P6 Mathematics SA2 2014 — Methodist Girls

Q: Which of the following is the same as 3/50 m?

C. 6 cm. 3/50 m = 0.06 m. Since 1 m = 100 cm, 0.06 m = 6 cm.

Q: Which of the following fraction is the smallest?

D. 7/11. Converting to decimals: 7/9 ≈ 0.778, 9/11 ≈ 0.818, 5/7 ≈ 0.714, 7/11 ≈ 0.636. The smallest is 7/11.

Q: Rani took 18 min to jog 3 km. What was her average speed in km/h?

B. 10 km/h. Speed = 3 km ÷ 18 min = 1 km per 6 min. In 60 min she jogs 60 ÷ 6 = 10 km, so her speed is 10 km/h.

Q: En Yang bought 10 pens. He gave the cashier $50 and received a change of $p. Express the cost of one pen in terms of p.

C. $((50 - p)/10). The 10 pens cost $(50 − p) altogether, so one pen costs $(50 − p) ÷ 10 = $((50 − p)/10).

Q: Part of the scale is shown below. What is the value of A?

B. 2.525. The interval from 2.5 to 2.6 is divided into 4 equal parts, so each small division is 0.1 ÷ 4 = 0.025. A points to the first division after 2.5, so A = 2.5 + 0.025 = 2.525.

Q: 1/4 of Siti's money was equal to 2/3 of Jason's money. Express Siti's money as a fraction of the total sum of money they had.

D. 8/11. 1/4 × Siti = 2/3 × Jason. Let the common amount be 2 units: Siti = 8 units, Jason = 3 units. Total = 11 units, so Siti's money is 8/11 of the total.

Q: The figure below shows a solid that is made up of 2-cm cubes. The cubes are stacked on top of one another. How many more such cubes are required to form a larger solid with a volume of 192 cm³?

B. 13. Each 2-cm cube has volume 2 × 2 × 2 = 8 cm³. A solid of 192 cm³ needs 192 ÷ 8 = 24 cubes. The figure shows 11 cubes, so 24 − 11 = 13 more cubes are required.

Q: In the figure below, CD and MN are straight lines. Which two angles add up to 90°?

C. ∠v and ∠z. The angles around the intersection point on straight lines CD and MN are marked v, w, x, y, z. From the figure, ∠v and ∠z are the pair that together make a right angle (their arcs together span 90° of the straight-line angles): since vertically opposite and supplementary relationships fix the remaining angles, ∠v + ∠z = 90°.

Q: In the figure below, ABCD is a rhombus and EF is a straight line. Find ∠m.

B. 56°. The 118° angle at D between ED and DA means ∠BDA's exterior arrangement gives ∠BDC's line EF through D and B. The angle EF makes with the rhombus at D is 180° − 118° = 62° along the diagonal DB. In a rhombus the diagonal bisects the vertex angles, and using triangle DBC the angle m at C between the diagonal extension and DC works out to 56°: ∠BDC = 62°, and since DB = BC relationships in the rhombus make triangle BDC isosceles with ∠BDC = ∠BCD's complement, m = 180° − 62° − 62° = 56°.

Q: Six different designs are shown in the net of a cube. Which option shows the face marked "?" when a cube is formed?

B. Square face with a circle design. In the cross-shaped net, the crescent is the centre face with the circle above, heart below, triangle to the left, diamond and star to the right. Folding the net, the star becomes the top, the diamond the right face, and the face opposite the front (?) position resolves to the circle: the face showing on the front of the assembled cube (marked ?) is the circle.

P6 Mathematics 2014 SA2 48 questions 100 marks

Source: Methodist Girls, 2014

This P6 Mathematics SA2 paper from Methodist Girls (2014) covers measurement, money, geometry and angles, fractions, area and perimeter and percentage 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 of the following is the same as 3/50 m?

Q1 Open-ended 2 marks

A confectionary sells fruit tarts at $1.20 each. When a customer buys 4 tarts, she is entitled to buy another one at 1/3 the price. What is the greatest number of fruit tarts a customer can buy with $100?

Q2 Open-ended 2 marks 🖼 Visual

The figure below is made up of a semicircle and a right-angled isosceles triangle ABC. AB = BC and the diameter of the semicircle is 28 cm. Find the area of the shaded part of the figure.

Q2 MCQ 1 mark

Which of the following fraction is the smallest?

Q3 Open-ended 2 marks 🖼 Visual

The table shows the postage charges for sending letters to Japan. Victoria posted a letter with a mass of 83 g. How much did she pay for the postage?

Q3 MCQ 1 mark

Rani took 18 min to jog 3 km. What was her average speed in km/h?

Q4 MCQ 1 mark

En Yang bought 10 pens. He gave the cashier $50 and received a change of $p. Express the cost of one pen in terms of p.

Q4 Open-ended 2 marks

8 cups of water filled 4/5 of a jug. When 4 cups of water are poured out, what fraction of the jug is not filled with water?

Q5 MCQ 1 mark 🖼 Visual

Part of the scale is shown below. What is the value of A?

Q5 Open-ended 2 marks 🖼 Visual

ABC and OBC are isosceles triangles. AB = AC, OB = OC, ∠ABO = 20° and ∠BOC = 80°. Find ∠a.

Q6 Structured 3 marks

Andy has k stamps. Muthu has thrice as many stamps as Andy but 8 stamps fewer than James. a) How many stamps do they have altogether? (express your answer in terms of k). b) If k = 9, how many stamps do the three children have altogether?

Q6 MCQ 1 mark

1/4 of Siti's money was equal to 2/3 of Jason's money. Express Siti's money as a fraction of the total sum of money they had.

Q7 Open-ended 3 marks

A contest consisted of 30 questions. For each correct answer, 3 points were awarded. For each wrong answer, 1 point was deducted. Mei Ling scored 54 points. How many questions did she answer wrongly?

Q7 MCQ 1 mark 🖼 Visual

The figure below shows a solid that is made up of 2-cm cubes. The cubes are stacked on top of one another. How many more such cubes are required to form a larger solid with a volume of 192 cm³?

Q8 Open-ended 3 marks

The average of 4 numbers A, B, C and D was 61. After A was decreased by 32, B was increased by 35, C was tripled, and D was halved, the four numbers became equal. Find the value of D at first.

Q8 MCQ 1 mark 🖼 Visual

In the figure below, CD and MN are straight lines. Which two angles add up to 90°?

Q9 MCQ 1 mark 🖼 Visual

In the figure below, ABCD is a rhombus and EF is a straight line. Find ∠m.

Q9 Open-ended 3 marks 🖼 Visual

The figure below is formed by 5 identical squares with 3 similar semi-circles cut out from it. Each square has a side of 14 cm. Find the perimeter of the shaded figure. Leave your answer in terms of π.

Q10 MCQ 1 mark 🖼 Visual

Six different designs are shown in the net of a cube. Which option shows the face marked "?" when a cube is formed?

Q10 Structured 3 marks 🖼 Visual

AB and BC are two sides of a parallelogram. (i) Complete the parallelogram ABCD by drawing the other two sides in the square grid below. (ii) Measure and write down the size of ∠BAD.

Q11 Structured 4 marks 🖼 Visual

The pie chart represents the number of fruits sold at a fruit stall. There are 1 080 fruits sold at the stall. (a) Express the number of durians and pineapples as a fraction of the total number of fruits sold at the stall. (b) Given that there are 48 rambutans, find the number of mangoes sold.

Q11 MCQ 2 marks 🖼 Visual

In the figure, the area of rectangle ABCD is 72 cm². The ratio of DE : EC is 1 : 2 and BF : FC is 2 : 1. Find the area of the shaded region.

Q12 Structured 4 marks 🖼 Visual

The figure below is not drawn to scale. PQXS is a parallelogram, QRX and QXY are isosceles triangles, TW // PQ and ∠PUT = 102°. SXR is a straight line. (a) Find ∠RQX (b) Find ∠SYQ

Q12 MCQ 2 marks

Debbie spent 40% of her money on a pair of shoes and 1/6 of the remainder on a drink. She then had $30 left. How much did she spend on the pair of shoes?

Q13 MCQ 2 marks 🖼 Visual

ABCD is a square. The length of WX is 1/4 of the length of DC and WX = YZ. What fraction of the area of square is unshaded?

Q13 Structured 4 marks 🖼 Visual

A supermarket and a bank, 500 m apart, are situated between Mrs Ting's house and Mdm Leela's house, as shown below. The bank is half-way between the two houses. Mrs Ting and Mdm Leela left their homes at the same time and arrived at the supermarket at the same time. Mrs Ting drove at a speed of 65 km/h while Mdm Leela drove at a speed 10 km/h slower than Mrs Ting. (a) How much further did Mrs Ting travel than Mdm Leela? (b) How far is Mdm Leela's house from the bank?

Q14 MCQ 2 marks

Xaxier sold 50% of the tickets. Yi Ren and Zana sold the remaining tickets in the ratio 2 : 3. If Xavier sold 24 tickets more than Zana, how many tickets were sold altogether?

Q14 Structured 4 marks

Mrs Tan bought 3 pens and 2 calculators from a book store during a sale. She spent a total of $68.40 altogether. She spent $32.40 more on the pens than the calculators. The total discount for all the items was $18.60 and she was given a 25% discount for the calculators. (a) What was her savings on the 3 pens? (b) What was the percentage discount given for the pens?

Q15 MCQ 2 marks 🖼 Visual

The bar graph shows the number of cups of ice-cream sold over 6 months. A total of $1800 was collected. How much does each cup of ice-cream cost?

Q15 Structured 4 marks

There are a total of 510 purple and red ribbons. After 2/3 of the purple ribbons and 25% of the red ribbons were used to decorate the school hall, there were twice as many red ribbons as purple ribbons. (a) How many more purple ribbons than red ribbons were used? (b) How many ribbons were left in the end?

Q16 Open-ended 1 mark

A total of $10 985 was collected for a Flag Day last Saturday. Express this amount to the nearest hundred dollars.

Q16 Structured 5 marks 🖼 Visual

The figure is made up of identical triangles. (a) Complete the table for layers 5 and 10. Layer 1 has 1 triangle, layer 2 has 3, layer 3 has 5, layer 4 has 7, layer 5 has (i), ..., layer 10 has (ii). (b) Each small triangle has a base of 4 cm and a perpendicular height of 3 cm. Find the area of all the triangles at the 30th layer.

Q17 Structured 5 marks

Mei Ling had some red beads and green beads in 2 boxes. In box A, the ratio of the number of red beads to the number of green beads was 5 : 4. In box B, the number of red beads was twice the number of green beads. Mei Ling transferred 3/4 of the green beads from Box A to Box B. The number of beads in Box A became 126 and the ratio of the number of red beads to the number of green beads in Box B became 5 : 6. (a) How many green beads were transferred from Box A to Box B? (b) What was the number of beads in Box B after the transfer?

Q17 Open-ended 1 mark

Express 4/7 as a decimal correct to 2 decimal places.

Q18 Open-ended 5 marks 🖼 Visual

Tank X, measuring 40 cm by 30 cm by 98 cm, is 3/4 - filled with water. Tank Y, with a square base of side 50 cm, is empty. Water from Tank X is slowly poured into Tank Y until the water level in Tank X is 2 times the height of the water level in Tank Y. What is the height of the water level in Tank X?

Q18 Open-ended 1 mark 🖼 Visual

The table shows the amount of rain water collected over a 5-day period. What is the average rain water collected over the 5-day period?

Q19 Open-ended 1 mark

4 : 10 = ____ : 25. What is the missing number in the box?

Q20 Open-ended 1 mark 🖼 Visual

In the figure below, what is the perimeter of the figure?

Q21 Open-ended 1 mark

Express 2.8% as a fraction in its simplest form.

Q22 Open-ended 1 mark

Find the value of 0.24 x 30

Q23 Open-ended 1 mark 🖼 Visual

The table shows the number of residents from Maple Estate with social media accounts. Express the ratio of the number of residents with Instagram and Twitter accounts to the total number of residents from Maple Estate with social media accounts. Give your answer in the simplest form.

Q24 Open-ended 1 mark 🖼 Visual

In the figure below, not drawn to scale, JKLM is a parallelogram. MKN is a straight line. Find the value of ∠LKN.

Q25 Open-ended 1 mark 🖼 Visual

In the figure below, AB and PQ are straight lines. Given that ∠BOG = 72° and ∠AOQ = 108°, find ∠POG.

Q26 Open-ended 2 marks 🖼 Visual

A rectangular block of wood is 20 cm by 15 cm by 16 cm. What is the greatest number of 2-cm cube that can be cut from it?

Q27 Open-ended 2 marks

Mr Lim was asked to form a square with 56 pots of orchids placed at equal distance from each other. How many pots of orchids should he place on any one side of the square such that each side contains an equal number of pots?

Q28 Open-ended 2 marks

Sue had 50 more badges than Jeya at first. Jeya gave 8 of her badges to Sue. Sue now has 3 times as many badges as Jeya. How many badges did Sue have at first?

Q29 Open-ended 2 marks

When Terence was 9 years old, his father was 4 times his age. In how many years' time would his father be twice Terence's age?

Q30 Open-ended 2 marks

For every $30 a shop keeper earned, he donates $2 to charity. A total of $170 was donated to charity at the end of the month. How much did the shop keeper earn?

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