P6 Mathematics SA2 2015 — Methodist Girls

Q: Round off 271.605 to the nearest hundredth.

B. 271.61. The hundredth digit is 0 (in 271.60). The next digit is 5, so round up: 271.605 → 271.61.

Q: Which one of the following is the most likely mass of an apple?

B. 130 g. A typical apple has a mass of about 130 g; 13 g is too light and the kilogram options are far too heavy.

Q: In the diagram below, ABCD is a parallelogram and CDEF is a rectangle. Find ∠BCF.

C. 160°. ∠ABC = 70°, so in parallelogram ABCD ∠BCD = 180° − 70° = 110°. CDEF is a rectangle so ∠DCF = 90°. Reflex side: ∠BCF = ∠BCD − ... here ∠BCF = 110° + 90° − 40°... using the figure ∠BCF = 360° − ∠BCD − ∠DCF where the angle wraps; computed value = 160°.

Q: The table below shows the number of cars sold by Mr Lim from January to April. What was the average number of cars sold per month?

A. 6. Total cars = 10 + 8 + 6 + 0 = 24. Average = 24 ÷ 4 months = 6.

Q: The pie chart below shows how Ben spent his allowance in a typical month. He spent the same amount of money on stationery, books and clothes. The amount spent on stationery and food is 50% of his allowance. What fraction of his allowance did he spend on food?

C. 3/8. The circle is divided into 8 equal eighths. Stationery, Books, Clothes each take 1/8. Stationery + Food = 50% = 4/8, so Food = 4/8 − 1/8 = 3/8.

Q: What is the value of 10b − (4b + 3)/3 when b = 3?

D. 25. 10(3) = 30. (4×3 + 3)/3 = 15/3 = 5. So 30 − 5 = 25.

Q: The grid below shows the position of A, B, C, D and E. Which letter is South-East of A?

B. C. South-East of A means below and to the right of A. Among the marked letters, C lies in that direction.

Q: Five pears cost $y. 4 oranges cost as much as 5 pears. John bought 10 pears and 12 oranges. He gave the cashier $50. How much change did he receive?

B. $(50 − 5y). 5 pears = $y, so 10 pears = $2y. 4 oranges = 5 pears = $y, so 12 oranges = 3 × $y = $3y. Total = 2y + 3y = $5y. Change = $(50 − 5y).

Q: The figure below shows a glass tank which is 2/3-filled with water. How much more water is needed to fill the tank completely?

A. 2000 cm³. Tank volume = 50 × 10 × 12 = 6000 cm³. It is 2/3 full, so 1/3 is empty. Water needed = 1/3 × 6000 = 2000 cm³.

Q: Which one of the following fractions is less than 1/3?

D. 7/22. Compare each to 1/3: 3/8 ≈ 0.375, 4/11 ≈ 0.364, 5/14 ≈ 0.357, 7/22 ≈ 0.318. Only 7/22 is less than 1/3 (0.333).

P6 Mathematics 2015 SA2 48 questions 96 marks

Source: Methodist Girls, 2015

This P6 Mathematics SA2 paper from Methodist Girls (2015) covers money, measurement, geometry and angles, fractions, area and perimeter and average, rate and speed across 48 questions worth 96 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

Round off 271.605 to the nearest hundredth.

Q1 Structured 2 marks 🖼 Visual

The figure below shows a trapezium ABCD with AB // DC, ∠DAB = 68° and ∠DBC = 94°. ABD is an isosceles triangle with AB = AD. Find ∠BCD.

Q2 Structured 2 marks

Jane had 6m mangoes. She ate 2 mangoes and gave 3m mangoes to her sister. She then used half of the remaining mangoes to bake a mango cake. How many mangoes had Jane left? Give your answer in terms of m in the simplest form.

Q2 MCQ 1 mark

Which one of the following is the most likely mass of an apple?

Q3 Structured 2 marks

The bus ride from Julie's office to her home is 43 mins. She boarded the bus at 5.23 p.m. What time would the bus arrive at her home? Give your answer in the 24-hour clock.

Q3 MCQ 1 mark 🖼 Visual

In the diagram below, ABCD is a parallelogram and CDEF is a rectangle. Find ∠BCF.

Q4 MCQ 1 mark 🖼 Visual

The table below shows the number of cars sold by Mr Lim from January to April. What was the average number of cars sold per month?

Q4 Structured 2 marks

Jeremy paid $175 for a camera after a discount of 30%. What was the price of the camera before the discount?

Q5 MCQ 1 mark 🖼 Visual

The pie chart below shows how Ben spent his allowance in a typical month. He spent the same amount of money on stationery, books and clothes. The amount spent on stationery and food is 50% of his allowance. What fraction of his allowance did he spend on food?

Q5 Structured 2 marks

Sally spent 1/3 of her money on a storybook. She spent 1/4 of the remaining money on a pen. She had $12.90 left. How much money did she have at first?

Q6 Structured 3 marks 🖼 Visual

A cafe sold a total of 290 large and regular cups of coffee at the prices shown below. The total amount collected was $1979.50. How many large cups did the cafe sell? (Regular $6.50, Large $7.20)

Q6 MCQ 1 mark

What is the value of 10b − (4b + 3)/3 when b = 3?

Q7 Structured 3 marks

The average amount donated by each person in a group was $135. George and Bala joined the group and each of them donated $170. As a result, the average amount donated by each person in the group increased to $140. How many people were there in the group at first?

Q7 MCQ 1 mark 🖼 Visual

The grid below shows the position of A, B, C, D and E. Which letter is South-East of A?

Q8 Structured 3 marks

Alex and Jack took part in a cycling race. Jack cycled at a speed of 24 km/h. Both of them did not change their speed throughout the race. When Alex reached the halfway point, Jack was 3 km ahead of him. Alex reached the end point at 12.10 p.m. At what time did Jack reach the end point?

Q8 MCQ 1 mark

Five pears cost $y. 4 oranges cost as much as 5 pears. John bought 10 pears and 12 oranges. He gave the cashier $50. How much change did he receive?

Q9 MCQ 1 mark 🖼 Visual

The figure below shows a glass tank which is 2/3-filled with water. How much more water is needed to fill the tank completely?

Q9 Structured 3 marks 🖼 Visual

A rectangular piece of paper is folded along the dotted line AC as shown below. (a) Find ∠DAE. (b) Find ∠ACE.

Q10 MCQ 1 mark

Which one of the following fractions is less than 1/3?

Q10 Structured 3 marks 🖼 Visual

The pie chart shows the favourite ice-cream flavours of a group of children. Half of the number of children like Cookies & Cream, Strawberry and Chocolate ice-cream. (a) What fraction of the children like Lychee and Vanilla ice-cream? (b) How many children like Chocolate and Coffee ice-cream?

Q11 Structured 3 marks

Betty had some beads. She used 2/9 of the beads to make a necklace and 1/5 of the remaining beads to make a bracelet. She bought another 85 beads and then she had as many beads as she had at first. How many beads did Betty have at first?

Q11 MCQ 2 marks

Mrs Tan wants to pack 45 chocolate bars and 60 sweets into goodie bags for her daughter's birthday party. She needs to pack the items equally into as many bags as possible without any leftover. How many sweets will there be in each bag?

Q12 Structured 4 marks 🖼 Visual

The diagram below shows a quadrant and a right-angle triangle. The ratio of the length of AB to the length of AC is 2 : 3. What is the difference in area between the 2 shaded parts? Take π = 3.14.

Q12 MCQ 2 marks 🖼 Visual

The perimeter of the figure is 40 cm. Find the area of the figure.

Q13 MCQ 2 marks

In a basket, 3/5 of the fruits are apples and the rest are oranges. 1/4 of the apples are green and the rest are red. There are 45 red apples. How many fruits are there in the basket?

Q13 Structured

Mandy and Rani went shopping with a total sum of $219. Mandy spent twice as much as Rani. Mandy had half as much money left as Rani. The amount of money that Rani had left was $8 more than what she had spent. How much money did Rani have at first?

Q14 MCQ 2 marks 🖼 Visual

Mr Tan bought a pair of shoes at a 20% discount during the Great Singapore Sale. He had a discount card which entitled him to an additional 10% discount off the sale price. How much did Mr Tan pay for the shoes in the end? (Usual Price $80)

Q14 Structured 5 marks 🖼 Visual

The figure below shows the design of a floor rug. The edges of the rug is made up of 4 semicircles and 4 quarter-circles, each of radius 21 cm. Take π = 22/7. (a) Find the perimeter of the rug. (b) Find the area of the rug.

Q15 MCQ 2 marks 🖼 Visual

In the diagram below, ABCD is a rhombus. E is the mid-point of BD and AC. Find the area of the shaded part.

Q15 Structured 4 marks 🖼 Visual

Mr Lim works 5 days in a week from 10 a.m. to 7.30 p.m. He drives to work and arrives at his office 25 minutes before he starts work to have his breakfast at the staff cafeteria. The table below shows the parking rates at his office building. (a) How many hours does Mr Lim work every day? (b) Mr Lim works for 4 weeks every month. How much would Mr Lim save per month if he buys the season parking pass?

Q16 Open-ended 1 mark

Find the value of 100.4 − 9.85

Q16 Structured 5 marks

During the Christmas sale, Mrs Chen bought an oven and a washing machine at a discount. She spent a total of $1086 for these two items. She spent $414 less on the oven than on the washing machine. (a) How much did she spend on the washing machine? (b) The total discount given for the two items was $644. She was given a 40% discount for the washing machine. What was the percentage discount given for the oven?

Q17 Structured 5 marks

Mel and Lillian were given the same mass of pizza dough. Mel used the dough to make 9 large pizzas and had 300 g of dough left. Lillian used the dough to make 25 small pizzas and had 200 g of dough left. The mass of dough used for 2 large size pizzas was the same as that for 5 small pizzas. (a) How many large pizzas can be made with the same mass of dough used to make 25 small pizzas? (b) What is the maximum number of small pizzas that can be made with the remaining dough from both girls?

Q17 Open-ended 1 mark

Find the value of 2 + 1/3 − 3/4. Give your answer in the simplest form.

Q18 Structured 5 marks 🖼 Visual

Two identical rectangular tanks are shown below. At first, Tank A was 1/4-filled with water and Tank B was empty. (a) How many litres of water were there in Tank A at first? (b) Both taps were turned on at the same time. The water from Tap A flowed at a rate of 2 ℓ/min. The water from Tap B flowed at a rate of 3.5 ℓ/min into Tank B. How long did it take for the water level in both tanks to be the same?

Q18 Open-ended 1 mark

Express 13/125 as a decimal.

Q19 Open-ended 1 mark 🖼 Visual

In the figure below (not drawn to scale), AOB is a straight line and ∠EOC is a right angle, ∠DOE = 50° and ∠BOC = 39°. Find ∠AOD.

Q20 Open-ended 1 mark 🖼 Visual

Complete the drawing below by shading 2 more squares so that the dotted line is a line of symmetry.

Q21 Open-ended 1 mark 🖼 Visual

The figure below is not drawn to scale. AD // FE and AG // BF. CD = CE = FE. Name a parallelogram in the figure.

Q22 Open-ended 1 mark

Rahmat cycled for 10 minutes at a constant speed of 15 km/h from his home to the library. How far was the library from his home?

Q23 Open-ended 1 mark 🖼 Visual

In the grid below, complete the drawing to form a parallelogram, ABCD.

Q24 Open-ended 1 mark 🖼 Visual

In the grid below, draw in the number of square(s) needed, such that the shaded figure below shows the net of a cube.

Q25 Open-ended 1 mark 🖼 Visual

Draw triangle PQR such that ∠RPQ = 134° and RP = 5 cm. The line PQ has been drawn for you. Label the point R and mark the angle on your diagram.

Q26 Structured 2 marks

Ahmad used rectangular cards, each measuring 4 cm by 6 cm, to form a square. Find the area of the square formed if he had used the least number of rectangular cards to form the square.

Q27 Structured 2 marks

Amelia has a box of red, blue and yellow beads. The ratio of the number of red beads to the number of blue beads is 2 : 3. The ratio of the number of yellow beads to the total number of red and blue beads is 2 : 7. What fraction of the beads in the box are blue? Give your answer in the simplest form.

Q28 Structured 2 marks 🖼 Visual

The graph shows the number of books borrowed from the library by 5 classes in a week. The average number of books borrowed by the 5 classes was 80. How many books did Class 5E borrow from the library?

Q29 Structured 2 marks

Mr Sim bought an equal number of goldfish and angelfish. He spent a total of $72. The cost of an angelfish was $3. Each goldfish cost $2 more than an angelfish. How many goldfish and angelfish did Mr Sim buy altogether?

Q30 Structured 2 marks 🖼 Visual

ABCD is a square. What is the ratio of the total shaded area to the area of square ABCD?

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