P6 Mathematics SA1 2014 — Catholic High

Q: Which one of the following numbers is the smallest?

B. 0.034. Comparing place values, 0.034 has 0 tenths and 3 hundredths, making it smaller than 0.043, 0.304 and 0.403.

Q: Which one of the following is the best estimate for 39.6 × 20.4?

C. 40 × 20. 39.6 rounds to 40 and 20.4 rounds to 20, so the best estimate is 40 × 20.

Q: Which one of the following fractions is smaller than 1/4?

D. 2/9. 1/4 = 0.25. 2/9 ≈ 0.222 which is less than 0.25, while 3/5 = 0.6, 2/7 ≈ 0.286 and 3/8 = 0.375 are all greater.

Q: The number of visitors to a tourist attraction last year when rounded off to the nearest thousand is 400 000. Which one of the following is the possible actual number of visitors?

A. 400 499. Numbers that round to 400 000 to the nearest thousand lie from 399 500 to 400 499. Only 400 499 is in this range; the others round to 401 000.

Q: Find the sum of 6 hundreds, 9 tenths and 5 thousandths.

C. 600.905. 6 hundreds = 600, 9 tenths = 0.9, 5 thousandths = 0.005. 600 + 0.9 + 0.005 = 600.905.

Q: The container below contained water. What was the volume of the water in the container?

D. 350 ml. The topmost graduation is 500 ml and the graduations are 50 ml apart. The water level reaches the third mark below 500 ml, i.e. 500 − 3 × 50 = 350 ml.

Q: Express 12 050 grams in kilograms.

B. 12.05 kg. 1 kg = 1000 g, so 12 050 g = 12 050 ÷ 1000 = 12.05 kg.

Q: Sean had a mixture of 20¢, 50¢ and $1 coins in his wallet. There were 6 coins altogether. Which one of the following could not be the amount of money in Sean's wallet?

B. $2.50. With at least one of each coin and 6 coins in total: $2.30 = 4×20¢ + 1×50¢ + 1×$1; $2.60 = 3×20¢ + 2×50¢ + 1×$1; $2.90 = 2×20¢ + 3×50¢ + 1×$1. No combination of 6 coins using all three denominations gives $2.50, so it is impossible.

Q: Rectangle ACDF is made up of a smaller rectangle ABEF and a square BCDE. FCE is a triangle. The ratio of the length of FD to the length of CD is 3 : 1. The area of the square is 50 cm². What is the area of the triangle FCE?

A. 50 cm². Let the square's side be s, so s² = 50. FD = 3s, and ED = s, so FE = 3s − s = 2s. Triangle FCE has base FE = 2s and height CD = s, giving area = ½ × 2s × s = s² = 50 cm².

Q: In the square grid below, A, B and C are three points on the ground. Point A is North-West of C. In what direction is point C from point B?

A. North-East. With North pointing up (A is North-West of C, consistent with the compass shown), point C lies up and to the right of point B on the grid, so C is North-East of B.

P6 Mathematics 2014 SA1 48 questions 100 marks

Source: Catholic High, 2014

This P6 Mathematics SA1 paper from Catholic High (2014) covers measurement, money, geometry and angles, fractions, area and perimeter 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.

← More P6 Maths past-year papers

Q1 MCQ 1 mark

Which one of the following numbers is the smallest?

Q1 Open-ended 2 marks

Bala did sit-ups for 3 days. On each day, he would do 2 more sit-ups than the previous day. He did y number of sit-ups on the first day. What was the total number of sit-ups he did for the 3 days? Give your answer in terms of y.

Q2 Open-ended 2 marks

Nicholas paid $240 for a microwave oven after a discount of 40%. What was the price of the microwave oven before the discount?

Q2 MCQ 1 mark

Which one of the following is the best estimate for 39.6 × 20.4?

Q3 Open-ended 2 marks 🖼 Visual

In the square grid below, BC and CD are sides of a rhombus ABCD. Complete the rhombus by drawing the other two sides in the square grid below.

Q3 MCQ 1 mark

Which one of the following fractions is smaller than 1/4?

Q4 MCQ 1 mark

The number of visitors to a tourist attraction last year when rounded off to the nearest thousand is 400 000. Which one of the following is the possible actual number of visitors?

Q4 Open-ended 2 marks 🖼 Visual

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

Q5 MCQ 1 mark

Find the sum of 6 hundreds, 9 tenths and 5 thousandths.

Q5 Open-ended 2 marks 🖼 Visual

The figure below is formed by a semicircle, 2 identical quarter circles and lines AB, BC, CD and DA. AB = BC = CD = DA = 60 cm. What is the total area of the shaded parts?

Q6 MCQ 1 mark 🖼 Visual

The container below contained water. What was the volume of the water in the container?

Q6 Structured 3 marks 🖼 Visual

Mrs Wong needed 60 apple pies for a party. How much money would she need to pay for the apple pies at the special promotion?

Q7 Structured 3 marks

There were 369 roses and lilies at a flower shop. After 2/5 of the roses and 3/7 of the lilies were sold, there was an equal number of roses and lilies left. How many roses were left?

Q7 MCQ 1 mark

Express 12 050 grams in kilograms.

Q8 Structured 3 marks

A container with 60 balls in it weighed 980 g. When 10 balls were removed from the container, the container with the remaining balls weighed 855 g. Find the mass of 1 ball.

Q8 MCQ 1 mark

Sean had a mixture of 20¢, 50¢ and $1 coins in his wallet. There were 6 coins altogether. Which one of the following could not be the amount of money in Sean's wallet?

Q9 Structured 3 marks

A group of boys had an average number of 42 marbles. One of the boys had wrongly counted his marbles as 35. The correct number of marbles he had should be 53. After re-counting the marbles, the average number of marbles they had increased to 45. How many boys were there in the group?

Q9 MCQ 1 mark 🖼 Visual

Rectangle ACDF is made up of a smaller rectangle ABEF and a square BCDE. FCE is a triangle. The ratio of the length of FD to the length of CD is 3 : 1. The area of the square is 50 cm². What is the area of the triangle FCE?

Q10 Structured 3 marks 🖼 Visual

Figure 1 shows a rectangle ABCD. It is folded along AC to form Figure 2. The area of Figure 2 is 5/8 of the area of Figure 1. The area of the shaded part in Figure 2 is 36 cm². Find the area of rectangle ABCD.

Q10 MCQ 1 mark 🖼 Visual

In the square grid below, A, B and C are three points on the ground. Point A is North-West of C. In what direction is point C from point B?

Q11 Structured 4 marks

The ratio of the number of 20¢ coins to the number of 50¢ coins to the number of $1 coins in a money box is 3 : 5 : 4. The difference in value between the 20¢ coins and the $1 coins is $88.40. How many 50¢ coins are there in the money box?

Q11 MCQ 2 marks 🖼 Visual

Four different rectangles are used to form a pattern. The first 14 rectangles are shown below. Which rectangle is in the 39th position?

Q12 MCQ 2 marks 🖼 Visual

The figure below is made up of 3 identical quarter circles with a radius of 14 cm. Find the perimeter of the figure. (Take π = 22/7)

Q12 Structured 4 marks 🖼 Visual

In the figure below, ABCD is a parallelogram with length AB twice the length of AD. ABE is an equilateral triangle. F is a point on AE such that AF = FE. ∠BCD is 104°. Find ∠FDC.

Q13 MCQ 2 marks

Mrs Tan had 5/7 kg of flour to bake some cakes. 1/5 kg of the flour was used for each cake. How much of the flour was left after Mrs Tan baked the greatest possible number of cakes?

Q13 Structured 4 marks

The ratio of the mass of sugar in packet A to the mass of sugar in packet B is 5 : 6. The mass of sugar in packet A is increased by 30%. By what percentage must the mass of sugar in packet B be decreased so that the total mass of sugar in packet A and B remains the same?

Q14 MCQ 2 marks 🖼 Visual

The table shows the rate of charges for taxi fare during non-peak hours of travel. Mrs Wong boarded a taxi and paid $27.50 in taxi fare at the end of her journey. What was the greatest possible distance traveled during non-peak hours?

Q14 Structured 4 marks

Mrs Chan baked chocolate, strawberry and vanilla puffs. She baked 132 chocolate puffs. 35% of her puffs were strawberry puffs. She baked 12 more vanilla puffs than strawberry puffs. How many chocolate puffs and vanilla puffs did Mrs Chan bake altogether?

Q15 MCQ 2 marks

At an amusement park, the ratio of the number of adults to the number of children was 7 : 6. The ratio of the number of boys to the number of girls was 3 : 1. What was the ratio of the number of boys to the number of adults? Give your answer in the simplest form.

Q15 Structured 4 marks

Patrick spent 25% of his savings on a bag and 40% of the remainder on a pair of shorts. He was left with $135. How much savings did Patrick have at first?

Q16 Open-ended 1 mark

Write two hundred and six thousand and seventy-nine in figures.

Q16 Structured 5 marks 🖼 Visual

1 cm square tiles and triangular tiles were used to make some figures. The area of each triangular tile was half that of a square tile. The first four figures are shown below. (a) Find the area of Figure 5. (b) How many squares were used to make a figure with an area of 180.5 cm²?

Q17 Structured 5 marks

There were 156 more silver balloons than gold balloons at a party. After 5/6 of the silver balloons and 3/4 of the gold balloons burst, there were 106 balloons left. How many balloons were there altogether at first?

Q17 Open-ended 1 mark

Find the value of 70 − (80 − 15) ÷ 5 + 4.

Q18 Structured 5 marks

Pens and pencils were sold in packets of 2 pens and packets of 3 pencils respectively. Each packet of pens was sold at $5 and each packet of pencils was sold at $0.90. Mrs Chan bought 96 pens and pencils and paid $134.40. How many pencils did she buy?

Q18 Open-ended 1 mark

Find the value of 3.97 x 90. Express the answer in decimal.

Q19 Open-ended 1 mark

The average of 5 consecutive whole numbers is 37. What is the greatest whole number?

Q20 Open-ended 1 mark

Express 2.5 as a percentage.

Q21 Open-ended 1 mark

Find the value of 2k − (3 + k)/7 when k = 7. Give your answer as a mixed number in the simplest form.

Q22 Open-ended 1 mark

Kenneth's watch was 8 minutes slow. He went to a cinema and missed the first 4 minutes of the movie upon arrival. His watch showed 8.32 p.m. when he arrived. What time did the movie start?

Q23 Open-ended 1 mark

There are white and red roses in a vase. 15 roses are white and 25 roses are red. What fraction of the roses is white? Give your answer in simplest form.

Q24 Open-ended 1 mark

Find the difference in value between 4 1/2 − 5/6. Give your answer as a mixed number in simplest form.

Q25 Open-ended 1 mark 🖼 Visual

The diagram below shows half of a symmetric figure with the dotted line as its line of symmetry. Draw the other half of the symmetric figure to complete the symmetric figure.

Q26 Open-ended 2 marks

Find the value of 3 ÷ 7 and correct the answer to 2 decimal places.

Q27 Open-ended 2 marks 🖼 Visual

In the number line below, Point A represents 1/9, Point C represents 1/5 and AB = BC. What fraction is represented by Point B?

Q28 Open-ended 2 marks

A rectangle has a perimeter of 42 cm. Its length is twice its breadth. Find the breadth of the rectangle.

Q29 Open-ended 2 marks

Bobby and Ken had some money in the ratio 5 : 3. Bobby had $48 more than Ken. How much did Ken have?

Q30 Open-ended 2 marks 🖼 Visual

In the figure below, ABC and ADC are triangles. ∠ADC = 90°, ∠ABC = 41° and ∠DCB = 22°. Find ∠DAB.

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