P6 Mathematics SA1 2017 — Tao Nan

Q: Round 83 729 to the nearest thousand.

C. 84 000. The hundreds digit is 7, which is 5 or more, so round the thousands digit up: 83 729 rounds to 84 000.

Q: Express 2 5/125 as a decimal.

B. 2.040. 5/125 = 1/25 = 0.04, so 2 5/125 = 2 + 0.04 = 2.040.

Q: Which of the following is the same as 10 km 36 m?

C. 10 036 m. 10 km = 10 000 m, so 10 km 36 m = 10 000 + 36 = 10 036 m.

Q: After spending 30% of his savings on a computer, Lionel still has $2 100 left. How much did the computer cost?

B. $900. Remaining 70% = $2 100, so 100% = $3 000. Computer = 30% of $3 000 = $900.

Q: 300 people attended a concert. 60 were children. There was an equal number of men and women. What percentage of the people at the concert were men?

B. 40%. Adults = 300 - 60 = 240. Equal men and women, so men = 120. 120/300 × 100% = 40%.

Q: Which two angles add up to 180°?

B. ∠a + ∠d. ∠a and ∠d are interior angles on the same side of the transversal between the parallel lines (co-interior angles), which sum to 180°.

Q: What is the quotient when 93 is divided by 4?

B. 23. 93 ÷ 4 = 23 remainder 1. The quotient is 23.

Q: Sulin was facing the field at first. She then turned 90° clockwise and made another 135° turn anti-clockwise. Where will she be facing now?

A. Foyer. Facing Field (top). Turning 90° clockwise faces Canteen (right). Turning 135° anti-clockwise is three 45° steps back (Canteen → upper-right → Field → Foyer), ending facing the Foyer.

Q: CLASSCLASSCLASS... ... What will be the 209th letter in the pattern above?

D. S. The block 'CLASS' has 5 letters and repeats. 209 ÷ 5 = 41 remainder 4. The 4th letter of CLASS is S.

Q: Ahmad spent 1/2 of his monthly allowance. He donated 3/5 of the remainder to a charity and saved the rest. Find the ratio of the amount saved to the amount spent.

B. 2 : 5. Remainder after spending = 1/2. Donated = 3/5 × 1/2 = 3/10. Saved = 2/5 × 1/2 = 1/5 = 2/10. Spent = 1/2 = 5/10. Saved : Spent = 2 : 5.

P6 Mathematics 2017 SA1 48 questions 100 marks

Source: Tao Nan, 2017

This P6 Mathematics SA1 paper from Tao Nan (2017) covers money, percentage, measurement, ratio, average, rate and speed 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

Round 83 729 to the nearest thousand.

Q2 MCQ 1 mark

Express 2 5/125 as a decimal.

Q3 MCQ 1 mark

Which of the following is the same as 10 km 36 m?

Q4 MCQ 1 mark

After spending 30% of his savings on a computer, Lionel still has $2 100 left. How much did the computer cost?

Q5 MCQ 1 mark

300 people attended a concert. 60 were children. There was an equal number of men and women. What percentage of the people at the concert were men?

Q6 MCQ 1 mark 🖼 Visual

Which two angles add up to 180°?

Q7 MCQ 1 mark

What is the quotient when 93 is divided by 4?

Q8 MCQ 1 mark 🖼 Visual

Sulin was facing the field at first. She then turned 90° clockwise and made another 135° turn anti-clockwise. Where will she be facing now?

Q9 MCQ 1 mark

CLASSCLASSCLASS... ... What will be the 209th letter in the pattern above?

Q10 MCQ 1 mark

Ahmad spent 1/2 of his monthly allowance. He donated 3/5 of the remainder to a charity and saved the rest. Find the ratio of the amount saved to the amount spent.

Q11 MCQ 2 marks

Mr Lim bought 2 black markers and 8 red pens for $15. A black marker cost $1.50 more than a red pen. What was the cost of each red pen?

Q12 MCQ 2 marks

The average mass of Ali and Benny is 45 kg. Ali weighs 10 kg heavier than Benny. Find Benny's mass.

Q13 MCQ 2 marks

1/3 of a class of pupils are girls. 1/6 of the boys wear spectacles. There are 4 boys who wear spectacles. How many pupils are there in the class?

Q14 MCQ 2 marks

How many fourths are there in 12 3/4?

Q15 MCQ 2 marks

Andy, Bala and Charlie shared $840. Andy received 10% more than Bala while Charlie received 30% less than Bala. How much did Bala receive?

Q16 Open-ended 1 mark

Find the value of 196 ÷ 25. Give your answer as a fraction in the simplest form.

Q17 Open-ended 1 mark

Find the value of 4/5 x (48 - 30 x 3/5) ÷ 2.

Q18 Open-ended 1 mark 🖼 Visual

What is the missing number in the box? Apples : Oranges 9 : 15 24 : ?

Q19 Open-ended 1 mark 🖼 Visual

The graph shows the number of ice cream cones sold during the weekdays. Find the percentage of ice cream cones sold on Monday and Friday.

Q20 Open-ended 1 mark

The average mass of a pile of 12 books is 700 g. One book of mass 1300 g and another book of mass 1100 g were removed from the pile. What is the average mass of the remaining 10 books?

Q21 Open-ended 1 mark 🖼 Visual

The table below shows the mark ranges of P6 pupils for Mathematics. How many pupils scored at least 75 marks?

Q22 Open-ended 1 mark

Find the value of 57.25 x 8.

Q23 Open-ended 1 mark

For a learning journey, 332 pupils and 18 teachers travelled to the Science Centre on buses. Each bus had a seating capacity of 40. What is the minimum number of buses required for the learning journey?

Q24 Open-ended 1 mark

For every 7 books that Lydia reads, she gets 3 stickers. How many stickers will she get if she reads 56 books?

Q25 Open-ended 1 mark

Kumar is k years old. His sister is 3 years younger than him. What will their total age be in 5 years' time in terms of k?

Q26 Open-ended 2 marks

The volume of a cube is 27 cm³. Find the total surface area of the cube.

Q27 Open-ended 2 marks 🖼 Visual

Given ABDE is a square, AC is a straight line and BCD is an equilateral triangle. Find ∠a.

Q28 Open-ended 2 marks 🖼 Visual

The bicycle rental rate at 'Rent & Cycle' is as shown below. First hour: $8 Every 1 hour or part thereof: $7 Xiaoming rented a bicycle from 10.30 a.m. to 2.15 p.m. How much did he have to pay in total?

Q29 Open-ended 2 marks 🖼 Visual

A wire of 100 cm is bent to form four squares as shown below. Find the length of AB.

Q30 Open-ended 2 marks

Siti receives $5 while Aishah receives $5.40 for their daily pocket money. They both spent $3 each day and saved the rest of the money. How many days would have passed when Aishah had saved $6 more than Siti?

Q31 Open-ended 2 marks

At a sale, the price of a pair of shoes was $79 after a 20% discount. Find the price of the pair of shoes before the discount.

Q32 Open-ended 2 marks

Find the value of 48/a x (9 - a) when a = 3.

Q33 Open-ended 2 marks

Alex had 5 1/4 ℓ of water. He had 2 3/5 ℓ of water left after watering 53 pots of plants. How much water did he use for each pot of plant?

Q34 Open-ended 2 marks

There were 18 lines drawn at equal intervals from one end to the other end of a corridor. The distance between the first three lines was 120 cm. What was the distance between the 5th line and the last line?

Q35 Open-ended 2 marks

Ahmad had 23 comic books more than Sam. When Sam gave Ahmad 8 comic books, Ahmad had 4 times as many comic books as Sam. How many comic books did Sam have at first?

Q36 Structured 3 marks

Bala is 11 years old. His father will be 3 times as old as him in 8 years' time. How old is Bala's father now?

Q37 Structured 3 marks

The number of $10-notes Caili has is 40% of the number of $2-notes that she has. There are 6n more $2-notes than $10-notes. (a) Express the number of $10-notes in terms of n. (b) How much money does Caili have in $10-notes when n = 7?

Q38 Structured 3 marks 🖼 Visual

Jeff plans to take his 2 friends and 3 cousins to The Lion's Journey Musical. He has a budget of $950 to spend for the musical. He wants to buy the VIP seats for his friends. What is the best type of seats he can get for himself and his cousins with the remaining money?

Q39 Structured 3 marks

Peter went to watch a movie at 2.25 p.m. The duration of the movie was 2 h 23 min. After the movie, Peter walked and reached home at 5.33 p.m. How long did Peter take to reach home?

Q40 Structured 3 marks 🖼 Visual

The line graph shows the number of story books read by pupils from January to May. (a) What was the average number of books read in a month? (b) Find the percentage decrease in the number of story books read from March to April.

Q41 Structured 4 marks

There are some fiction books and 1350 non-fiction books in a library. After increasing the number of non-fiction books by 20%, the ratio of fiction to non-fiction books is 1 : 4. How many fiction books must be added so that there will be an equal number of fiction and non-fiction books?

Q42 Structured 4 marks

Mother bought a tin of milk powder. She used an equal amount of milk powder each day. At the end of the 15th day, 1/4 of the tin was left. At the end of the 18th day, the amount of milk powder left was 120 g. Find the amount of milk powder in the tin at first.

Q43 Structured 4 marks

The average height of 5 pupils is 1.43 m. When Tina and Xiuli joined the group, the average height became 1.35 m. Tina is taller than Xiuli by 8 cm. (a) Find the average height of Tina and Xiuli. (b) Find Tina's height.

Q44 Structured 4 marks

Amelia had some money. She spent 30% of it on books and 3/7 of the remainder on clothes. After receiving $800 from her parents, she then had 40% more money than what she had at first. How much money did Amelia have at first?

Q45 Structured 4 marks

At a construction site, concrete is made by mixing water, cement and sand in the ratio 1 : 2 : 3. (a) If 100 ℓ of water was used in the mixture, what is the volume of concrete made? Leave your answer in cm³. (b) If all of the concrete is used to make a straight pavement of width 1 m and height 12 cm, how long would the pavement be?

Q46 Structured 5 marks 🖼 Visual

In the diagram below, TUW // SYX and VY = VX. ∠SYW = 137° and ∠RYV = 152°. (a) Find ∠UVW. (b) Find ∠UWY.

Q47 Structured 5 marks

In Company X, the ratio of the number of women to the number of men is 3 : 1. In Company Y, the ratio of the number of women to the number of men is 2 : 1. The number of workers in Company X is 2/3 the number of workers in Company Y. (a) Find the ratio of the number of men in Company X to the number of men in Company Y. (b) When 40 women left Company X to join Company Y, the ratio of the number of women to the number of men in Company Y became 51 : 25. Find the number of women in Company Y now.

Q48 Structured 5 marks 🖼 Visual

The diagram below shows 4 figures formed by shaded and unshaded squares. Complete the table. (a) Find the number of shaded squares in Fig. 5. (b) Find the number of unshaded squares in Fig. 6. (c) How many unshaded squares are there in Fig. 20?

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