B. 0.4. 1/5 % = 0.2% = 0.002. Then 0.002 × 200 = 0.4.

P6 Mathematics SA2 2014 — Tao Nan

Q: Round off 548 605 to the nearest thousand.

B. 549 000. The hundreds digit is 6, which is 5 or more, so 548 605 rounds up to 549 000.

Q: Pole A is 200 cm long. Pole B is 60 m long. What is the ratio of the length of Pole A to the length of Pole B?

A. 1 : 30. Convert to the same unit: 60 m = 6000 cm. Ratio = 200 : 6000 = 1 : 30.

Q: Salim ran 5 times round a circular track of radius 100 m. How far did he run? (Take π = 3.14)

D. 3 140 m. Circumference = 2 × 3.14 × 100 = 628 m. Five rounds = 5 × 628 = 3140 m.

Q: What is the least amount to pay for 16 apples?

C. $9.70. Buying bags is cheaper: 3 bags of 5 apples cost 3 × $3.00 = $9.00 for 15 apples, plus 1 single apple at 70¢ gives 16 apples for $9.70.

Q: Auntie Kim bought 1 2/5 kg of noodles. She divided the noodles equally into 14 bowls. How much noodles was in each bowl?

B. 1/10 kg. 1 2/5 = 7/5. Divide by 14: 7/5 ÷ 14 = 7/70 = 1/10 kg per bowl.

Q: Five years ago, May was p years old. Her brother is 3 years younger than her now. What is their total age now?

A. (2p + 7) years old. May is now p + 5. Her brother is (p + 5) − 3 = p + 2. Total = (p + 5) + (p + 2) = 2p + 7.

Q: Betty had 2 boxes of cubes. After transferring 1/9 of the cubes from Box A to Box B, the ratio of the number of cubes in Box A to the number of cubes in Box B becomes 2 : 3. What is the ratio of the number of cubes in Box A to the number of cubes in Box B at first?

C. 9 : 11. Let Box A start with 9 units. After giving away 1 unit, A has 8 units. Since A : B = 2 : 3 = 8 : 12, Box B now has 12 units, so it started with 12 − 1 = 11 units. Original ratio = 9 : 11.

Q: The pie chart shows the breakdown of Mr Ye's household bill. The amount of money spent on water is 2/3 the amount of money spent on electricity. What percentage of the total bill was spent on water?

B. 24%. Gas is 15% and Others is 25%, so Electricity + Water = 60%. Water = 2/3 of Electricity means Electricity : Water = 3 : 2, so Water = 2/5 × 60% = 24%.

Q: 3 1/100 = 10 × ____. What is the missing number in the box?

B. 0.301. 3 1/100 = 3.01. Dividing by 10 gives 3.01 ÷ 10 = 0.301.

P6 Mathematics 2014 SA2 48 questions 100 marks

Source: Tao Nan, 2014

This P6 Mathematics SA2 paper from Tao Nan (2014) covers measurement, money, area and perimeter, percentage, ratio and geometry and angles 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 Open-ended 2 marks 🖼 Visual

Use the given shape to form a tessellation in the space provided. Draw 4 more of the given shape.

Q1 MCQ 1 mark

Round off 548 605 to the nearest thousand.

Q2 MCQ 1 mark

Pole A is 200 cm long. Pole B is 60 m long. What is the ratio of the length of Pole A to the length of Pole B?

Q2 Structured 2 marks

The average of seven numbers is 49. If '1' is added to the first number, '2' is added to the second number, '3' is added to the third number and so on up to the seventh number, what is the new average?

Q3 MCQ 1 mark

Salim ran 5 times round a circular track of radius 100 m. How far did he run? (Take π = 3.14)

Q3 Structured 2 marks

There are some red and blue cubes in a box. If 16 more red cubes are added, the percentage of blue cubes will decrease from 25% to 20%. How many blue cubes are in the box?

Q4 MCQ 1 mark 🖼 Visual

What is the least amount to pay for 16 apples?

Q4 Structured 2 marks

Miss Ho baked 3 times as many chicken pies as vegetarian pies. She gave 16 chicken pies and 4 vegetarian pies to her friend. She had the same number of chicken pies and vegetarian pies left. How many chicken pies did she bake?

Q5 Structured 2 marks 🖼 Visual

The figure below is made up of 5 identical rectangles with a perimeter of 336 cm. Find the area of each rectangle.

Q5 MCQ 1 mark

Auntie Kim bought 1 2/5 kg of noodles. She divided the noodles equally into 14 bowls. How much noodles was in each bowl?

Q6 MCQ 1 mark

Five years ago, May was p years old. Her brother is 3 years younger than her now. What is their total age now?

Q6 Structured 3 marks

At 12 noon, a car left Town A for Town B at an average speed of 100 km/h while a bus left Town B for Town A at an average speed of 80 km/h. At 4.30 p.m., the two vehicles were 20 km apart. Find the distance between Town A and Town B.

Q7 Structured 3 marks 🖼 Visual

The figure is made up of 2 quadrants with radii 14 cm and 7 cm respectively. Find the perimeter of the figure. (Take π = 22/7)

Q7 MCQ 1 mark

Betty had 2 boxes of cubes. After transferring 1/9 of the cubes from Box A to Box B, the ratio of the number of cubes in Box A to the number of cubes in Box B becomes 2 : 3. What is the ratio of the number of cubes in Box A to the number of cubes in Box B at first?

Q8 Structured 3 marks 🖼 Visual

The rectangle below is divided into four parts K, L, M and N. The ratio of Part K to Part L is 5 : 3 and the ratio of Part L to Part M is 2 : 1. (a) Find the ratio of Part K to Part L to Part M. (b) Given that Part N is 26 cm², find the area of the rectangle.

Q8 MCQ 1 mark

Find 1/5 % of 200.

Q9 MCQ 1 mark 🖼 Visual

The pie chart shows the breakdown of Mr Ye's household bill. The amount of money spent on water is 2/3 the amount of money spent on electricity. What percentage of the total bill was spent on water?

Q9 Structured 3 marks

The total mass of Cathy, Jack and Mark is 15p kg. Cathy has a mass of 5p kg. Jack is 2 kg heavier than Cathy. (a) What is Mark's mass in terms of p? (b) If p = 10, what is Mark's mass?

Q10 MCQ 1 mark

3 1/100 = 10 × ____. What is the missing number in the box?

Q10 Structured 3 marks

Tom and Jerry take 1 hour to clean the fish tank together. If Tom takes 3 hours to clean the tank on his own, how long will it take Jerry to clean the tank alone?

Q11 Structured 3 marks 🖼 Visual

In the figure below, ABCD is a trapezium and PQCR is a square. AB // CQ. The size of ∠DCR is 5/4 of ∠DCQ. Find ∠SDC.

Q11 MCQ 2 marks

Nellie has 7 more pieces of $5 notes than $2 notes. She has a total of $175. How many pieces of $2 notes does she have?

Q12 Structured 4 marks 🖼 Visual

The pie chart shows the type of food ate by 1800 pupils in XYZ School. The number of pupils who ate hotdog buns is the same as the number of pupils who ate fishball noodles. (a) How many pupils ate hotdog buns? (b) The pupils paid $1.20 for each bowl of wanton noodles. What was the total amount of money spent on wanton noodles?

Q12 MCQ 2 marks 🖼 Visual

The parking charges of Car Park A is shown below. Alice parked her car at the car park from 3.30 p.m. to 9 p.m. How much parking charges did she pay?

Q13 MCQ 2 marks

May and Carrie shared some sweets. After May gave 1/4 of her sweets to Carrie, Carrie had 3 times as many sweets as May. What fraction of May's sweets was Carrie's at first?

Q13 Structured 4 marks

At a game stall, Keith and Beth shared some points. At first, Keith had 120 more points than Beth. When Keith gave away 1/6 of his points to Beth, he had 20 points less than Beth. What was the ratio of Keith's points to Beth's points at first? Leave your answer in the simplest form.

Q14 MCQ 2 marks

Siti was given a discount of $2 for every tin of cookies she bought. For every 10 tins of cookies bought, she would receive an extra $5 discount. How much discount would she receive if she bought 55 tins of cookies?

Q14 Structured 5 marks

Jack started driving from Town X towards Town Y at 13 40 at an average speed of 70 km/h. Muthu began driving from Town X towards Town Y at 15 10 at an average speed of 100 km/h. (a) At what time did Muthu pass Jack on the road? (b) 1 2/5 hours after passing Jack, Muthu reached Town Y. At what time did Jack reach Town Y?

Q15 MCQ 2 marks 🖼 Visual

The figure below is not drawn to scale. ABCD is a rhombus. DBE is a straight line. BC is parallel to EF. Find ∠DEF.

Q15 Structured 5 marks

Mark was training for a marathon. Each week, he jogged a distance of 10% more than the previous week. He jogged 36.3 km in Week 3. (a) What distance did he jog in Week 1? (b) What was the total distance Mark jogged in 3 weeks?

Q16 Open-ended 1 mark

What is the remainder when 9 030 is divided by 50?

Q16 Structured 5 marks

Mrs Raju spent $72 on some mangoes, apples and peaches. The ratio of the amount of money she spent on the mangoes, apples and peaches was 3 : 2 : 1. Apples were sold at 5 for $2. The number of mangoes she bought was 2/5 the number of apples. The number of peaches she bought was 2/3 the number of apples. Find the price of a mango.

Q17 Structured 4 marks 🖼 Visual

The figure below is not drawn to scale. O is the centre of the circle. OQ = QR = RS. Find the shaded area. Leave your answer in terms of π.

Q17 Open-ended 1 mark

Express 5 3/7 as a decimal. Leave your answer correct to 2 decimal places.

Q18 Structured 5 marks 🖼 Visual

In the figure below, PQRS is a square of sides 24 cm. X is the midpoint of QS. ST = TR. SX is 4 times of WX. PY is 3/8 of PX. Find the total shaded area.

Q18 Open-ended 1 mark 🖼 Visual

The timings recorded by 4 athletes for a 100-metre sprint are shown below. Arrange the names of athletes starting from the fastest sprinter to the slowest.

Q19 Open-ended 1 mark

Express 1 1/3 as a percentage.

Q20 Open-ended 1 mark 🖼 Visual

ABCD is a square. AX is 3/4 of AB. What fraction of the square is shaded?

Q21 Open-ended 1 mark

A box has a mass of 1.75 kg when it is completely filled with jellybeans. It has a mass of 1.15 kg when it is 5/8 filled. What is the mass of the box?

Q22 Open-ended 1 mark

Ali gave 30% of his savings to his sister. She spent 60% of the money on a storybook. What percentage of Ali's savings had she spent?

Q23 Open-ended 1 mark 🖼 Visual

John is cycling along Better Road. At the junction, he will turn left into Duncan Road. In which direction will he be cycling after he has turned left?

Q24 Open-ended 1 mark

Find the value of 59 − 36 ÷ 4 + (19 − 8 × 2).

Q25 Open-ended 1 mark

3/5 of Sam's age is equal to 5/7 of Meimei's age. Their age difference is 8 years. Find Meimei's age.

Q26 Structured 2 marks

Find the value of 1/2 + 1/4 + 1/8 + 1/16 + 1/32. Leave your answer in the simplest form.

Q27 Structured 2 marks 🖼 Visual

The solid is made up of 8 pieces of 2-cm cubes glued together. The entire solid is painted yellow. Find the total surface area which is painted yellow.

Q28 Structured 2 marks 🖼 Visual

The line graph shows the amount of petrol used by Mrs Tan for the first 6 months of the year. Mrs Tan paid $2.00 (inclusive of GST) for each litre of petrol. What is the average amount of money spent?

Q29 Structured 2 marks 🖼 Visual

PQRS is a parallelogram. TP = PQ. Find ∠TPS.

Q30 Structured 2 marks 🖼 Visual

Find the area of the right-angled triangle shown below. AB is equal to BC.

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