P6 Mathematics CA1 2017 — Rosyth

Q: In the number line below, what is the number indicated by the arrow?

C. 92. The major marks are 80, 100 and 120 with five equal small intervals between each pair, so each small interval is 4. The arrow points to the third tick after 80: 80 + 3 × 4 = 92.

Q: Which of the following fractions is the furthest from 1?

B. 5/11. Distances from 1: 5/9 → 4/9 ≈ 0.44; 5/11 → 6/11 ≈ 0.55; 1 1/2 → 0.5; 1 2/5 → 0.4. The largest distance is 6/11, so 5/11 is furthest from 1.

Q: Liling and Siti spent some money on stationery. Siti's spending was 3/5 of what Liling had spent. What was the ratio of Siti's spending to their total spending?

C. 3 : 8. Let Liling = 5 units, then Siti = 3 units. Total = 5 + 3 = 8 units. Siti : total = 3 : 8.

Q: Express 1.4% as a decimal.

A. 0.014. 1.4% = 1.4 ÷ 100 = 0.014.

Q: Water flowed into an empty tank from 09 00 to 13 00. The line graph shows the amount of water in the tank from 09 00 to 13 00. During which one-hour period was the increase in the volume of water the greatest?

B. Between 10 00 and 11 00. Increases read from the graph: 09–10 = 0→20 (20 L); 10–11 = 20→45 (25 L); 11–12 = 45→65 (20 L); 12–13 = 65→72 (7 L). The greatest increase, 25 L, is between 10 00 and 11 00.

Q: Which lines represent the correct pair of height and base for the triangle ABD?

D. Base AB, Height BC. In triangle ABD, AB lies along the top and BC is perpendicular to it (the vertical distance to D), so base AB with height BC form a valid base–height pair.

Q: Jane saved $m and her brother saved thrice as much money as her. Which of the following algebraic expression does not represent her brother's savings?

C. $3 + $m. Three times $m equals 3m, which is $3m, $m × 3 and $m + $m + $m. $3 + $m is an addition, not three times m, so it does not represent the brother's savings.

Q: The figure shows a circle with a diameter of 20 cm. Find the area of the shaded quadrant. Take π = 3.14

A. 78.5 cm². Radius = 20 ÷ 2 = 10 cm. Quadrant area = 1/4 × π × r² = 1/4 × 3.14 × 10 × 10 = 78.5 cm².

Q: The figure is made up of 2 identical circles of diameter 8 cm. Find the area of the shaded parts. Express your answer in terms of π.

A. (8 π) cm². Each circle has radius 4 cm. By rearranging, the shaded region (a half of one circle plus the overlapping leaf shapes) is equivalent to half of one circle's area: 1/2 × π × 4² = 8π cm².

Q: Which triangles, P, Q, R and S, have the same area?

D. P and R. Counting base × height on the grid, triangles P and R both have the same area (½ × base × height giving equal values), while Q and S have different areas.

P6 Mathematics 2017 CA1 48 questions 100 marks

Source: Rosyth, 2017

This P6 Mathematics CA1 paper from Rosyth (2017) covers area and perimeter, measurement, money, fractions, geometry and angles and patterns and algebra across 48 questions worth 100 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.

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Q1 MCQ 1 mark 🖼 Visual

In the number line below, what is the number indicated by the arrow?

Q2 MCQ 1 mark

Which of the following fractions is the furthest from 1?

Q3 MCQ 1 mark

Liling and Siti spent some money on stationery. Siti's spending was 3/5 of what Liling had spent. What was the ratio of Siti's spending to their total spending?

Q4 MCQ 1 mark

Express 1.4% as a decimal.

Q5 MCQ 1 mark 🖼 Visual

Water flowed into an empty tank from 09 00 to 13 00. The line graph shows the amount of water in the tank from 09 00 to 13 00. During which one-hour period was the increase in the volume of water the greatest?

Q6 MCQ 1 mark 🖼 Visual

Which lines represent the correct pair of height and base for the triangle ABD?

Q7 MCQ 1 mark

Jane saved $m and her brother saved thrice as much money as her. Which of the following algebraic expression does not represent her brother's savings?

Q8 MCQ 1 mark 🖼 Visual

The figure shows a circle with a diameter of 20 cm. Find the area of the shaded quadrant. Take π = 3.14

Q9 MCQ 1 mark 🖼 Visual

The figure is made up of 2 identical circles of diameter 8 cm. Find the area of the shaded parts. Express your answer in terms of π.

Q10 MCQ 1 mark 🖼 Visual

Which triangles, P, Q, R and S, have the same area?

Q11 MCQ 2 marks

Manisha collected some bookmarks and seashells. The number of bookmarks to the number of seashells was 8 : 5. There were 24 more bookmarks than seashells. What was the total number of bookmarks and seashells in her collection?

Q12 MCQ 2 marks

Sally's mark for a test is 80% of Krishan's mark for the same test. Krishan scored 90 marks for the test. How many more marks did Krishan score than Sally in the test?

Q13 MCQ 2 marks 🖼 Visual

Keith has 3 bags of marbles. Each bag has a different number of marbles. The largest number of marbles in a bag is 47. When the marbles in any 2 bags are added together, they would add up to 67, 76, and 85 marbles. What is the smallest number of marbles in one of the bags?

Q14 MCQ 2 marks

Shanise and Alynna bought a present. Shanise used 1/3 of her money and Alynna used 2/5 of her money to pay for the present. After paying for the present, they had the same amount of money left. What fraction of the cost of the present is paid by Alynna?

Q15 MCQ 2 marks 🖼 Visual

The shaded figure is formed by two identical circles with centres at A and C. ABCD is a square and length AB is 3.5 cm. Find the perimeter of the shaded figure. Take π = 22/7

Q16 Open-ended 1 mark

Find the value of 182.4 ÷ 60.

Q17 Open-ended 1 mark

Find the value of 3/4 ÷ 24. Express your answer in the simplest form.

Q18 Open-ended 1 mark

Find the value of (6k − 2)/4 when k = 5.

Q19 Open-ended 1 mark

Use all the digits 1, 3, 9, 4 to form a number closest to 4000.

Q20 Open-ended 1 mark

In a Primary 6 class, there were 16 boys and 24 girls. When 4 of the girls left, what fraction of the remaining pupils in the class are girls? Express your answer in the simplest form.

Q21 Open-ended 1 mark

A television set cost $500 in May. The same television set cost $380 in June. What was the percentage discount given for the television set in June?

Q22 Open-ended 1 mark 🖼 Visual

The table below shows the number of computers that each student has in his/her household. How many pupils have at least 2 computers in his/her household?

Q23 Open-ended 1 mark 🖼 Visual

In the figure drawn below, the dotted line is the line of symmetry. Shade the squares to complete the symmetrical figure in the square grid.

Q24 Open-ended 1 mark

Mr Teo sold (5w + 11) fruits on Friday. He sold 7w more fruits on Saturday than on Friday. What is the total number of fruits he sold on Friday and Saturday? Express your answer in terms of w in the simplest form.

Q25 Open-ended 1 mark 🖼 Visual

In the figure below, XYZ is a straight line and WZ = YZ. What is the area of triangle WXY?

Q26 Open-ended 2 marks 🖼 Visual

The pattern in the box shows part of a tessellation. Extend the tessellation by drawing two more unit shapes in the space provided in the box.

Q27 Open-ended 2 marks

Linda and Rani collected stickers in the ratio 5 : 1. After Linda gave 20 stickers to Rani, their ratio became 5 : 7. How many stickers did Rani have in the end?

Q28 Open-ended 2 marks 🖼 Visual

The bar graph shows the number of points scored by Ken in 3 attempts. After his fourth attempt, Ken managed to score a total of 44 points for all 4 attempts. How many points did he score in his fourth attempt?

Q29 Open-ended 2 marks

Ming is h years old. Ken is twice as old as him. Four years ago, Raju was half of Ken's age. What is the combined age of Ming, Ken and Raju now?

Q30 Open-ended 2 marks 🖼 Visual

Two quarter circles and 2 semi-circles of the same radius are cut out from a square piece of paper of length 15 cm. What is the perimeter of the remaining piece of paper? Express your answer in terms of π.

Q31 Open-ended 2 marks

Ali, Ben and Cindy shared the cost for a present. Ali's share of the cost to Ben's share of the cost was 4 : 5. Ben's share of the cost to Cindy's share of the cost was 2 : 3. Ali and Cindy gave a total of $46 for the present. What was the cost of the present?

Q32 Open-ended 2 marks 🖼 Visual

In the figure below, the square ABCD is made up of 2 identical large rectangles of the same area and 4 identical small rectangles of the same area. The breadth of each small rectangle is equal to the breadth of each large rectangle. The area of the smaller rectangle is 21 cm². What is the area of ABCD?

Q33 Open-ended 2 marks

Belinda wanted to pack 84 apples and 90 oranges into as many bags as possible. The number of apples and oranges are the same in each bag. If all the fruits are packed, how many fruits were there in each bag?

Q34 Open-ended 2 marks 🖼 Visual

The figure is made up of a rectangle and a circle. Find the area of the shaded parts. Take π = 3.14

Q35 Open-ended 2 marks

Ling Yan bought a bag with 2/5 of her money. She then used 5/9 of the remainder to buy 3 files. What fraction of her money did she spend on one file? Express your answer in the simplest form.

Q36 Open-ended 3 marks

Jolene paid $24 for 20 muffins after a 20% discount. How many muffins could she have bought with the same amount of money without the discount?

Q37 Structured 3 marks

There were 7 participants who took part in a quiz. Their average score was g. Later, 2 more participants joined the quiz. Each of them scored 20 marks. (a) What was the new total score for all the participants? Express your answer in terms of g in the simplest form. (b) If g = 29, find the new average score of all the participants.

Q38 Open-ended 3 marks 🖼 Visual

The figure below, not drawn to scale, is made up of a square MNOP and a rectangle PQRS. The length of the square is 9 cm and MT = 7.2 cm. Find the area of the rectangle PQRS.

Q39 Open-ended 3 marks

Chairs were arranged in rows of 28 in the school hall. During the Chinese New Year concert, the chairs were rearranged to form rows of 24. As a result, there were 7 more rows. The last row was 4 chairs short. How many chairs were there in the hall?

Q40 Open-ended 3 marks 🖼 Visual

Two identical quarter circles of radius 14 cm were cut from the rectangular piece of wood, JLNP, as shown below. The remaining piece of wood (the shaded area) has an area of 266 cm². Find the length of MN. Take π = 22/7

Q41 Structured 4 marks

John cut out 4 small identical squares from a square piece of cardboard. The area of the 4 small identical squares to the area of the remaining cardboard was 1 : 3. The perimeter of the remaining cardboard was 320 cm. (a) What was the area of the cardboard? (b) What is the maximum number of 12-cm squares that he would be able to cut from the remaining cardboard?

Q42 Structured 4 marks

There are red, green and blue ribbons in a box. The length of each red ribbon, green ribbon and blue ribbon is 2 m, 3 m and 4 m respectively. The ratio of the number of red ribbons to the number of green ribbons and to the number of blue ribbons is 4 : 7 : 6. The total length of all the green ribbons is 315 m. (a) What is the ratio of the length of all the red ribbons to the length of all the blue ribbons? Express your answer in the simplest form. (b) What is the total length of all the ribbons?

Q43 Open-ended 4 marks 🖼 Visual

The figure is made up of 2 squares, ABCD and EFGH, and 2 circles. The length AF = FB. The area of square EFGH is 64 cm². Find the area of the shaded parts. Round off your answer to 2 decimal places. (Use the calculator value of π)

Q44 Structured 4 marks

5/12 of the visitors at a carnival are adults. The rest of the visitors are boys and girls in the ratio of 5 : 4. There are 84 more boys than girls. There are 621 females at the carnival. (a) How many children are there at the carnival? (b) How many males are there at the carnival?

Q45 Open-ended 4 marks 🖼 Visual

Caitlin wants to lay circular stone tiles of diameter 1 m all round a rectangular pond to create a foot path 3 m wide all around as shown below. What is the minimum number of tiles she will need? (The tiles must be arranged as shown in the diagram. They cannot overlap each other and there must be no gap between each tile.)

Q46 Structured 5 marks

Alicia and Clara had a total of 764 beads. They each used some of their beads to make a necklace each and keep the remaining beads. Alicia had 1/3 as many beads remaining as Clara after making their necklaces. The number of beads Clara used to make her necklace was 63 more than what she had left. Clara used 3 times as many beads as Alicia to make her necklace. (a) How many beads were used to make the 2 necklaces? (b) How many beads did Alicia have at first?

Q47 Structured 5 marks

The number of children who enrolled in a swim school in September was 30% fewer than the number of children who had enrolled in June. There were 87 more children who enrolled in December as compared to September. There were 375 children who enrolled in the swim school in June, September and December. (a) How many children enrolled in the swim school in December? (b) What was the percentage decrease/increase in the number of children who enrolled in June as compared to December?

Q48 Structured 5 marks 🖼 Visual

The table below shows the number of GaME cards in each different coloured pack and its price. Starting on a Monday, Ryan bought an average of 3 packs of red and blue GaME cards each day. On each Sunday, he bought only a black pack of GaME cards. After 44 days, he had spent $74.70 on the GaME cards and had 722 cards. (a) How much did Ryan spend on the red and blue GaME cards altogether? (b) How many packs of Blue GaME cards did Ryan buy?

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