P5 Mathematics CA1 2021 — Methodist Girls

Q: What is the missing number in the box? 8/12 = 2/____

C. 3. 8/12 simplified by dividing numerator and denominator by 4 gives 2/3. So the missing number in the box is 3.

Q: Find the value of 60 – (6 + 8 ÷ 2) × 4.

A. 20. Following order of operations: inside the brackets first — 8 ÷ 2 = 4, then 6 + 4 = 10. Next, 10 × 4 = 40. Finally, 60 − 40 = 20.

Q: Which of the following fractions is the greatest?

C. 5/6. Convert all fractions to a common denominator (60): 1/4 = 15/60, 1/2 = 30/60, 5/6 = 50/60, 7/10 = 42/60. The greatest value is 50/60 which is 5/6.

Q: John is 24 years older than his son. How old will his son be when John is three times as old as him?

C. 12. Let the son's age be x. Then John's age is 3x. The difference is always 24, so 3x − x = 24, which gives 2x = 24, so x = 12. The son will be 12 years old.

Q: Jane cut a pizza into 12 pieces. She ate 3 pieces and gave a few pieces to her friend. After that, 1/3 of the pizza was left. What fraction of the pizza did Jane give to her friend?

C. 5/12. 1/3 of the pizza left = 12 × 1/3 = 4 pieces. Pieces given to friend = 12 − 3 (eaten) − 4 (left) = 5 pieces. Fraction given away = 5/12.

Q: Alex and Helen had $86 together. Helen and Cathy had $142 together. Cathy had three times as much money as Alex. How much did Helen have?

D. $58. Let Alex have $a. Then Cathy = $3a and Helen = 86 − a. From Helen + Cathy = 142: (86 − a) + 3a = 142, so 2a = 56, a = 28. Helen = 86 − 28 = $58.

Q: Bala used the shapes below to form a pattern. Which shape is in the 82nd position?

B. Square. The pattern repeats every 4 shapes in the order Circle, Square, Triangle, Diamond. Dividing 82 by 4 gives 20 remainder 2. The 2nd shape in the cycle is a Square.

Q: Kumar used a piece of rope to form a rectangle measuring 7/12 m by 1/3 m. What is the length of the rope that he used?

D. 1 5/6 m. The rope length equals the perimeter of the rectangle = 2 × (7/12 + 1/3) = 2 × (7/12 + 4/12) = 2 × 11/12 = 22/12 = 11/6 = 1 5/6 m.

P5 Mathematics 2021 CA1 17 questions 40 marks

Source: Methodist Girls, 2021

This P5 Mathematics CA1 paper from Methodist Girls (2021) covers fractions, patterns and algebra, measurement, whole numbers and place value, decimals and money across 17 questions worth 40 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 MCQ 2 marks 🖼 Visual

What is the missing number in the box? 8/12 = 2/____

Q2 MCQ 2 marks

Find the value of 60 – (6 + 8 ÷ 2) × 4.

Q3 MCQ 2 marks

Which of the following fractions is the greatest?

Q4 MCQ 2 marks

John is 24 years older than his son. How old will his son be when John is three times as old as him?

Q5 MCQ 2 marks

Jane cut a pizza into 12 pieces. She ate 3 pieces and gave a few pieces to her friend. After that, 1/3 of the pizza was left. What fraction of the pizza did Jane give to her friend?

Q6 MCQ 2 marks

Alex and Helen had $86 together. Helen and Cathy had $142 together. Cathy had three times as much money as Alex. How much did Helen have?

Q7 MCQ 2 marks 🖼 Visual

Bala used the shapes below to form a pattern. Which shape is in the 82nd position?

Q8 MCQ 2 marks 🖼 Visual

Kumar used a piece of rope to form a rectangle measuring 7/12 m by 1/3 m. What is the length of the rope that he used?

Q9 Structured 2 marks

(a) Write six million, four hundred and twelve in numerals. (b) Round 15 092 to the nearest thousand.

Q10 Structured 2 marks

(a) Express 3/25 as a decimal. (b) Find the value of 1050 ÷ 50.

Q11 Open-ended 2 marks

Mrs Lim bought a 16 kg bag of flour and packed it equally into 3 packets. What was the mass of each packet of flour? Give your answer as a mixed number in its simplest form.

Q12 Structured 2 marks 🖼 Visual

(a) Find the value of 4 − 2 3/5. (b) The figure shown is made up of 2 identical squares, ABCD and EFGH. One square is divided into 4 equal parts. What fraction of the figure is shaded?

Q13 Open-ended 2 marks

On Friday, Muthu spent 1 1/2 h watching television programmes. On Saturday, he spent 1 5/6 h more watching television programmes than he did on Friday. How many hours of television programmes did he watch on Saturday? Give your answer as a mixed number in its simplest form.

Q14 Open-ended 2 marks

Ahmad had some red markers and 55 blue markers. After he gave away 6 red markers and 5 blue markers, he had 120 markers left. How many red markers did Ahmad have at first?

Q15 Open-ended 4 marks

Linda had 40 more stamps than Monica at first. When Monica gave Linda 8 of her stamps, Linda had five times as many stamps as Monica. How many stamps did Linda have at first?

Q16 Structured 4 marks

Aunty June bought a carton of apples. There were fewer than 50 apples in the carton. If she gave 3 apples to each neighbour, she would have 16 apples left. If she gave 5 apples to each neighbour, she would be short of 4 apples. (a) How many neighbours did Aunty June have? (b) How many apples did Aunty June buy?

Q17 Structured 4 marks 🖼 Visual

Michelle used some white and grey tiles to form figures that follow a pattern. The first four figures are shown below. (a) Complete the table below. Figure | Number of white tiles | Number of grey tiles | Total number of tiles 1 | 1 | 0 | 1 2 | 1 | 2 | 3 3 | 4 | 2 | 6 4 | 4 | 6 | 10 5 | (i) ____ | 6 | (ii) ____ (b) Find the total number of tiles in Figure 20.

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