P6 Mathematics SA1 2018 — Raffles Girls

Q: Express 4 4/5 as a decimal.

D. 4.80. 4/5 = 0.8, so 4 4/5 = 4.80.

Q: 208 709 = 200 000 + __________ + 700 + 9

B. 8000. 200 000 + 8000 + 700 + 9 = 208 709, so the missing value is 8000.

Q: What is the missing fraction in the box? 13/6 + 2/3 = __________

D. 2 5/6. 2/3 = 4/6, so 13/6 + 4/6 = 17/6 = 2 5/6.

Q: A durian is 2 1/4 times as heavy as an apple. What is the ratio of the mass of the durian to the mass of the apple?

C. 9 : 4. 2 1/4 = 9/4, so durian : apple = 9/4 : 1 = 9 : 4.

Q: Find the value of x + x/5 when x = 5.

B. 6. x + x/5 = 5 + 5/5 = 5 + 1 = 6.

Q: What is the length of the paper clip shown below?

C. 3.2 cm. The paper clip's left end aligns at 2.4 cm and its right end at 5.6 cm on the ruler, giving a length of 5.6 − 2.4 = 3.2 cm.

Q: Arrange the following fractions from the largest to the smallest. 4/7, 2/3, 5/6

A. 5/6, 2/3, 4/7. 4/7 ≈ 0.571, 2/3 ≈ 0.667, 5/6 ≈ 0.833. Largest to smallest: 5/6, 2/3, 4/7.

Q: John is facing the school. After he turns 135° anti-clockwise, he will be facing the __________.

A. park. John stands at the centre with 8 directions spaced 45° apart. Facing the school (top-right), a 135° anti-clockwise turn (3 steps of 45°) brings him to face the park (to his left).

Q: ABC is an isosceles triangle. DBC is a right-angled triangle. Find ∠v.

A. 35°. In right-angled triangle DBC, ∠DBC = 180° − 90° − 13° = 77°. Since ∠ABC (the 42°) and ∠v together with the marked equal angle make up ∠DBC, and the equal tick marks give ∠ABD = 42°, ∠v = 77° − 42° = 35°.

Q: A shop sells 3 pens for $2 and 5 pencils for $3. John bought an equal number of pens and pencils. What was the least amount he could have spent?

C. $19. Pens come in 3s and pencils in 5s; the least common equal number is 15. 15 pens = 5 sets × $2 = $10; 15 pencils = 3 sets × $3 = $9; total = $10 + $9 = $19.

P6 Mathematics 2018 SA1 47 questions 100 marks

Source: Raffles Girls, 2018

This P6 Mathematics SA1 paper from Raffles Girls (2018) covers money, measurement, percentage, fractions, ratio and area and perimeter across 47 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

Express 4 4/5 as a decimal.

Q2 MCQ 1 mark

208 709 = 200 000 + __________ + 700 + 9

Q3 MCQ 1 mark

What is the missing fraction in the box? 13/6 + 2/3 = __________

Q4 MCQ 1 mark

A durian is 2 1/4 times as heavy as an apple. What is the ratio of the mass of the durian to the mass of the apple?

Q5 MCQ 1 mark

Find the value of x + x/5 when x = 5.

Q6 MCQ 1 mark 🖼 Visual

What is the length of the paper clip shown below?

Q7 MCQ 1 mark

Arrange the following fractions from the largest to the smallest. 4/7, 2/3, 5/6

Q8 MCQ 1 mark 🖼 Visual

John is facing the school. After he turns 135° anti-clockwise, he will be facing the __________.

Q9 MCQ 1 mark

Express 1/25 as a percentage.

Q10 MCQ 1 mark 🖼 Visual

ABC is an isosceles triangle. DBC is a right-angled triangle. Find ∠v.

Q11 MCQ 2 marks

A shop sells 3 pens for $2 and 5 pencils for $3. John bought an equal number of pens and pencils. What was the least amount he could have spent?

Q12 MCQ 2 marks 🖼 Visual

The figure is made up of 1-cm cubes. Rajah wants to form a cube of sides 4 cm. How many more 1-cm cubes does he need?

Q13 MCQ 2 marks

Xiao Ming had the same number of 20-cent and 50-cent coins. He had a total of $14.70. What was the total value of all the 20-cent coins?

Q14 MCQ 2 marks

Mrs Tan spent 5% of her salary on transport and 40% of the remaining salary on household expenses. What percentage of her salary was left?

Q15 MCQ 2 marks

In a book fair, the ratio of the number of comic books to the number of magazines was 5 : 7. After selling 12 comic books to the shoppers, the ratio of the number of comic books left to the number of magazines left was 3 : 5. How many magazines were there in the end?

Q16 Open-ended 1 mark

Evaluate 40 ÷ 2 x 10 + 5

Q17 Open-ended 1 mark

A box of markers cost $9.60. Mrs Tan bought 78 boxes of markers. How much did she pay altogether?

Q18 Open-ended 1 mark

Find the value of 13 − 2.87

Q19 Open-ended 1 mark

The subway trains depart at intervals of 15 minutes. Find the time of departure of the fifth train if the first train departs at 4.15 p.m.

Q20 Open-ended 1 mark 🖼 Visual

The figure is made up of 5 squares. What fraction of the figure is shaded?

Q21 Structured 2 marks

John spends $ y/7 everyday on food. How much does he spend on food in 2 weeks?

Q22 Structured 2 marks

Josh is 1 7/10 m tall. He is 3/5 m taller than Kristen. What is their total height? Leave your answer in the simplest form.

Q23 Structured 2 marks 🖼 Visual

The figure shows a 3/4 circle of diameter 14 cm. A is the centre of the circle. Find the area of triangle ABC.

Q24 Structured 2 marks

The average of 4 numbers was 21. When a number was added, the average became 23. What was the value of the number added?

Q25 Structured 2 marks

Terry started cycling from Town A to Town B at noon. At the same time, Jim started cycling from Town B to Town A. They met each other at 2 p.m. The speed of Terry is twice as fast as Jim. Given that the distance between Town A and Town B is 45 km, find Jim's speed.

Q26 Structured 2 marks

It takes 3 men to paint a block of flats completely in 22 days. Each man takes equal number of days to paint a block of flats. How many days will it take 2 men to paint 3 similar block of flats completely?

Q27 Structured 2 marks

A container has a mass of 3.8 kg when it is 3/5 filled with water. Its mass becomes 3.3 kg when it is 1/2 filled with water. What is the mass of the empty container?

Q28 Structured 2 marks 🖼 Visual

The figure is made up of 2 squares, A and B. 1/4 of A is shaded and 1/9 of B is shaded. The area of the shaded part is 5 cm². Find the area of the figure.

Q29 Structured 2 marks 🖼 Visual

The figure shows a trapezium CDEF and an isosceles triangle CEF. Find ∠CED.

Q30 Structured 2 marks 🖼 Visual

Mdm Goh had 6 kg of sugar. She wanted to repack the sugar into identical packets. Each packet has a mass of 4/5 kg. Based on the information above, put a tick in the correct box. (a) Mdm Goh had 8 packets of 4/5 kg of sugar after repacking. (True / False / Impossible to tell) (b) If Mdm Goh had 8 kg of sugar, she would be able to repack all the sugar into identical packets of 4/5 kg without any remainder. (True / False / Impossible to tell)

Q31 Structured 2 marks

(Paper 2, ____) Ann has x stickers. Betty has (x + 5) more stickers than Ann. How many stickers do they have altogether?

Q32 Structured 2 marks 🖼 Visual

(Paper 2, ____) What is the price of the chandelier after the discount? Usual price: $568, Discount: 15 %

Q33 Structured 2 marks

(Paper 2, ____) Mrs Wong sold 1/4 of her chicken pies in the morning. She sold another 36 chicken pies in the afternoon. If the ratio of the total number of chicken pies sold to the number of chicken pies left was the same, how many chicken pies did she have at first?

Q34 Structured 2 marks

(Paper 2, ____) Kim bought 3 soccer balls for $90. She also bought an equal number of identical volley balls but at a different price. The average price of all the balls she bought was $26. What was the price of each volleyball?

Q35 Structured 2 marks 🖼 Visual

(Paper 2, ____) ABCD is a square and STUV are midpoints of AB, BC, CD and DA respectively. Find ∠BTU.

Q36 Structured 3 marks

(Paper 2, ____) The cost of admission tickets for 2 adults and 3 children to Curo Theme Park is $183. The cost of admission tickets for 3 adults and 2 children is $192. What is the cost of 1 adult ticket?

Q37 Structured 3 marks

(Paper 2, ____) Fathin receives $0.80 more pocket money than Halim every day. Each of them spends $1.40 a day and saves the rest of their pocket money. If Halim saves $50 and Fathin saves $90, how much pocket money does Halim receive for a day?

Q38 Structured 3 marks 🖼 Visual

(Paper 2, ____) EFGH is a rectangular piece of paper folded along JK. ∠JKG = 22°. (a) Find ∠GJK. (b) Find ∠GJF.

Q39 Structured 3 marks 🖼 Visual

(Paper 2, ____) The figure is made up of a circle and a semicircle. O is the centre of the semicircle. Given that the length of AOB is 40 cm, find the perimeter of the shaded part. Take π = 3.14

Q40 Structured 3 marks 🖼 Visual

(Paper 2, ____) RSTU is a parallelogram. SQT is an isosceles triangle. ∠URS is 76°. Find ∠SQT.

Q41 Structured 4 marks

(Paper 2, ____) Jane and Ella travelled from Town A to Town B. Jane started earlier at 1 p.m. and travelled at 85 km/h. She took 1 h 48 min. Ella started later and travelled at 90 km/h. She arrived at Town B at the same time as Jane. What time did Ella leave Town A? (Leave your answer in 12-hour clock)

Q42 Structured 4 marks

(Paper 2, ____) Ali, Ben and Devi had equal number of beads. Ali packed all his beads equally into 3 packets. Ben packed all his beads equally into 6 packets. Devi packed all her beads equally into 9 packets. 1 packet of Ali's beads, 3 packets of Ben's beads and 4 packets of Devi's beads added up to 759. How many beads did they have altogether?

Q43 Structured 4 marks

(Paper 2, ____) Shawn and Josh each had the same amount of syrup for making lemonade. The same amount of syrup was used for making each cup of lemonade. Shawn made 30 cups of lemonade and had 552 ml of syrup left. Josh made 6 cups of lemonade and had 1.2 litres of syrup left. (a) What was the volume of syrup needed to make 1 cup of lemonade? (b) What was the maximum number of cups of lemonade that can be made with the remaining syrup left from both the boys?

Q44 Structured 4 marks 🖼 Visual

(Paper 2, ____) A, B and C are the centres of Circle A, Circle B, and Circle C respectively. The radius of Circle A and Circle C is 12 cm, and the radius of Circle B is 8 cm. The length of BX is 9 cm and the perimeter of figure ABCDE is 102 cm. Find the area of the shaded figure.

Q45 Structured 4 marks

(Paper 2, ____) At a concert, the price of admission ticket of each adult was $120 and the price of admission ticket of each child was $70. On the first day, there were 1300 people. 640 of them were adults and the rest were children. On the second day, there were 880 adults at the concert and the number of children increased by 30%. (a) What was the percentage increase of the adults on the second day? (b) How much money was collected at the concert on the second day?

Q46 Structured 5 marks

(Paper 2, ____) During an event, Mrs Wang ordered 880 buns and tarts from a bakery. The cost of a tart was $1.50 and it was 3 times the cost of a bun. 3/5 of the tarts and 2/7 of the buns were eaten. The number of tarts and buns left was 550. (a) How many buns were eaten? (b) How much did Mrs Wang paid in total for the buns?

Q47 Structured 5 marks

(Paper 2, ____) The ratio of the number of pupils in 6H to the number of pupils in 6J was 4 : 9. 140 magazines were given to the pupils to be shared so that each pupil in 6H received 2 magazines while each pupil in 6J received 3 magazines. (a) How many pupils were there in 6J? (b) 66 2/3 % of the pupils in 6J had decided to give 8/9 of their magazines to the pupils in 6H to be shared out equally. What was the new number of magazines each of these pupils have in 6H after receiving them from the pupils in 6J?

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