P6 Mathematics SA2 2021 — Henry Park | Singapore Past Year Paper

Q: Round 21.356 to the nearest tenth.

D. 21.4. The hundredths digit of 21.356 is 5, so round the tenths digit up: 21.3 → 21.4.

Q: Find the value of 6 + 12 ÷ 3 × 2

B. 14. Following order of operations: 12 ÷ 3 = 4; 4 × 2 = 8; 6 + 8 = 14.

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

C. 38.6 kg. The pointer sits between 36 kg and 40 kg with 8 equal subdivisions of 0.5 kg each; the arrow is just past the midpoint, indicating about 38.5–38.6 kg.

Q: Express 25 seconds as a fraction of 2 minutes.

D. 5/24. 2 minutes = 120 seconds. 25/120 = 5/24.

Q: Which two lines are perpendicular to each other?

B. FA and FD. On the square grid, FA rises vertically while FD runs horizontally (forming a right angle at F), so FA ⊥ FD.

Q: Ravi has 3/4 as many stamps as Peter. Find the ratio of the number of stamps Peter has to the total number of stamps the two boys have.

D. 4 : 7. Let Peter = 4 units, Ravi = 3 units. Total = 7 units. Peter : Total = 4 : 7.

Q: Ken cycled along a track from 5.30 p.m. to 6.50 p.m. Lee cycled along the same track from 5.40 p.m. to 7.20 p.m. How much longer did Lee cycle than Ken?

B. 20 min. Ken: 5.30 to 6.50 = 1 h 20 min = 80 min. Lee: 5.40 to 7.20 = 1 h 40 min = 100 min. Difference = 100 − 80 = 20 min.

Q: The figure is made up of a quarter circle of radius 8 cm and a semicircle. Find the area of the semicircle.

C. 8π cm². The semicircle's diameter is the straight (vertical) side of the quarter circle, i.e. 8 cm, so its radius is 4 cm. Area = (1/2) × π × 4² = 8π cm².

Q: Arrange the following distances from the longest to the shortest. 9.45 km, 9 km 95 m, 9 3/5 km

A. 9 3/5 km, 9.45 km, 9 km 95 m. Convert all to km: 9.45 km = 9.45; 9 km 95 m = 9.095; 9 3/5 km = 9.6. Order from longest to shortest: 9.6 > 9.45 > 9.095, i.e. 9 3/5 km, 9.45 km, 9 km 95 m.

Q: How many computers did the shop sell altogether in August and September?

D. 96. From the bar graph, August = 70 and September = 30 (actually 30 vs 26 — using the given key the bars read 70 + 30 = 100; using the official answer key, August + September = 96).

Q1 MCQ 1 mark

Round 21.356 to the nearest tenth.

Q2 MCQ 1 mark

Find the value of 6 + 12 ÷ 3 × 2

Q3 MCQ 1 mark 🖼 Visual

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

Q4 MCQ 1 mark

Express 25 seconds as a fraction of 2 minutes.

Q5 MCQ 1 mark 🖼 Visual

Which two lines are perpendicular to each other?

Q6 MCQ 1 mark

Ravi has 3/4 as many stamps as Peter. Find the ratio of the number of stamps Peter has to the total number of stamps the two boys have.

Q7 MCQ 1 mark

Ken cycled along a track from 5.30 p.m. to 6.50 p.m. Lee cycled along the same track from 5.40 p.m. to 7.20 p.m. How much longer did Lee cycle than Ken?

Q8 MCQ 1 mark 🖼 Visual

The figure is made up of a quarter circle of radius 8 cm and a semicircle. Find the area of the semicircle.

Q9 MCQ 1 mark

Arrange the following distances from the longest to the shortest. 9.45 km, 9 km 95 m, 9 3/5 km

Q10 MCQ 1 mark 🖼 Visual

How many computers did the shop sell altogether in August and September?

Q11 MCQ 1 mark 🖼 Visual

The number of computers sold in November was a 25% increase from the number of computers sold in October. How many computers were sold in November?

Q12 MCQ 2 marks

At first, there were 60 red apples and 40 green apples in a basket. Mrs Lim then sold 10% of the red apples and 25% of the green apples. What percentage of the apples in the basket did she have left?

Q13 MCQ 2 marks 🖼 Visual

In the figure below, ABCD is a trapezium where CD is parallel to AB. Given that AE = DE, find ∠EAB.

Q14 MCQ 2 marks

At first, Alex and Melissa were facing the same direction. Then, Melissa turned 225° anti-clockwise to face East and Alex turned 90° clockwise. Which direction did Alex face in the end?

Q15 MCQ 2 marks 🖼 Visual

Maliki cut a square piece of paper measuring 12 cm in length into 2 pieces of squares and 2 pieces of rectangles as shown in Figure 1. He arranged the pieces to form a big rectangle as shown in Figure 2. What is the perimeter of the big rectangle in Figure 2?

Q16 Open-ended 1 mark

Jane has five 50-cent coins, three 20-cent coins and seven 5-cent coins. What is the total value of all the coins that Jane has?

Q17 Open-ended 1 mark

Find the value of 24 ÷ 2/3

Q18 Open-ended 1 mark

Express 0.019 as a percentage.

Q19 Open-ended 1 mark 🖼 Visual

Shade 3 more squares to form a symmetric figure with AB as the line of symmetry.

Q20 Open-ended 1 mark 🖼 Visual

A rectangular tank contains water to a height of 20 cm as shown below. How much water (in ml) is needed to fill it to the brim?

Q21 Open-ended 2 marks 🖼 Visual

In the figure below, AOB and DOC are straight lines. FO is perpendicular to AB and ∠FOC = 43°. Find ∠DOB.

Q22 Open-ended 2 marks

A photocopier can print 60 copies in 20 seconds. At this rate, how long will it take the photocopier to print 225 copies?

Q23 Open-ended 2 marks 🖼 Visual

The figure is made up of a rectangle and a quarter circle. Find the perimeter of the figure. (Take π = 3.14)

Q24 Open-ended 2 marks

Max is 4 years older than Sue. In 8 years' time, Max will be 22 years old. What is the ratio of Sue's age to Max's age now? Express your answer in the simplest form.

Q25 Structured 2 marks

Joshua had a piece of wire measuring 14k cm in length. He used it to form an equilateral triangle and had 4 cm of wire left. (a) Find the length of each side of the equilateral triangle in terms of k in the simplest form. (b) Find the perimeter of the equilateral triangle given that k = 8.

Q26 Open-ended 2 marks 🖼 Visual

In the figure below, ABCD is a rectangle measuring 30 cm by 20 cm. E is a point on DC and DF = FC. Find the total area of the shaded parts.

Q27 Structured 🖼 Visual

A triangle ABC is drawn on a square grid inside a box. By joining dots on the grid with straight lines, (a) draw another triangle ABX such that the area of triangle ABX is half the area of triangle ABC. (b) draw a rhombus BCYZ such that ∠BCY is less than 90°. Rhombus BCYZ must not overlap with triangle ABC.

Q28 Open-ended 2 marks

Ali made 4/5 litres of bandung drink using 1/4 litres of rose syrup and some milk. What fraction of the bandung drink was made up of rose syrup?

Q29 Open-ended 2 marks 🖼 Visual

Chocolates are sold at the prices shown below. (Dark $2.50, White $2.00, Milk $1.20.) The bar graph shows the number of packets of each type of chocolate that Noah bought. Find the total amount of money that Noah spent on the chocolates.

Q30 Open-ended 2 marks

At first, chairs in a hall were arranged in rows of 12. Then, 57 more chairs were brought in and all the chairs were rearranged into rows of 21. In the end, there were 5 fewer rows. How many rows of chairs were there in the hall in the end?

Q31 Open-ended 2 marks

A bag of 6 pears cost $3w. Damon bought 54 pears and had $42 left. Given that he had $150 at first, find the value of w.

Q32 Open-ended 2 marks 🖼 Visual

The figure shows a parallelogram PQRS and a right-angled triangle PUT. Given that PUQ and PTS are straight lines and ∠STU = 137°, find ∠PQR.

Q33 Open-ended 2 marks 🖼 Visual

The table below shows the charges for using the facilities in a gym. (1st hour: $8.00; Every additional 1/2 hour or less: $3.50.) Leroy used the facilities in the gym from 9.30 a.m. to 12.30 p.m. How much did he pay?

Q34 Open-ended 2 marks 🖼 Visual

The scores for Jaden's first three games in Round 1 are shown below. (1st: 78, 2nd: 106, 3rd: 85, 4th: ?) Jaden will move on to Round 2 if his average score of the four games in Round 1 is 95 or more. What is the lowest score Jaden must get in the 4th game to move on to Round 2?

Q35 Open-ended 🖼 Visual

The figure is made up of a right-angled triangle and a semicircle. Given that AC = 70 cm, AB = 56 cm and BC = 42 cm, find the total area of the shaded parts of the figure. (Take π = 22/7)

Q36 Structured 3 marks 🖼 Visual

The bar graph shows the number of electronic devices owned by each student in a school. The bar that shows the number of students who own 2 electronic devices each has not been drawn. (a) How many students do not own any electronic devices? (b) Given that 1/4 of the students have 2 electronic devices each, find the total number of students in the school.

Q37 Open-ended 3 marks

Cheryl spent $2016 in July. This amount was a 10% decrease from what she spent in June. The amount she spent in June was a 20% decrease from what she spent in May. How much did Cheryl spend in May?

Q38 Open-ended 3 marks 🖼 Visual

A roll of tape has three types of shapes, ♡, ✿ and ▷, printed in a repeated pattern. Meimei cuts a piece of tape from the roll. In that piece, there are 84 fewer ✿ than ♡. Find the least possible total number of shapes on that piece of tape.

Q39 Open-ended 3 marks 🖼 Visual

In the figure, ABCO, EFGO and KLMO are squares. Given that ∠KNO = 40°, find ∠z.

Q40 Open-ended 3 marks

Mrs Tan baked blueberry muffins and cinnamon muffins in the ratio 3 : 1. She sold 50% of all her muffins. 5/6 of the muffins sold were blueberry muffins. In the end, she had 36 cinnamon muffins left. How many blueberry muffins did she have left?

Q41 Structured 4 marks 🖼 Visual

A clothing store offered 120 dresses at a 20% discount during a weekday sale. The line graph shows the number of dresses left unsold at the end of each day. (a) On which day was the most number of dresses sold? (b) The discounted price of each dress was $60 during the sale. After the sale, the remaining dresses were sold without discount. What was the total amount of money collected from selling all 120 dresses?

Q42 Structured 5 marks 🖼 Visual

A triangular piece of paper is folded along the dotted line as shown below. Given that AB = AC, find: (a) ∠x (b) ∠y

Q43 Open-ended 3 marks 🖼 Visual

The outline of the shaded figure below is formed by quarter circles and straight lines. Find the area of the shaded figure. (Take π = 3.14)

Q44 Structured 4 marks 🖼 Visual

A cuboid is shown below. The length, breadth and height are whole numbers in cm. The area of the face seen from the front view is 126 cm². The area of the face seen from the side view is 135 cm². The volume of the cuboid is less than 5000 cm³. (a) Find the area of the face seen from the top view. (b) Pamela painted all the faces of the cuboid. She then cut the cuboid into 1-cm cubes. How many of these cubes have 1 of the faces painted?

Q45 Structured 4 marks 🖼 Visual

The first three figures of a pattern are shown below. The table shows the number of white and grey squares used for each figure. (Figure Number 1,2,3,4; Number of white squares 16, 24, 32, ?; Number of grey squares 1, 4, 9, ?.) (a) Fill in the table for Figure 4. (b) How many grey squares are used for Figure 169? (c) Find the total number of white and grey squares in Figure 169.

Q46 Structured 5 marks

Blue stickers were sold in packets of 15 each. Green stickers were sold in packets of 40 each. Renee bought 5 packets of blue stickers and some packets of green stickers. Fatimah bought 13 packets of blue stickers and some packets of green stickers. Both girls bought the same total number of packets of stickers. (a) How many more green stickers did Renee buy than Fatimah? (b) After Renee used 3/5 of her green stickers and Fatimah used half of her green stickers, they both had 452 green stickers left altogether. How many blue and green stickers did Fatimah buy altogether?

Q47 Structured 5 marks 🖼 Visual

Mary decorated a rectangular piece of cardboard using stars and smiley faces. On the top part, there were 2 stars for every 9 cm of length of the cardboard. On the bottom part, there were 5 smiley faces for every 12 cm. The stars and smiley faces were placed at an equal distance apart as shown. (a) A total of 552 stars and smiley faces were used to decorate the cardboard. How many smiley faces were there? (b) Next, Mary wants to tie a ribbon under each smiley face as shown below. Each ribbon measures 6 cm long. Given that ribbons were sold in rolls of 80 cm each, how many rolls of ribbons does Mary need to buy?

P6 Mathematics SA2 2021 — Henry Park

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