P6 Mathematics SA1 2016 — Catholic High

Q: Which one of the following digits in 9.215 is in the tenths place?

B. 2. In 9.215 the digit after the decimal point is the tenths place, which is 2.

Q: 47 405 pupils attended the National Day Parade. Express this number to the nearest thousand.

A. 47 000. The hundreds digit is 4 (<5), so round down: 47 405 rounds to 47 000.

Q: Which one of the following is likely to be the mass of a can of soft drink?

C. 300 g. A typical unopened can of soft drink has a mass of about 300 g.

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

A. 0.8. Comparing the tenths digit, 0.8 has 8 tenths, larger than 0.72, 0.098 and 0.605.

Q: Which one of the following is closest to the reading shown on the weighing scale below?

B. 34.6 kg. The scale shows major marks at 32, 34, 36, 38 kg with small divisions of 0.5 kg between them. The pointer sits just past 34, at about 34.6 kg.

Q: What is the value of 6 − 1 + 5 − 4 × (12 ÷ 4 − 3)?

C. 10. Brackets: 12÷4−3 = 3−3 = 0. Then 4×0 = 0. So 6−1+5−0 = 10.

Q: Jay cuts three figures shown below along the dotted lines. Figure 1 is a parallelogram, Figure 2 is a rhombus and Figure 3 is a square. Which of the figures above consist(s) of at least one isosceles triangle after cutting?

D. Figure 2 and 3 only. Cutting a rhombus along a diagonal gives two isosceles triangles (all sides equal). Cutting a square along a diagonal gives two isosceles right-angled triangles. The parallelogram (6 cm × 5 cm, unequal sides) gives scalene triangles. So only Figures 2 and 3.

Q: The amount of time taken by 4 pupils to complete their homework is given in the table below. Who took the longest time to complete his homework?

C. Isaac. Convert to minutes: Azel 1.5 h = 90 min; Clayton 1 3/5 h = 96 min; Isaac 1 h 45 min = 105 min; Matthias 95 min. Isaac took the longest.

Q: In the square grid below, A, B, C, D and E are five points on the ground. Which one of the following statements is correct?

D. E is south-east of D. With North pointing up, E lies below and to the right of D, so E is south-east of D. The other statements give wrong compass directions for the plotted points.

Q: A pail was half-filled with water. 4 cups of water were added to completely fill the pail. What was the ratio of the volume of a cup of water to the volume of the pail?

A. 1 : 8. 4 cups fill the empty half of the pail, so a full pail = 8 cups. Thus 1 cup : 1 pail = 1 : 8.

P6 Mathematics 2016 SA1 48 questions 100 marks

Source: Catholic High, 2016

This P6 Mathematics SA1 paper from Catholic High (2016) covers money, measurement, geometry and angles, patterns and algebra, fractions and ratio 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

Which one of the following digits in 9.215 is in the tenths place?

Q2 MCQ 1 mark

47 405 pupils attended the National Day Parade. Express this number to the nearest thousand.

Q3 MCQ 1 mark 🖼 Visual

Which one of the following is likely to be the mass of a can of soft drink?

Q4 MCQ 1 mark

Which one of the following numbers is the largest?

Q5 MCQ 1 mark 🖼 Visual

Which one of the following is closest to the reading shown on the weighing scale below?

Q6 MCQ 1 mark

What is the value of 6 − 1 + 5 − 4 × (12 ÷ 4 − 3)?

Q7 MCQ 1 mark 🖼 Visual

Jay cuts three figures shown below along the dotted lines. Figure 1 is a parallelogram, Figure 2 is a rhombus and Figure 3 is a square. Which of the figures above consist(s) of at least one isosceles triangle after cutting?

Q8 MCQ 1 mark 🖼 Visual

The amount of time taken by 4 pupils to complete their homework is given in the table below. Who took the longest time to complete his homework?

Q9 MCQ 1 mark 🖼 Visual

In the square grid below, A, B, C, D and E are five points on the ground. Which one of the following statements is correct?

Q10 MCQ 1 mark

A pail was half-filled with water. 4 cups of water were added to completely fill the pail. What was the ratio of the volume of a cup of water to the volume of the pail?

Q11 MCQ 2 marks

Both Mr Lim and Mr Tan stay in the same block of flats. Mr Lim's flat is on the 21st storey. Mr Tan's flat is on the middle storey of the building which is lower than Mr Lim's. There are 8 storeys between their flats. The 1st storey of the block is a void deck. What is the highest storey in the block?

Q12 MCQ 2 marks

10 boys had to fold some paper hearts. 2 of them fell ill and the rest of the boys had to fold 4 more paper hearts each. How many paper hearts did they have to fold altogether?

Q13 MCQ 2 marks

Malcolm had some milk chocolates and dark chocolates. He ate an equal amount of milk and dark chocolates. He had 5/7 of the milk chocolates and 2/5 of the dark chocolates left. What fraction of the chocolates did Malcolm eat?

Q14 MCQ 2 marks

8 lamp posts were put up along a road at an equal distance. The distance between the first and the fifth lamp post was 40 m. What was the distance between the first and the eighth lamp post?

Q15 MCQ 2 marks

Jared bought some sweets to give to his friends. His sister ate 11 of them. His mother gave him the same number of sweets that he had left. He packed the sweets into 8 gift bags. Each bag contained 13 sweets. How many sweets did Jared buy?

Q16 Open-ended 1 mark

Find the value of 96.4 ÷ 40.

Q17 Open-ended 1 mark

What is the value of 4n/3 − n when n = 6?

Q18 Open-ended 1 mark 🖼 Visual

BD and EC are straight lines. Find ∠AOE.

Q19 Open-ended 1 mark

Jon received 8 coins with a total value of $2. The coins were a mixture of $1, 20¢ and 10¢ coins. How many 20¢ coins did he receive?

Q20 Open-ended 1 mark

Mrs Lee deposits $2800 in a bank for 1 year. The bank offers an annual interest rate of 1%. What is the total amount of money she will have in the bank at the end of 1 year?

Q21 Open-ended 1 mark

2/3 of a bag of marbles was given to some children. Each child received 1/9 of the marbles in the bag. How many children were there?

Q22 Open-ended 1 mark

Michael has twice as much money as Lionel. Lionel has 3/5 as much money as Fred. Find the ratio of Michael's money to the ratio of Fred's money.

Q23 Open-ended 1 mark 🖼 Visual

The display board at a car park showing the parking charges is shown below. However, the charges after 5 p.m. could not be read as the paint had peeled off. Susie parked her car from 3 p.m. to 5.45 p.m. on the same day. She paid a total sum of $4.80. How much was the parking charges per 1/2 hour or part thereof after 5 p.m.?

Q24 Open-ended 1 mark 🖼 Visual

Use the figure below to answer questions 24 and 25. Measure and write down the size of ∠RQP.

Q25 Open-ended 1 mark 🖼 Visual

OP is parallel to RQ. Measure the height of triangle PQR given its base is RQ.

Q26 Structured 2 marks

Write three hundred and two thousand and forty-one in figures.

Q27 Structured 2 marks 🖼 Visual

The figure below shows 2 wheels with centres A and B. A and B are 454 cm apart from each other at first. Both wheels have a radius of 7 cm each. The wheel with centre B starts to turn along the straight line XY towards the wheel with centre A which does not move. How many complete revolutions must the wheel with centre B make before it touches the other wheel with centre A? Take π = 22/7.

Q28 Structured 2 marks

Samuel had a total of 30 nuggets and fish balls at first. He exchanged all his nuggets for fish balls. He had 48 fish balls after exchanging every 1 nugget for 2 fish balls. How many fish balls did he have at first?

Q29 Structured 2 marks 🖼 Visual

ABCD is a square. PCD and OCD are triangles. What fraction of the square ABCD is shaded?

Q30 Structured 2 marks 🖼 Visual

Joel used black and white square tiles to form figures that follow a pattern. The first 4 figures are shown below. In figure 8, he used 33 black tiles. How many white tiles did he use to form figure 8?

Q31 Structured 2 marks

(Paper 2, ____) Helen spent $3 more than Mary during recess. They spent $k in total. How much did Helen spend? Give your answer in terms of k.

Q32 Structured 2 marks 🖼 Visual

(Paper 2, ____) Mrs Lim made red bean soup using the recipe below (For 6 bowls: 250 g red beans, 50 g sugar, 1.2 ℓ water). She had 750 g of red beans, 210 g of sugar and 4/3 ℓ of water. How many bowls of red bean soup could she make at most?

Q33 Structured 2 marks

(Paper 2, ____) Alan arranged to meet a friend one afternoon. He arrived 15 minutes earlier than the meeting time. His watch showed 12.54 p.m. His watch was 9 minutes faster than the actual time. What was the actual meeting time?

Q34 Structured 2 marks

(Paper 2, ____) 1 pen and 2 correction tapes cost $9.10. 2 pens and 1 correction tape cost $8.00. How much is the cost of 1 pen?

Q35 Structured 2 marks 🖼 Visual

(Paper 2, ____) In the square grid below, (a) draw two straight lines to form a symmetric figure with XY as the line of symmetry; (b) draw a line QS where QS is perpendicular to PQ, QS = QP and QS does not cross the line XY.

Q36 Structured 3 marks

(Paper 2, ____) A group of pupils had an average mass of 40 kg. 2 pupils with an average mass of 45 kg joined the group. The average mass of the group of pupils became 42 kg. How many pupils were there in the group at first?

Q37 Structured 3 marks 🖼 Visual

(Paper 2, ____) The line graph below shows the number of cars sold from July to December. (a) What percentage of the total number of cars sold from July to December was sold in the month of October? (b) What was the percentage decrease in the number of cars sold from the month of November to December? Give your answer correct to 1 decimal place.

Q38 Structured 3 marks

(Paper 2, ____) Abel and Benjamin spent $802 altogether. 1/4 of Abel's spending was $41 more than 1/7 of Benjamin's spending. How much more did Benjamin spend than Abel?

Q39 Structured 3 marks 🖼 Visual

(Paper 2, ____) Special Offer! Cupcake at $1.70 each. Buy 2 cupcakes and get the 3rd one at half price. Xavier has $29. What is the greatest number of cupcakes he can buy?

Q40 Structured 3 marks

(Paper 2, ____) Caylen used some string to tie 24 small parcels. He used the same amount of string to tie 16 large parcels. Each large parcel used 70 cm more string than a small parcel. How many metres of string did Caylen use altogether?

Q41 Structured 4 marks 🖼 Visual

(Paper 2, ____) In the figure, ABDE is a trapezium and ABC is an isosceles triangle. ∠BAE = 40°, ∠CBD = 20° and ∠CDE = 89°. (a) Find ∠BCA. (b) Find ∠AED.

Q42 Structured 4 marks

(Paper 2, ____) The ratio of Alvin's savings to Bernard's savings was 3 : 11 after Alvin gave 1/10 of his savings to Bernard. Both later spent the same amount of money at a book fair. In the end, the ratio of Alvin's savings to Bernard's savings became 1 : 9 and Bernard had $264 more than Alvin. (a) What was the ratio of Alvin's savings to Bernard's savings at first? (b) How much savings did Alvin have at first?

Q43 Structured 4 marks 🖼 Visual

(Paper 2, ____) 2 small rectangles are cut out from a rectangular piece of paper along the dotted lines as shown below. The breadth of the paper is 15 cm. The perimeter of the paper after cutting is 82 cm. (a) What is the length of the rectangular paper before the cutting? (b) What is the area of the remaining paper after the cutting?

Q44 Structured 4 marks

(Paper 2, ____) Ray packs some egg tarts into 6 small boxes and 8 large boxes. A large box can hold 5 more egg tarts than a small box. 1/4 of the tarts is packed into small boxes. (a) How many more small boxes would Ray use if he decides to pack the egg tarts in all the large boxes into small boxes? (b) How many egg tarts are there in each large box?

Q45 Structured 4 marks

(Paper 2, ____) Mr Fong and his 7 family members ate at a restaurant and paid $256.80. He had been given a 20% discount on the usual price. The payment included a 7% GST on the discounted price. What was the usual price of the dinner per person, without GST?

Q46 Structured 5 marks 🖼 Visual

(Paper 2, ____) Ryan draws a border along the four sides of a drawing paper. He decorates it with 8 identical shaded quarter circles and 6 identical shaded semicircles as shown below. The perimeter of the drawing paper is 84 cm. (a) What is the width of the border? (b) Find the area of the shaded part of the border. (c) Find the perimeter of the shaded part of the border? Take π = 3.14.

Q47 Structured 5 marks 🖼 Visual

(Paper 2, ____) In a bookshop, small photo albums and big photo albums were wrapped in bundles of 5 albums and 3 albums respectively. Each bundle of small photo albums had a width of 8 cm and each bundle of big photo albums had a width of 12 cm. The photo albums were arranged from one end to the other end of a shelf with no gap as shown below. (a) What could be the shortest possible length of the shelf? (b) What fraction of the total number of photo albums was small photo albums? Give your answer in the simplest form. (c) There were 54 more small photo albums than big photo albums on the shelf. How many photo albums were there altogether?

Q48 Structured 5 marks 🖼 Visual

(Paper 2, ____) Stephen has an open rectangular box as shown below (35 cm long, 8 cm wide, 20 cm tall). He has 980 1-cm cubes to pack into the box. He arranges the cubes to cover the base of the box completely before building another layer on top of it and continues until all the cubes are used up. (a) How many complete layers of the base does he have in the end? (b) What fraction of the box is packed with 1-cm cubes? (c) Stephen decides to re-arrange the cubes to touch only the inside of the box. How many more cubes does he need to completely touch the inside of the box?

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