P5 Mathematics CA1 2021 — Henry Park

Q: What is the value of the digit 8 in the number 282 405?

D. 80 000. In 282 405, the digit 8 is in the ten-thousands place, so its value is 8 × 10 000 = 80 000.

Q: Which of the following is not a factor of 36?

C. 16. 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.

Q: In the number line, what is the mixed number represented by A?

D. 2 5/8. 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.

Q: Which one of the following fractions is the biggest?

D. 3/5. 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.

Q: The figure below is made up of two triangles, ABD and BCD. Given that the height of triangle BCD is AD, find its base.

D. DC. 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.

Q: Find the area of the shaded triangle.

A. 48 cm². 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.

Q: What is the missing number in the box? 5 : 15 = ? : 12

D. 4. Simplify 5 : 15 = 1 : 3. Then ? : 12 must also simplify to 1 : 3, so ? = 12 ÷ 3 = 4.

Q: 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. 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.

Q: 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?

C. 118. 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.

P5 Mathematics 2021 CA1 20 questions 30 marks

Source: Henry Park, 2021

This P5 Mathematics CA1 paper from Henry Park (2021) contains 20 questions worth 30 marks. Use it as a study reference for Mathematics topics typically tested at P5 level in Singapore schools.

Q1 MCQ 1 mark

What is the value of the digit 8 in the number 282 405?

Q2 MCQ 1 mark

Which of the following is not a factor of 36?

Q3 MCQ 1 mark 🖼 Visual

In the number line, what is the mixed number represented by A?

Q4 MCQ 1 mark

Which one of the following fractions is the biggest?

Q5 MCQ 1 mark 🖼 Visual

The figure below is made up of two triangles, ABD and BCD. Given that the height of triangle BCD is AD, find its base.

Q6 MCQ 1 mark 🖼 Visual

Find the area of the shaded triangle.

Q7 MCQ 2 marks

What is the missing number in the box? 5 : 15 = ? : 12

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?

Q9 MCQ 2 marks 🖼 Visual

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?

Q10 Open-ended 1 mark

Find the value of (18 − 12) × 5 + 36 ÷ 2

Q11 Open-ended 1 mark

Find the value of 3/8 × 4/9

Q12 Open-ended 1 mark 🖼 Visual

Rectangle MPRT is made up of 2 identical squares MNST and NPRS. Given that NO = OP = PQ, what fraction of rectangle MPRT is shaded?

Q13 Open-ended 1 mark

Lily and Bala shared 42 sweets in the ratio of 2 : 5. How many sweets will Bala get?

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

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?

Q16 Open-ended 2 marks 🖼 Visual

The figure below shows a rectangle, ABDE. FC is parallel to ED. Find the area of the shaded triangle BCF in figure below.

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.

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?

Q19 Open-ended 2 marks 🖼 Visual

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.

Q20 Structured 2 marks 🖼 Visual

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.

P5 Mathematics CA1 2021 — Henry Park

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