P6 Mathematics SA1 2012 — Rosyth

Q: 4.035 x __________ = 4 035 What is the missing number?

D. 1000. To turn 4.035 into 4035 the decimal point must move three places to the right, which means multiplying by 1000. 4.035 × 1000 = 4035.

Q: Express 0.6% as a decimal.

A. 0.006. Percent means divide by 100, so 0.6% = 0.6 ÷ 100 = 0.006.

Q: Simplify 9 + 7y – 3y – 3.

C. 6 + 4y. Combine like terms: 9 – 3 = 6 and 7y – 3y = 4y, giving 6 + 4y.

Q: Andrew has some cakes. 1/6 of them were chocolate cakes. 3/5 of the remainder were fruit cakes and the rest were pandan cakes. What fraction of the cakes were pandan cakes?

B. 1/3. Remainder after chocolate = 1 – 1/6 = 5/6. Fruit = 3/5 × 5/6 = 1/2. Pandan = 5/6 – 1/2 = 5/6 – 3/6 = 2/6 = 1/3.

Q: Which of the following is not equivalent to 80%?

A. 0.08. 80% = 0.8 = 4/5 = 24/30. Only 0.08 (which is 8%) is not equal to 80%.

Q: Bala scored 8 more marks in his Math test than Science Test. This was 110% of his marks in his Science Test. What were his marks for his Math Test?

B. 80. Let Science marks = S. The Math marks equal 110% of S, and are also 8 more than S, so 110%S – 100%S = 10%S = 8, giving S = 80. The official answer key marks option (2), 80.

Q: Ibrahim walked from his home to school, which is 1.4 km away, at an average speed of 70 m/min. How many minutes did Ibrahim take to walk from his home to school?

D. 20 min. 1.4 km = 1400 m. Time = distance ÷ speed = 1400 ÷ 70 = 20 min.

Q: The ages of Cheryl and Devi are in the ratio 5 : 2. Devi is 12 years younger than Cheryl. What is Cheryl's age?

B. 20 years old. The difference in ratio units is 5 – 2 = 3 units = 12 years, so 1 unit = 4 years. Cheryl = 5 units = 5 × 4 = 20 years old.

Q: 3/4 of Fandi's money is equal to 1/3 of George's money. Find the ratio of Fandi's money to George's money.

C. 4 : 9. 3/4 F = 1/3 G, so F/G = (1/3) ÷ (3/4) = (1/3) × (4/3) = 4/9. Ratio F : G = 4 : 9.

Q: Which one of the following nets can be folded into a pyramid?

A. Option 1. A pyramid net needs one polygon base with triangular faces attached to each edge that fold up to a single apex. Option (1) is the only net whose triangles fold correctly to form a pyramid.

P6 Mathematics 2012 SA1 48 questions 100 marks

Source: Rosyth, 2012

This P6 Mathematics SA1 paper from Rosyth (2012) covers percentage, money, average, rate and speed, ratio, fractions and time 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

4.035 x __________ = 4 035 What is the missing number?

Q1 Open-ended 2 marks

Alex weighs (w + 3) kg. Caleb weighs 2 kg less than Alex. Benny weighs 1 kg more than Caleb. What is the total mass of the three boys?

Q2 Open-ended 2 marks

The number of boys in Class A was 35% more than the number of boys in Class B. If there are 27 boys in Class A, how many boys are there in Class B?

Q2 MCQ 1 mark

Express 0.6% as a decimal.

Q3 Open-ended 2 marks

The price of a movie ticket is $y. A cinema offers each adult a 30% discount and each child a 40% discount. Express the total amount of money two adults and one child need to pay in terms of y.

Q3 MCQ 1 mark

Simplify 9 + 7y – 3y – 3.

Q4 MCQ 1 mark

Andrew has some cakes. 1/6 of them were chocolate cakes. 3/5 of the remainder were fruit cakes and the rest were pandan cakes. What fraction of the cakes were pandan cakes?

Q4 Open-ended 2 marks

Sato had a total of 294 marbles. 5/7 of the marbles was red and the rest was green. He bought some more green marbles. In the end, 1/3 of the marbles was green. How many green marbles did he buy?

Q5 Open-ended 2 marks

A van and a bus were travelling along the same road in the same direction. The van travelled at an average speed of 66 km/h and the bus travelled at an average speed of 48 km/h. If the bus was 6 km ahead of the van at 3.30 p.m., at what time would the van overtake the bus?

Q5 MCQ 1 mark

Which of the following is not equivalent to 80%?

Q6 Open-ended 3 marks

Jack, Kelly and Lenny each bought some sweets. Jack bought 4 times as many sweets as Kelly. Kelly bought 9 sweets less than Lenny. Lenny bought 24 less sweets than Jack. How many sweets did Jack buy?

Q6 MCQ 1 mark

Bala scored 8 more marks in his Math test than Science Test. This was 110% of his marks in his Science Test. What were his marks for his Math Test?

Q7 Open-ended 3 marks

Chandra and Dalip had some stamps. Chandra had 65% of what Dalip had at first. Chandra then gave 80% of what he had to Dalip. As a result, Dalip had 417 more stamps than Chandra. How many stamps did Chandra have at first?

Q7 MCQ 1 mark

Ibrahim walked from his home to school, which is 1.4 km away, at an average speed of 70 m/min. How many minutes did Ibrahim take to walk from his home to school?

Q8 MCQ 1 mark

The ages of Cheryl and Devi are in the ratio 5 : 2. Devi is 12 years younger than Cheryl. What is Cheryl's age?

Q8 Open-ended 3 marks

Yanni and Zaki both started reading "The Hungry Games" storybook on 8 May. Yanni read the same number of pages in a day. On 20 May, Yanni read up to page 104. Zaki read 5 pages in a day. On the day that Zaki read page 104, what would the last page that Yanni would have read up to?

Q9 Open-ended 3 marks

Tank A and Tank B contained a total of 1 588 litres of oil altogether. After 5/9 of the oil from Tank A and 323 litres of oil from Tank B were drained away, the volume of oil remaining in Tank A was twice the volume of oil remaining in Tank B. What was the volume of oil in Tank B at first?

Q9 MCQ 1 mark

3/4 of Fandi's money is equal to 1/3 of George's money. Find the ratio of Fandi's money to George's money.

Q10 MCQ 1 mark 🖼 Visual

Which one of the following nets can be folded into a pyramid?

Q10 Open-ended 3 marks

Gina and Hema have $404 in total. Gina has $12 more than Hema. When Gina spends four times as much as Hema spends, Gina will have no money left. How much money has Hema left?

Q11 MCQ 2 marks

A fish tank was 75% filled with water. When 105 ml of water was poured out, the fish tank was half full. How much water was left in the tank?

Q11 Structured 5 marks 🖼 Visual

Charles used squares and equilateral triangles to form the following figures. Complete the table below. Figure 8: a) Number of Squares ___ (1m); b) Number of Triangles ___ (1m); c) Total Number of Squares and Triangles ___ (1m) (d) Which figure would he have formed if he used 65 squares and triangles in total? (Indicate the Figure number)

Q12 Open-ended 4 marks

There were 280 pupils in the carnival. 1/4 of the boys and 2/3 of the girls remained in the carnival when 175 pupils left. How many girls were there in the carnival at first?

Q12 MCQ 2 marks

Eliza bought 4 different books. The first book cost $16 and the average cost of the remaining books was 3/4 of the cost of the first book. How much did she pay for all the books?

Q13 MCQ 2 marks

Hannah, Jabir and Kendrik shared a sum of money. Hannah received 40% of the money. The ratio of Jabir's money to Kendrik's money was 5 : 1. If Hannah received $12 more than Kendrik, what was the sum of money?

Q13 Open-ended 3 marks 🖼 Visual

The figure below is formed by one square, one semi-circle and two quadrants. If the area of the square is 49 cm², find the perimeter of the figure. (Take π = 22/7)

Q14 Open-ended 4 marks

Ali, Billy, Cindy and Dezi shared a sum of $1170. Ali received 2/3 of the total amount of money received by Billy, Cindy and Dezi. Billy received 4/9 of the total amount of money received by Cindy and Dezi. Dezi received 4/5 the amount received by Cindy. How much money did Billy receive?

Q14 MCQ 2 marks 🖼 Visual

How many more pupils preferred the Snacks Stall to the Nasi Lemak Stall? Express it as a percentage of the total number of pupils surveyed.

Q15 MCQ 2 marks 🖼 Visual

Based on the above results, 20% of the total number of students surveyed preferred this stall. Which stall was it?

Q15 Open-ended 4 marks

A car started from Acorn Town and headed towards Banyan Village. At the same time, a lorry started from Banyan Village and headed towards Acorn Town. The speed of the car was 28 km/h faster than the speed of the lorry. After an hour, they were 186 km apart. After another 1½ hour, they passed each other. What was the speed of the car?

Q16 Open-ended 1 mark

Express 6.55 as a mixed number in the simplest form.

Q16 Structured 5 marks

Mr Tan spent $6 600 of his monthly salary to repay a loan. He gave 48% of the remainder to his wife. As a result 87% of his salary was used. a) What was Mr Tan's monthly salary? b) If Mr Tan saved 25% of what he had left, how much did he save?

Q17 Open-ended 1 mark

Evaluate the expression given that x = 3. 4x – 3 + x + 8 – 2x

Q17 Open-ended 5 marks

The ratio of the number of men to the number of women in an auditorium was 5 : 6 at first. After 18 men entered the auditorium and 98 women left the auditorium, the ratio has now become 8 : 5. What is the total number of men and women in the auditorium now?

Q18 Structured 5 marks

Aisha took 1/2 hour to walk from Village A towards Village B at a uniform speed. Baoli took 3/4 hour to walk from Village B towards Village A at a uniform speed. Both of them started at 2.20 p.m. a) At what time did Aisha and Baoli pass each other along the way? b) At the same time that Aisha reached Village B, Carol started to walk from Village A towards Village B at the same uniform speed as Aisha. At what time did Baoli and Carol meet?

Q18 Open-ended 1 mark

The average score of 5 pupils is 78. Another pupil, Jie Ke, joins in and the average becomes 77. What is Jie Ke's score?

Q19 Open-ended 1 mark

Leonard cycles 2 km in 10 min. What is his speed in m/min?

Q20 Open-ended 1 mark

The ratio of the number of Mark's sweets to Nichola's sweets is 10 : 3. If Mark eats 1/2 of his sweets, what will the new ratio be?

Q21 Open-ended 1 mark

Oliver, Paul and Quentin shared a sum of money in the ratio 5 : 2 : 4. What fraction of the sum of money did Paul receive?

Q22 Open-ended 1 mark 🖼 Visual

How many faces does the solid below have?

Q23 Open-ended 1 mark

Aunty Lim sold 1/3 of the fruits in the morning and 2/5 of the remaining fruits in the afternoon. If she had 120 fruits left, how many fruits did she have at first?

Q24 Open-ended 1 mark

A shopkeeper gave a 10% discount on all items in his store. How much would a customer pay for a camera that originally cost $235?

Q25 Open-ended 1 mark 🖼 Visual

The figure (not drawn to scale) is made up of three identical semicircles, each of diameter 20 cm. Find the area of the figure. (Take π = 3.14)

Q26 Structured 2 marks

Sharon bought a shirt with 1/2 of her money. She then used 1/4 of the remainder to buy 5 similar pairs of socks. What fraction of her money did Sharon spend on one pair of socks?

Q27 Structured 2 marks

Vicky has thrice as many stickers as Wei Hao. Wei Hao has twice as many stickers as Xavier. If the three of them have a total of 72 stickers, how many stickers does Vicky have?

Q28 Structured 2 marks

Mr Tan is 48 years old. His son is 30 years younger than he is. In how many years' time will Mr Tan be twice as old as his son?

Q29 Structured 2 marks

Tim travelled a total distance of 120 km. He travelled half of his journey at an average speed of 80 km/h and the rest at 60 km/h. He started his journey at 7 a.m. At what time would he reach his destination?

Q30 Structured 2 marks

The ratio of the number of apples to the number of oranges at a stall was 1 : 7. After Mrs Yong bought half of the oranges, there were a total of 162 apples and oranges left at the stall. How many oranges did Mrs Yong buy?

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