P6 Mathematics SA1 2014 — Methodist Girls

Q: In 2 860 354, which digit is in the ten thousands place?

B. 6. Reading 2 860 354 from the right: 4 ones, 5 tens, 3 hundreds, 0 thousands, 6 ten thousands. The digit in the ten thousands place is 6.

Q: Mrs Rama baked 140 muffins. She packed the muffins into boxes of 6. How many muffins were left over?

B. 2. 140 ÷ 6 = 23 remainder 2, since 6 × 23 = 138 and 140 − 138 = 2. So 2 muffins were left over.

Q: Round off 6.826 to 2 decimal places.

C. 6.83. The third decimal digit is 6, which is 5 or more, so the second decimal digit rounds up: 6.826 ≈ 6.83.

Q: Find the value of 0.47 × 60.

C. 28.2. 0.47 × 60 = 0.47 × 6 × 10 = 2.82 × 10 = 28.2.

Q: What is the value of 11 + 4y/2 when y = 6?

C. 23. Substitute y = 6: 4y/2 = (4 × 6) ÷ 2 = 24 ÷ 2 = 12. Then 11 + 12 = 23.

Q: There are 45 tarts in a box. 27 of them are egg tarts while the rest are fruit tarts. What is the ratio of the number of egg tarts to the number of fruit tarts in the box?

B. 3 : 2. Fruit tarts = 45 − 27 = 18. Ratio of egg tarts to fruit tarts = 27 : 18 = 3 : 2 after dividing both by 9.

Q: 25% of a number is 60. What is 1/6 of the number?

C. 40. If 25% of the number is 60, the number is 60 × 4 = 240. Then 1/6 × 240 = 40.

Q: In the figure below, ABCD is a trapezium. AB // DC, DC = CB, ∠DAB = 90° and ∠ADB = 58°. Find ∠CBD.

B. 32°. In triangle ABD, ∠ABD = 180° − 90° − 58° = 32°. Since AB // DC, ∠BDC = ∠ABD = 32° (alternate angles). Triangle DCB is isosceles with DC = CB, so ∠CBD = ∠BDC = 32°.

Q: In the figure below, COD and EOF are straight lines. Find the sum of ∠EOB and ∠AOC.

A. 125°. ∠COE = 40°, so its vertically opposite angle ∠DOF = 40° (COD and EOF are straight lines). Angles around point O sum to 360°: ∠AOF + ∠FOD + ∠DOB + ∠BOE + ∠EOC + ∠COA = 360°, so 70° + 40° + 85° + 40° + (∠EOB + ∠AOC) = 360°, giving ∠EOB + ∠AOC = 125°.

Q: The figure below shows a square and a quadrant. Find the perimeter of the shaded part. (Take π = 22/7)

C. 50 cm. The quadrant has radius 14 cm, so its arc = 1/4 × 2 × 22/7 × 14 = 22 cm. The shaded corner region is bounded by this arc and two sides of the square (14 cm each). Perimeter = 22 + 14 + 14 = 50 cm.

P6 Mathematics 2014 SA1 48 questions 100 marks

Source: Methodist Girls, 2014

This P6 Mathematics SA1 paper from Methodist Girls (2014) covers percentage, ratio, money, average, rate and speed, patterns and algebra and whole numbers and place value 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

In 2 860 354, which digit is in the ten thousands place?

Q2 MCQ 1 mark

Mrs Rama baked 140 muffins. She packed the muffins into boxes of 6. How many muffins were left over?

Q3 MCQ 1 mark

Round off 6.826 to 2 decimal places.

Q4 MCQ 1 mark

Find the value of 0.47 × 60.

Q5 MCQ 1 mark

What is the value of 11 + 4y/2 when y = 6?

Q6 MCQ 1 mark

There are 45 tarts in a box. 27 of them are egg tarts while the rest are fruit tarts. What is the ratio of the number of egg tarts to the number of fruit tarts in the box?

Q7 MCQ 1 mark

25% of a number is 60. What is 1/6 of the number?

Q8 MCQ 1 mark 🖼 Visual

In the figure below, ABCD is a trapezium. AB // DC, DC = CB, ∠DAB = 90° and ∠ADB = 58°. Find ∠CBD.

Q9 MCQ 1 mark 🖼 Visual

In the figure below, COD and EOF are straight lines. Find the sum of ∠EOB and ∠AOC.

Q10 MCQ 1 mark 🖼 Visual

The figure below shows a square and a quadrant. Find the perimeter of the shaded part. (Take π = 22/7)

Q11 MCQ 2 marks

The pupils in a class are grouped equally into Team A and Team B. The ratio of the number of boys to the number of girls in Team A is 2 : 1 and the ratio of the number of boys to the number of girls in Team B it is 4 : 11. What is the ratio of the number of boys to the number of girls at the class?

Q12 MCQ 2 marks

Thelma has $120. This is 20% of the amount of money that Lily has. How much money does Lily have?

Q13 MCQ 2 marks

Which one of the following fractions is nearest to 1?

Q14 MCQ 2 marks

Mr Tan drove for 1 1/2 h at a speed of 80 km/h. He then drove for another 1/2 h at a speed of 100 km/h. Find Mr Tan's average speed for the whole journey.

Q15 MCQ 2 marks 🖼 Visual

The figure below shows a circle that is divided into 4 parts P, Q, R and S. The line AB is the diameter of the circle. The ratio of Area P to Area Q is 1 : 2 and the ratio of Area R to Area S is 1 : 3. Find the ratio of Area Q to Area S.

Q16 Open-ended 1 mark

What is the missing number in the box? 35 × 21 = 16 × 35 + ____ × 35

Q17 Open-ended 1 mark

Find the value of 50 − 18 ÷ 3 × (4 + 3).

Q18 Open-ended 1 mark

Express 0.085 as a percentage.

Q19 Open-ended 1 mark

In a basket, 1/6 of the fruits are apples and the rest are oranges. 3/10 of the apples are red. There are 15 red apples. How many fruits are there in the basket?

Q20 Open-ended 1 mark

Mary sold (3k + 2) flowers on Friday. She sold k more flowers on Saturday than on Friday. How many flowers did she sell altogether? Give your answer in terms of k in the simplest form

Q21 Open-ended 1 mark

The price of an eraser is 3/5 the price of a pen. The price of a ruler is half the price of an eraser. What is the ratio of the price of the pen to the price of an eraser to the price of a ruler?

Q22 Open-ended 1 mark

The ratio of Mary's savings to Charlotte's savings is 5 : 8. Mary has $360 less than Charlotte. What is the total amount of their savings?

Q23 Open-ended 1 mark

Jon walked from his house to the library which was 0.2 km away. His walking speed was 20 m/min. How long did Jon take to walk to the library?

Q24 Open-ended 1 mark 🖼 Visual

The figure below shows 2 equilateral triangles. Find the sum of ∠p and ∠q.

Q25 Open-ended 1 mark 🖼 Visual

In the figure below, DOE is a straight line. ∠DOF = 145° and ∠EOG = 120°. Find ∠GOF.

Q26 Open-ended 2 marks

Every time Jane saved $4.50 in her piggy bank, her mother would give her another 50 cents. When Jane had $100 in her savings, how much of it was given by her mother?

Q27 Open-ended 2 marks

There are red, blue and yellow buttons in a box. The ratio of the number of red buttons to blue buttons is 4:5. The ratio of the number of yellow buttons to the total number red and blue buttons is 5:6. What fraction of the buttons in the box are blue buttons?

Q28 Open-ended 2 marks

Miss Lee bought some pineapple tarts. She gave 30% of the pineapple tarts to her neighbour and ate 40% of the remaining tarts. If she had 84 pineapple tarts left, how many pineapple tarts did she buy?

Q29 Open-ended 2 marks 🖼 Visual

In the figure below, ABCD is a parallelogram and BCF is an isosceles triangle with BC = CF. BEF is a straight line, ∠ADC = 75° and ∠DEF = 53°. Find ∠CBF.

Q30 Open-ended 2 marks

Ahmad took 45 minutes to drive from Town A to Town B at an average speed of 80 km/h. After that he took 2 1/4 hours to travel 135 km from Town B to Town C. Find Ahmad's average speed for the whole journey.

Q31 Open-ended 2 marks

Sarah had $500 and Chloe had $900. After both of them spent an equal amount of money, Sarah had 1/5 as much as Chloe. How much did Chloe spend?

Q32 Open-ended 2 marks

Mr Chong bought a television set at $1 950 after a 35% discount. What was the original price of the television set?

Q33 Open-ended 2 marks

Ahmad took 45 minutes to cycle 11 1/4 km. Find Ahmad's average cycling speed in km/h.

Q34 Open-ended 2 marks 🖼 Visual

A table with 4 columns is filled with numbers in a certain pattern. The first 4 rows of the table are shown below. What is the number in Row 12, Column B?

Q35 Open-ended 2 marks 🖼 Visual

John folded a piece of rectangular paper along the dotted line as shown below. Find ∠x.

Q36 Open-ended 3 marks

Stella bought some red, yellow and white bows. The ratio of the number of red bows to the number of yellow bows was 4:1. The ratio of the number of red bows to the number of white bows was 5:2. If there were 165 more red bows than yellow bows, how many yellow bows did Stella buy?

Q37 Open-ended 3 marks

Last year, there were 120 pupils in the computer club. 40% of the pupils were boys. Some boys joined the computer club this year. The percentage of the pupils who are boys has increased to 52%. How many boys joined the computer club this year?

Q38 Open-ended 3 marks

The original selling price of a computer was $2800. A shop sold it at a discount of 20% during a sale. If the shop charged 7% Goods and Services Tax (GST) on the discounted price, how much was the GST?

Q39 Open-ended 3 marks

In a basket, there were balls of three different sizes: large, medium and small. 2/3 of the balls were large, 1/5 of the balls were medium and the rest were small. There were 128 more large balls than small balls. How many small balls were there?

Q40 Open-ended 3 marks 🖼 Visual

John rolled a hula hoop from one end of the room to the other end of the room. He counted that he could make 5 complete revolutions before the hula hoop touched the wall on the other end. The radius of the hula hoop is 21 cm. Find the distance between the 2 walls of the room. (Take π = 22/7)

Q41 Structured 4 marks 🖼 Visual

In the figure, ABCD is a parallelogram. EBF is a straight line, ∠DAB = 104°, ∠ABF = 160° and ∠DBE = 9°. (a) Find ∠CBF. (b) Find ∠CDB.

Q42 Open-ended 4 marks

Mrs Tan baked 185 more chocolate cupcakes than lemon cupcakes. After selling 3/5 of the chocolate cupcakes and 1/2 of the lemon cupcakes, he had 146 cupcakes left. How many cupcakes did she sell?

Q43 Structured 4 marks

Four men carried 2r sacks of rice each. The 5th man carried 6 more sacks of rice than each of the four men. (a) Find the number of sacks of rice the 5 men carried altogether. Give your answer in terms of r. (b) The 5th man carried 14 sacks of rice, find the number of sacks of rice the 5 men carried altogether.

Q44 Open-ended 4 marks

Joe and Muthu took part in a 5 km race. Both of them did not change their speeds throughout the race. Muthu ran at a speed of 200 m/min. When Muthu reached the finishing line, Joe was 750 m behind him. What was Joe's speed in km/h?

Q45 Structured 5 marks

Sally had 3/4 as much money as Zoey. Sally and Zoey shared the cost of a present in the ratio 2 : 3 respectively. Sally used 50% of her money to pay for her share. Zoey had $84 left after paying for her share. (a) How much did Sally pay for the present? (b) What is the cost of the present?

Q46 Open-ended 4 marks

Charles and Lily had some stickers. 1/3 of Charles' stickers was 160 more than 120% of Lily's stickers. They had a total of 2550 stickers. How many stickers did Charles have?

Q47 Structured 5 marks 🖼 Visual

The following figure is cut out from a rectangular piece of cardboard measuring 12 cm by 6 cm. It is made up of a large semicircle and 3 smaller semicircles. (a) Find the perimeter of the shaded part. (b) Find the area of the shaded part. (Take π = 3.14)

Q48 Open-ended 5 marks

Janice and Marissa had some money. If Janice spends $40 per day and Marissa spends $80 per day, Marissa would have $500 left by the time Janice spends all her money. If Janice spends $80 per day and Marissa spends $40 per day, Marissa would have $1100 left by the time Janice spends all her money. Find the total amount of money Marissa and Janice had at first.

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