Home Past papers Mathematics P5 Mathematics CA1 2021 — Henry Park
P5 Mathematics CA1 2021 — Henry Park
P5
Mathematics
2021
CA1
20 questions
30 marks
Source: Henry Park, 2021
This P5 Mathematics CA1 paper from Henry Park (2021) covers geometry and angles, fractions, patterns and algebra, ratio, area and perimeter and money across 20 questions worth 30 marks. Practise Mathematics the way it's tested at P5 level in Singapore, with step-by-step answers on LearnBuddy.
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Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20
Q1
MCQ
1 mark
What is the value of the digit 8 in the number 282 405?
A. 80
B. 800
C. 8000
D. 80 000
Explanation
In 282 405, the digit 8 is in the ten-thousands place, so its value is 8 × 10 000 = 80 000.
Q2
MCQ
1 mark
Which of the following is not a factor of 36?
A. 6
B. 9
C. 16
D. 18
Explanation
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. 16 is not in this list, so 16 is not a factor of 36.
Q3
MCQ
1 mark
🖼 Visual
Visual context
A horizontal number line marked from 2 on the left to 3 on the right. The segment between 2 and 3 is divided into 8 equal small intervals by tick marks. An upward arrow labelled 'A' points to the tick that is 5 small intervals to the right of 2 (i.e. 3 small intervals to the left of 3).
In the number line, what is the mixed number represented by A?
A. 2 1/4
B. 2 3/4
C. 2 5/7
D. 2 5/8
Explanation
The interval from 2 to 3 is divided into 8 equal parts. The arrow A is positioned 5 small divisions to the right of 2, so A represents 2 + 5/8 = 2 5/8.
Q4
MCQ
1 mark
Which one of the following fractions is the biggest?
A. 3/11
B. 3/8
C. 3/7
D. 3/5
Explanation
When fractions have the same numerator, the fraction with the smallest denominator is the largest. Among denominators 11, 8, 7 and 5, the smallest is 5, so 3/5 is the biggest.
Q5
MCQ
1 mark
🖼 Visual
Visual context
A composite figure made of two triangles ABD and BCD sharing the side BD. Vertex A is at the top left and vertex D directly below it (right angles are marked at A and at D, indicating AD is vertical). Vertex B is at the top, to the right of A, joined to A by a horizontal segment and to D by a slanting segment. Vertex C is on the same horizontal line as D, to the right of D. Sides AB and DC are horizontal; AD is vertical; BC is slanting.
The figure below is made up of two triangles, ABD and BCD. Given that the height of triangle BCD is AD, find its base.
A. AB
B. BC
C. BD
D. DC
Explanation
AD is the vertical side on the left, marked perpendicular to DC. For AD to be the height of triangle BCD, the base must be perpendicular to AD. The side DC is horizontal and perpendicular to AD, so the base of triangle BCD is DC.
Q6
MCQ
1 mark
🖼 Visual
Visual context
A shaded triangle leaning to the right. Its longer slanting top side is labelled 17 cm. Its longer slanting left side is labelled 12 cm. Near the bottom there is a small segment of 3 cm with a right-angle mark, marking the perpendicular foot from the apex to a 8 cm horizontal base on the right. The 8 cm side is the base of the triangle and 12 cm represents the slant side; the perpendicular height to the 8 cm base is 12 cm (the dashed perpendicular shown with the right-angle mark).
Find the area of the shaded triangle.
A. 48 cm²
B. 60 cm²
C. 68 cm²
D. 102 cm²
Explanation
The shaded triangle has a base of 8 cm and the perpendicular height (shown by the right-angle mark, from the base extended through the 3 cm mark up to the 12 cm side) is 12 cm. Area = 1/2 × 8 × 12 = 48 cm².
Q7
MCQ
2 marks
What is the missing number in the box? 5 : 15 = ? : 12
A. 9
B. 2
C. 3
D. 4
Explanation
Simplify 5 : 15 = 1 : 3. Then ? : 12 must also simplify to 1 : 3, so ? = 12 ÷ 3 = 4.
Q8
MCQ
2 marks
Percy spent 3/5 of his money on a shirt and 1/4 of the remainder on a belt. What fraction of his money had he left?
A. 3/10
B. 3/20
C. 7/10
D. 9/20
Explanation
After the shirt, remainder = 1 − 3/5 = 2/5. He spent 1/4 of the remainder on the belt, so what remains is 3/4 of the remainder = 3/4 × 2/5 = 6/20 = 3/10.
Q9
MCQ
2 marks
🖼 Visual
Visual context
A horizontal box showing the first 15 numbers of a repeating pattern: 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, with positions labelled 1st, 2nd, 3rd below the first three numbers and 15th below the last number, followed by an ellipsis.
A repeated pattern is formed using the numbers 2 and 0. The first 15 numbers are shown below. What is the sum of the first 98 numbers?
A. 114
B. 117
C. 118
D. 122
Explanation
The repeating block is (2, 0, 2, 2, 0) of length 5 with sum 6. 98 ÷ 5 = 19 remainder 3, so there are 19 complete blocks and the first 3 terms of the next block (2, 0, 2). Sum = 19 × 6 + (2 + 0 + 2) = 114 + 4 = 118.
Q10
Open-ended
1 mark
Find the value of (18 − 12) × 5 + 36 ÷ 2
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Q11
Open-ended
1 mark
Find the value of 3/8 × 4/9
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Q12
Open-ended
1 mark
🖼 Visual
Visual context
Rectangle MPRT split vertically into two identical squares: the left square MNST and the right square NPRS. Vertices labelled clockwise from top-left of the rectangle: M, N, O, P along the top and T, S, R along the bottom, with Q on side PR of the right square. NO = OP along the top of the right square, and PQ equals these along side PR. In the left square MNST there is a large shaded triangle filling the lower-left half (with vertices roughly at M, the midpoint area, and T). In the right square there is a smaller shaded triangle with vertices at O on top, P at the top-right corner, and Q on the right side, with dashed lines indicating the sub-divisions NO, OP and PQ.
Rectangle MPRT is made up of 2 identical squares MNST and NPRS. Given that NO = OP = PQ, what fraction of rectangle MPRT is shaded?
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Q13
Open-ended
1 mark
Lily and Bala shared 42 sweets in the ratio of 2 : 5. How many sweets will Bala get?
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Q14
Structured
2 marks
Use all the digits 6, 2, 5, 9 to form (a) the smallest multiples of 7 (b) the number closest to 9000
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Q15
Open-ended
2 marks
There were 96 students in the school hall. 2/3 of the students were girls. 1/4 of the girls wore glasses. How many girls wore glasses?
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Q16
Open-ended
2 marks
🖼 Visual
Visual context
Rectangle ABDE with A at top-left, B at top-right, D at bottom-right and E at bottom-left. The left side AE is labelled 16 cm and the bottom ED is labelled 20 cm. A horizontal segment FC inside the rectangle is parallel to ED, with F on the left side AE and C on the right side BD. The segment CD on the right side from C down to D is labelled 4 cm. Triangle BCF (with vertices at top-right B, point C on the right side, and point F on the left side) is shaded.
The figure below shows a rectangle, ABDE. FC is parallel to ED. Find the area of the shaded triangle BCF in figure below.
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Q17
Open-ended
2 marks
1/5 of the buttons in a bag are pink. The remaining buttons were blue and yellow in the ratio of 3 : 5. Find the ratio of the number of pink buttons to the number of yellow buttons.
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Q18
Open-ended
2 marks
Vicky earned $5 for every box of tarts she sold. She earned a bonus of $10 for every 12 boxes of tarts sold. Given that Vicky earned a total of $215 how many boxes of tarts did Vicky sell?
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Q19
Open-ended
2 marks
🖼 Visual
Visual context
A simple illustration of a house labelled 'Home' on the left and an office building labelled 'Office' on the right, connected by a wavy line labelled 'Cycling route' representing Mr Lee's path.
Mr Lee cycles to work from his home to his office and then cycles back home from his office after work. He uses the same route to and fro. Given that the distance between his home and his office is 4/5 km, find the total distance Mr Lee cycles to and from work from Monday to Friday for a week.
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Q20
Structured
2 marks
🖼 Visual
Visual context
A square ACDE with A at the top-left, C at the top-right, D at the bottom-right and E at the bottom-left. A point B lies on the top side AC, between A and C, closer to C (since AB is twice BC). A line segment is drawn from B down to D inside the square, forming triangle BCD with vertices B (on top side), C (top-right corner) and D (bottom-right corner).
ACDE is a square. The length AB is twice the length of BC. Each statement below is either true, false or not possible to tell from the information given above. For each statement, please put a tick (✓) in the correct column. Statements: (i) Given that the height of triangle BCD is BC, the ratio of the height of triangle BCD to the base of triangle BCD is 1:3. (ii) When AB = 12 cm, the area of triangle BCD will be 54 cm². (iii) Triangle BCD is 1/3 the area of square ACDE.
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