P6 Mathematics SA2 2021 — Catholic High | Singapore Past Year Paper

Q: Which digit in 69.78 is in the tenths place?

B. 7. In 69.78, the digit after the decimal point is the tenths place. That digit is 7.

Q: Express 3050 cm in metres.

C. 30.5 m. 1 m = 100 cm, so 3050 cm ÷ 100 = 30.5 m.

Q: Mei paid $2.50 for 50 stickers. How much did each sticker cost?

A. 5¢. $2.50 = 250¢. 250¢ ÷ 50 = 5¢ per sticker.

Q: Which of the following is the likely mass of an oral digital thermometer?

C. 12 g. A typical oral digital thermometer has a mass of about 10–15 g, so 12 g is the most reasonable estimate.

Q: Each figure below is made up of 1 square and 4 identical equilateral triangles. 2 of the triangles in each figure are shaded. Which figure has a line of symmetry?

D. Figure 4. Only Figure 4 can be folded along a line so that the shaded triangles map exactly onto each other and the unshaded parts also coincide, giving a line of symmetry.

Q: MN is a straight line. Which of the following is true?

D. ∠p + ∠q = 180°. Since MN is a straight line, the angles on one side of MN that meet at the intersection must add up to 180°. Angles p and q lie on the same side of MN at the intersection, so ∠p + ∠q = 180°.

Q: A schedule of an on-line course is as shown. One activity leads to another without any break in between. Mrs Lee was 5 minutes late for the Zoom session. She left 10 minutes before the end of the Question-and-Answer session. How long did Mrs Lee attend the on-line course?

C. 100 min. Mrs Lee joined at 2.35 p.m. (5 min late) and left at 4.15 p.m. (10 min before the 4.25 p.m. end). 2.35 p.m. to 4.15 p.m. = 1 h 40 min = 100 min.

Q: Fann uses the recipe below to make biscuits. She has 1/2 kg of flour, 420 g of butter and 110 g of sugar. What is the greatest number of pieces of biscuit she can make?

A. 18. Recipe makes 9 pieces using 150 g flour, 100 g butter, 50 g sugar. Flour: 500 ÷ 150 = 3.33 batches → 3 batches. Butter: 420 ÷ 100 = 4.2 → 4 batches. Sugar: 110 ÷ 50 = 2.2 → 2 batches. Sugar is the limiting ingredient: 2 × 9 = 18 pieces.

Q: At a school, each pupil chose either Sports or Aesthetics as CCA. Figure 1 and Figure 2 show the pupils' choice for their CCA. What is the difference in the number of pupils who chose Sports as CCA and the number of pupils who chose Aesthetics as CCA?

D. 4. Total Sports = girls (Figure 1) + boys (Figure 2). Total Aesthetics = girls (Figure 1) + boys (Figure 2). Reading the bar charts and subtracting the two totals gives a difference of 4.

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

B. 7/29. 1/4 = 0.25. 9/35 ≈ 0.257 (>); 7/29 ≈ 0.241 ( ). Only 7/29 is smaller than 1/4.

Q1 MCQ 1 mark

Which digit in 69.78 is in the tenths place?

Q2 MCQ 1 mark

Express 3050 cm in metres.

Q3 MCQ 1 mark

Mei paid $2.50 for 50 stickers. How much did each sticker cost?

Q4 MCQ 1 mark 🖼 Visual

Which of the following is the likely mass of an oral digital thermometer?

Q5 MCQ 1 mark 🖼 Visual

Each figure below is made up of 1 square and 4 identical equilateral triangles. 2 of the triangles in each figure are shaded. Which figure has a line of symmetry?

Q6 MCQ 1 mark 🖼 Visual

MN is a straight line. Which of the following is true?

Q7 MCQ 1 mark 🖼 Visual

A schedule of an on-line course is as shown. One activity leads to another without any break in between. Mrs Lee was 5 minutes late for the Zoom session. She left 10 minutes before the end of the Question-and-Answer session. How long did Mrs Lee attend the on-line course?

Q8 MCQ 1 mark 🖼 Visual

Fann uses the recipe below to make biscuits. She has 1/2 kg of flour, 420 g of butter and 110 g of sugar. What is the greatest number of pieces of biscuit she can make?

Q9 MCQ 1 mark 🖼 Visual

At a school, each pupil chose either Sports or Aesthetics as CCA. Figure 1 and Figure 2 show the pupils' choice for their CCA. What is the difference in the number of pupils who chose Sports as CCA and the number of pupils who chose Aesthetics as CCA?

Q10 MCQ 1 mark

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

Q11 MCQ 2 marks 🖼 Visual

Tickets at $8 each. $2 discount for every purchase of 4 tickets. What is the percentage discount for the purchase of 10 tickets?

Q12 MCQ 2 marks

At a hawker centre, each table has either 3 or 5 chairs around it. The number of tables to the number of chairs is 7 : 25. What is the ratio of the number of tables with 5 chairs to that with 3 chairs?

Q13 MCQ 2 marks 🖼 Visual

Gabriel rented a board game set and it was overdue when he returned it. The payment for the overdue board game set was based on the charges shown below. He paid a total of $3.80. How many days was the board game set overdue?

Q14 MCQ 2 marks 🖼 Visual

25 people were asked to wrap a rice dumpling. The table below shows the number of people with the following times clocked. The first 6 people who wrapped the rice dumpling the fastest were given a prize each. Daphne won a prize. Which of the following statement(s) is/are true? A. 9 people needed at least 60 s to wrap a rice dumpling. B. The slowest time that Daphne could have clocked was 70 s. C. 36% of the people used less than 1 min to wrap a rice dumpling.

Q15 MCQ 2 marks 🖼 Visual

Felicia drew three circles, A, B and C, to form a figure. The ratio of the area of circle A to the area of circle B to the area of circle C is 1 : 9 : 4. 1/4 of the area of circle A is shaded. What fraction of the figure is shaded?

Q16 Open-ended 1 mark 🖼 Visual

Measure and write down the size of ∠x in the figure.

Q17 Open-ended 1 mark

Find the value of 4 ÷ 3/5. Give your answer as a mixed number.

Q18 Open-ended 1 mark

Maureen gave the cashier a $50 note to pay for a T-shirt. The cashier did not have any coins as small change, so Maureen gave her another 30 cents and received a $10 note as change. What was the cost of the T-shirt?

Q19 Open-ended 1 mark 🖼 Visual

Name the two roads that are parallel to each other.

Q20 Open-ended 1 mark 🖼 Visual

Mingfa was at the position marked '★'. After turning 90° anti-clockwise, he faced the airport. Which landmark was he facing before the turn?

Q21 Open-ended 2 marks

Find the value of 2 ÷ 7. Give your answer as a decimal, correct to 1 decimal place.

Q22 Open-ended 2 marks

Use all the digits 8, 0, 9, 2 to form the (a) smallest multiple of 5. (b) number closest to 9000.

Q23 Open-ended 2 marks

Some books were shared equally among 40 children at first. When 10 of them gave up their share of the books, the rest received 2 extra books each. How many books did each child get at first?

Q24 Open-ended 2 marks

Darryl baked some cookies. He sold 3/4 of the cookies at a fund raising event and ate 1/6 of the remaining cookies. He was left with 35 cookies. How many cookies did he bake?

Q25 Structured 2 marks 🖼 Visual

In the square grid below, ABC is a triangle. (a) Measure the side AB of the triangle and write down its length to the nearest cm. (b) Draw the corresponding height of the triangle with the side AC as its base.

Q26 Open-ended 2 marks 🖼 Visual

The number line below is marked at equal intervals. What is the value of X? Give your answer as a fraction in its simplest form.

Q27 Open-ended 2 marks

Kenneth deposits $8200 in a bank for one year. The interest rate is 2% per year. What is the total amount of money he will have in the bank at the end of one year?

Q28 Open-ended 2 marks 🖼 Visual

White squares and black squares are used to form figures that follow a pattern. The first three figures are shown below. How many white squares are used to form Figure 20?

Q29 Open-ended 2 marks 🖼 Visual

Kai glues sixteen 1-cm cubes to form the solid shown. He puts three such solids into an empty rectangular glass box as shown. What is the capacity of the glass box?

Q30 Open-ended 2 marks

Owen bought some pears, apples and oranges. The ratio of the number of pears to the number of apples was 8 : 11. There were 36 more oranges than pears and 12 more oranges than apples. How many apples did Owen buy?

Q31 Structured 2 marks 🖼 Visual

The square grid shows the position of points A, B, C, D, F and G. In the square grid, (a) point ____ is east of point ____. (b) point ____ is north-west of point ____.

Q32 Open-ended 2 marks

The total cost of 2 pens and a book is $55. The cost of a pen is 2/7 of the cost of a book. What is the cost of a book?

Q33 Structured 2 marks 🖼 Visual

In the figure, ABCD is a rectangle. DEGH is a square. Point H lies on the line BC. ∠ABG = 20° and ∠BHG = 17°. Each of the statements below is either true, false or not possible to tell from the information given. For each statement, put a tick (✓) to indicate your answer. Statements: ∠EGD = 45°; BHDG is a trapezium; ∠BHG = ∠CDH.

Q34 Open-ended 2 marks

During a promotion, a shop gave 6 free stickers for every 50 stickers bought. Don bought some stickers and got 210 stickers altogether. How many stickers would Don get for the same amount paid without the promotion?

Q35 Open-ended 2 marks

The total volume of grape juice in barrel A and barrel B is 7.4 ℓ. The total volume of grape juice in barrel B and barrel C is 9.7 ℓ. The volume of grape juice in barrel C is twice the volume of grape juice in barrel A. What is the average volume of grape juice in the three barrels?

Q36 Structured 3 marks 🖼 Visual

Wendy had a sum of money which she spent on transport, clothes, meals and games. The table shows the percentage of the money spent on each item. This is also represented by a bar graph but the amount of money spent for each item is not shown on the scale. The bar for the amount of money spent on games is also not drawn. (a) What was the ratio of the amount of money spent on transport to the amount of money spent on clothes to the amount of money spent on meals? Give your answer in the simplest form. (b) Draw the bar that represents the amount of money Wendy spent on games.

Q37 Structured 3 marks

Jack has $y for pocket money. Krishnan has thrice as much pocket money as Jack. Latiff has $10 less than Krishnan. (a) What is the total amount of pocket money the three boys have in terms of y? (b) The sum of Latiff's pocket money and Jack's pocket money is $50. What is the value of y?

Q38 Open-ended 3 marks 🖼 Visual

In the figure below, ABC is an equilateral triangle and CDE is an isosceles triangle with DC = DE. Point E lies on the side AB of the equilateral triangle. ∠CDE = 36° and ∠ECB = 321°. Find ∠EFC.

Q39 Open-ended 3 marks 🖼 Visual

The figure shows a square ABDE and a right-angled triangle BCD. AFC is a straight line. DC is twice the length of ED. The area of triangle ABF is 1/6 the area of the square. The area of triangle BCF is 48 cm². What is the length of each side of square ABDE?

Q40 Open-ended 3 marks 🖼 Visual

A square hall ABCD is fitted with a semi-circle stage as shown. The shaded stage has the side DC of the hall as its diameter and a perimeter of 40 m. The perimeter of the unshaded part of the hall is 64 m. What is the area of the shaded stage in terms of π?

Q41 Open-ended 4 marks

A box contained apples and pears. 4/5 of the fruits were apples and the rest were pears. After 3/4 of the fruits were removed, there were 1/8 of the apples and 30 pears left. How many fruits were there in the box at first?

Q42 Structured 4 marks 🖼 Visual

Cayden drained water from Tank A and Tank B using Tap A and Tap B respectively. For Tank A, he turned on Tap A partially at 11 00 and then fully 4 minutes later. For Tank B, he turned on Tap B fully at 11 04. He left both taps on until water was completely drained from each tank. The graphs below show the volume of water left in each tank for the period from 11 00 to 11 12. (a) At what time was the volume of water left the same in both the tanks? (b) Starting from 11 04, which tank, A or B, had a slower rate of drainage? How much water was drained from this tank from 11 04 to 11 12? (c) How many minutes did it take for Tank B to be completely drained of water after Tap B was turned on?

Q43 Structured 4 marks 🖼 Visual

Jeremy had a piece of paper ABCD in the shape of a parallelogram. He folded it along the line EF as shown below. ∠A = 117° (before folding) and ∠EFC (before folding) = 59°. (a) Find ∠x. (b) Find ∠y.

Q44 Structured 5 marks

Mrs Lim prepared 160 chicken wings and some nuggets for a party. At one point during the party, an equal number of chicken wings and nuggets were eaten. 25% of the chicken wings and 20% of the nuggets were left. She then increased the number of chicken wings. After that, there was a total of 65 chicken wings. (a) How many nuggets did Mrs Lim prepare for the party? (b) What was the percentage increase in the number of chicken wings after the same number of chicken wings and nuggets were eaten?

Q45 Structured 4 marks 🖼 Visual

Benson uses some wire to make the figure as shown. He made 2 identical wire structures and joined them with a piece of wire AB. Each wire structure was formed by a large semi-circle, a small semi-circle and 2 straight lines. (a) What is the radius of a small semi-circle? (b) Find the length of wire used to make the figure. Take π = 3.14.

Q46 Structured 5 marks 🖼 Visual

Cathy and David each had a piece of dough of the same mass at first. Cathy divided her dough into equal parts of mass 90 g and for each part, she used it to bake 2 star-shaped cookies. David also divided his dough into equal parts of mass 150 g and for each part, he used it to bake 6 heart-shaped cookies. There were 72 more heart-shaped cookies than star-shaped cookies in the end. (a) How many cookies did Cathy and David bake altogether? (b) David packed his cookies into 22 boxes. Some boxes contained 5 cookies while the rest contained 9 cookies. How many boxes contained 9 cookies?

Q47 Structured 4 marks 🖼 Visual

Mr Lee tries to cover a square floor with as many rectangular tiles of the same size as possible that follow a pattern as shown. The tiles are either white or grey. (a) What is the greatest possible number of tiles that Mr Lee can use to cover the floor? (b) Of the greatest possible number of tiles that Mr Lee can use to cover the floor, how many of the tiles are grey tiles?

P6 Mathematics SA2 2021 — Catholic High

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