{ "paper": { "school": "Henry Park", "year": 2024, "level": "P4", "label": "Term 1 Review", "source_prefix": "Henry Park 2024 P4 Term 1 Review", "has_answer_key": true }, "questions": [ { "n": 1, "type_id": 2, "question": "(a) Write forty-six thousand, seven hundred and four in numerals.
(b) 81 075 = 80 000 + [?] + 70 + 5", "answer0": "46704", "answer1": "1000", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 105, "difficulty_id": 1, "explanation": "(a) Forty-six thousand = 46 000, seven hundred = 700, four = 4, giving 46 704.
(b) 81 075 = 80 000 + 1000 + 70 + 5, so the missing part is 1000.", "hints": [ "Build the number place value by place value: ten-thousands, thousands, hundreds, tens, ones.", "In (b), the thousands place of 81 075 is 1, so the missing value is 1000." ], "source": "Henry Park 2024 P4 Term 1 Review Q1", "image_needed": false, "image_options": false, "image_file": null, "notes": "Two-part FIB: (a) number notation, (b) place-value expanded form. Key: a)46704 b)1000." }, { "n": 2, "type_id": 2, "question": "(a) Round 50 185 to the nearest ten.
(b) Round 38 273 to the nearest hundred.", "answer0": "50190", "answer1": "38300", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 109, "difficulty_id": 1, "explanation": "(a) The ones digit of 50 185 is 5, so round up: 50 190.
(b) The tens digit of 38 273 is 7, so round the hundreds up: 38 300.", "hints": [ "To round to the nearest ten, look at the ones digit (5 or more rounds up).", "To round to the nearest hundred, look at the tens digit." ], "source": "Henry Park 2024 P4 Term 1 Review Q2", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: a)50190 b)38300." }, { "n": 3, "type_id": 2, "question": "Write the missing numerator and denominator.
$$\\frac{[?]}{14}$$ = $$\\frac{3}{7}$$ = $$\\frac{9}{[?]}$$", "answer0": "6", "answer1": "21", "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 77, "difficulty_id": 1, "explanation": "$$\\frac{3}{7}$$: multiply numerator and denominator by 2 to get a denominator of 14, so the numerator is 6 ($$\\frac{6}{14}$$). For $$\\frac{9}{[?]}$$, 9 = 3 x 3, so multiply 7 by 3 to get 21 ($$\\frac{9}{21}$$).", "hints": [ "Equivalent fractions are made by multiplying numerator and denominator by the same number.", "14 = 7 x 2, and 9 = 3 x 3." ], "source": "Henry Park 2024 P4 Term 1 Review Q3", "image_needed": false, "image_options": false, "image_file": null, "notes": "Equivalent fractions. Key: a)6 b)21. (a)=numerator over 14, (b)=denominator under 9." }, { "n": 4, "type_id": 2, "question": "Find the value of $$\\frac{2}{3}$$ - $$\\frac{1}{6}$$
Give your answer as a fraction in the simplest form.", "answer0": "1/2", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 121, "difficulty_id": 2, "explanation": "$$\\frac{2}{3}$$ = $$\\frac{4}{6}$$. $$\\frac{4}{6}$$ - $$\\frac{1}{6}$$ = $$\\frac{3}{6}$$ = $$\\frac{1}{2}$$.", "hints": [ "Convert to a common denominator of 6.", "$$\\frac{2}{3}$$ = $$\\frac{4}{6}$$; then subtract and simplify." ], "source": "Henry Park 2024 P4 Term 1 Review Q4", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 2/3 - 1/6 = 4/6 - 1/6 = 3/6 = 1/2." }, { "n": 5, "type_id": 2, "question": "Find the missing number.
67 852, 67 952, [?], 68 152, 68 252, 68 352", "answer0": "68052", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 108, "difficulty_id": 1, "explanation": "The sequence increases by 100 each time: 67 852, 67 952, 68 052, 68 152, ... So the missing number is 68 052.", "hints": [ "Find the difference between consecutive terms.", "Each number goes up by 100." ], "source": "Henry Park 2024 P4 Term 1 Review Q5", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 68052." }, { "n": 6, "type_id": 2, "question": "Arrange the following fractions from the greatest to the smallest.
$$\\frac{5}{12}$$ , $$\\frac{2}{3}$$ , $$\\frac{1}{2}$$", "answer0": "2/3", "answer1": "1/2", "answer2": "5/12", "answer3": null, "correct_answer": null, "skill_id": 79, "difficulty_id": 2, "explanation": "Use a common denominator of 12: $$\\frac{5}{12}$$, $$\\frac{2}{3}$$ = $$\\frac{8}{12}$$, $$\\frac{1}{2}$$ = $$\\frac{6}{12}$$. From greatest to smallest: $$\\frac{8}{12}$$ > $$\\frac{6}{12}$$ > $$\\frac{5}{12}$$, i.e. $$\\frac{2}{3}$$, $$\\frac{1}{2}$$, $$\\frac{5}{12}$$.", "hints": [ "Convert all three fractions to twelfths.", "Then compare the numerators." ], "source": "Henry Park 2024 P4 Term 1 Review Q6", "image_needed": false, "image_options": false, "image_file": null, "notes": "Greatest to smallest order = 2/3, 1/2, 5/12. Key: 2/3, 1/2, 5/12." }, { "n": 7, "type_id": 2, "question": "Find the sum of all the common factors of 18 and 27.", "answer0": "13", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 113, "difficulty_id": 2, "explanation": "Factors of 18: 1, 2, 3, 6, 9, 18. Factors of 27: 1, 3, 9, 27. Common factors: 1, 3, 9. Sum = 1 + 3 + 9 = 13.", "hints": [ "List the factors of each number.", "Find the factors common to both, then add them." ], "source": "Henry Park 2024 P4 Term 1 Review Q7", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key working: common factors 1,3,9 -> 9+3+1=13." }, { "n": 8, "type_id": 2, "question": "Andy placed identical rectangular tiles in a large rectangular frame. What fraction of the frame is not covered by rectangular tiles? Express your answer as a fraction in the simplest form.", "answer0": "1/3", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 120, "difficulty_id": 3, "explanation": "The rectangular frame is divided into equal small squares. Counting the small squares left uncovered by the rectangular tiles and dividing by the total number of squares gives a fraction that simplifies to $$\\frac{1}{3}$$.", "hints": [ "Count the total number of equal parts in the frame.", "Count the parts not covered by tiles, then simplify the fraction." ], "source": "Henry Park 2024 P4 Term 1 Review Q8", "image_needed": true, "image_options": false, "image_file": "q8.png", "image_page": 4, "image_bbox": [ 0.37, 0.46, 0.55, 0.62 ], "image_loc": "grid of rectangular tiles in a frame, centre of page below the question text", "notes": "Fraction of a set/grid. Key: 1/3. Figure is a small grid showing the tiled frame; crop the grid only." }, { "n": 9, "type_id": 2, "question": "There were 1476 adults and children at a stadium. There were 874 adults and 28 more boys than girls. How many girls were at the stadium?", "answer0": "287", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "Children = 1476 - 874 = 602. Boys + girls = 602 and boys = girls + 28, so 2 x girls = 602 - 28 = 574. Girls = 574 / 2 = 287.", "hints": [ "First find the number of children by subtracting the adults.", "Remove the 28 extra boys, then halve to find the girls." ], "source": "Henry Park 2024 P4 Term 1 Review Q9", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 1476-874=602; 602-28=574; 574/2=287." }, { "n": 10, "type_id": 2, "question": "Mrs Koh paid $285 for 1 bag and 5 purses. The bag cost $57 more than a purse. How much did she pay for each purse?", "answer0": "$38", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "Remove the bag's extra cost: 285 - 57 = 228, which is the cost of 6 purses (1 bag now equals 1 purse). Each purse = 228 / 6 = $38.", "hints": [ "Subtract the $57 difference so the bag equals one purse.", "Then divide the remaining amount by 6 (5 purses + 1 bag-as-purse)." ], "source": "Henry Park 2024 P4 Term 1 Review Q10", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 285-57=228; 228/6=38." }, { "n": 11, "type_id": 2, "question": "Mr Tan bought 5 chairs and 9 tables for his office. Each chair costs $354. He paid a total of $5874. How much did he pay in total for the tables?", "answer0": "$4104", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 2, "explanation": "Cost of chairs = 354 x 5 = $1770. Cost of tables = 5874 - 1770 = $4104.", "hints": [ "Find the total cost of the 5 chairs first.", "Subtract that from the overall total to get the cost of the tables." ], "source": "Henry Park 2024 P4 Term 1 Review Q11", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 354x5=1770; 5874-1770=4104." }, { "n": 12, "type_id": 2, "question": "Sherry bought the same amount of flour and sugar at first. After using 720 g of flour and 320 g of sugar, she had 6 times as much sugar as flour left. Find the amount of flour that she bought.", "answer0": "800 g", "answer1": null, "answer2": null, "answer3": null, "correct_answer": null, "skill_id": 118, "difficulty_id": 3, "explanation": "She used 720 - 320 = 400 g more flour than sugar, so the sugar left is 400 g more than the flour left. Since sugar left is 6 times the flour left, the 5 extra units = 400 g, so 1 unit (flour left) = 400 / 5 = 80 g. Original flour = flour left + flour used = 80 + 720 = 800 g.", "hints": [ "They started equal, so the difference in what is left equals the difference used: 720 - 320 = 400 g.", "Sugar left = 6 units, flour left = 1 unit; the 5-unit difference is 400 g, so 1 unit = 80 g, then add back the 720 g used." ], "source": "Henry Park 2024 P4 Term 1 Review Q12", "image_needed": false, "image_options": false, "image_file": null, "notes": "Key: 720-320=400; 400/5=80; 720+80=800." } ] }