer0": "12",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 115,
"difficulty_id": 1,
"explanation": "Multiples of 4: 4, 8, 12, 16, ... Multiples of 6: 6, 12, 18, ... The smallest number in both lists is 12.",
"hints": ["List the multiples of 4 and of 6.", "The first common multiple is the smallest number that appears in both lists."],
"source": "Nanyang 2024 P4 Term 1 Review Q6",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 12."
},
{
"n": 7,
"type_id": 2,
"question": "Use all the 5 digits to form the smallest 5-digit even number.",
"answer0": "10274",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 105,
"difficulty_id": 2,
"explanation": "Digits available: 2, 1, 0, 4, 7. For the smallest number arrange digits in ascending order, but 0 cannot be in the ten-thousands place. For an even number the ones digit must be even. Smallest arrangement keeping it even: 1 (ten thousands), 0 (thousands), 2 (hundreds), 7 (tens), 4 (ones) = 10 274.",
"hints": ["The smallest digit (not 0) goes in the ten-thousands place; 0 cannot lead.", "The ones digit must be even (0, 2 or 4) to make the number even."],
"source": "Nanyang 2024 P4 Term 1 Review Q7",
"image_needed": true,
"image_options": false,
"image_file": "q7.png",
"image_page": 4,
"image_bbox": [0.20, 0.10, 0.80, 0.20],
"image_loc": "five boxed digits (2, 1, 0, 4, 7) near top of page, below the question",
"notes": "Answer key: 10 274. Digit 0 cannot be in ten-thousands place; ones digit must be even. Figure shows the five digit cards 2 1 0 4 7."
},
{
"n": 8,
"type_id": 2,
"question": "Sharon has 4 crayons. The colours of the crayons are red, blue, green and yellow. She needs to choose 2 different colours for her drawing. How many different ways can she choose the 2 different crayons?",
"answer0": "6",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 118,
"difficulty_id": 2,
"explanation": "List the pairs systematically. Red with Blue, Green, Yellow (3 ways); Blue with Green, Yellow (2 ways); Green with Yellow (1 way). Total $$3 + 2 + 1 = 6$$ different ways.",
"hints": ["List pairs systematically so you don't repeat: RB, RG, RY, BG, BY, GY.", "Count once each: $$3 + 2 + 1 = 6$$."],
"source": "Nanyang 2024 P4 Term 1 Review Q8",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 6 different ways (systematic listing 3+2+1=6)."
},
{
"n": 9,
"type_id": 2,
"question": "Amelia, Brenda and Charlotte sold a total of 4678 funfair tickets. Amelia sold twice as many funfair tickets as Brenda. Charlotte sold 187 less funfair tickets than Amelia. How many funfair tickets did Charlotte sell?",
"answer0": "1759",
"answer1": null,
"answer2": null,
"answer3": null,
"correct_answer": null,
"skill_id": 118,
"difficulty_id": 3,
"explanation": "Let Brenda = 1 unit, Amelia = 2 units, Charlotte = 2 units minus 187. Total = 5 units minus 187 = 4678, so 5 units = $$4678 + 187 = 4865$$. One unit = $$4865 \\div 5 = 973$$ (Brenda). Amelia = $$973 \\times 2 = 1946$$. Charlotte = $$1946 - 187 = 1759$$.",
"hints": ["Brenda = 1 unit, Amelia = 2 units, Charlotte = 2 units - 187; total = 5 units - 187.", "Add 187 to the total first: $$4678 + 187 = 4865 = 5$$ units, so 1 unit = 973."],
"source": "Nanyang 2024 P4 Term 1 Review Q9",
"image_needed": false,
"image_options": false,
"image_file": null,
"notes": "Answer key: 1759. 3-step word problem (units/model method)."
}
]
}