P6 Mathematics SA1 2012 — Catholic High

Q: The number of spectators at a stadium was 247 867. Express this number to the nearest thousand.

C. 248 000. The hundreds digit is 8 (≥5), so round the thousands up: 247 867 → 248 000.

Q: Which of the following shows 7599 ÷ 300?

D. 7599 ÷ 3 ÷ 100. Dividing by 300 means dividing by 3 and then by 100: 7599 ÷ 3 ÷ 100.

Q: The mass of a can of soft drink is approximately ____.

B. 300 g. A standard 330 ml can of soft drink has a mass of roughly 300 g.

Q: Express 1 km 4 m in kilometers.

B. 1.004 km. 1 km = 1000 m, so 4 m = 0.004 km, giving 1 km 4 m = 1.004 km.

Q: Mary had as many blue marbles as green marbles. She gave away 1/9 of her blue marbles and 1/9 of her green marbles. What fraction of her marbles had she left?

D. 8/9. She gave away 1/9 of the total (1/9 of each equal group), leaving 1 - 1/9 = 8/9.

Q: ABC is a triangle. AD is 3/5 of AC. Find the area of the shaded part.

A. 72 cm². AD = 3/5 × 30 = 18 cm. Shaded triangle ABD has base 18 cm and height 8 cm: area = ½ × 18 × 8 = 72 cm².

Q: ABC is a straight line. Find ∠EBD.

C. 30°. EB is perpendicular to ABC (90° from BC). ∠DBC = 60°, so ∠EBD = 90° - 60° = 30°.

Q: The diagram below shows the net of a cuboid. Which net shows the net of the cuboid shown?

A. Option (1). Only net (1) folds correctly into the given long, thin cuboid with matching pairs of opposite faces.

Q: Jerry had 35 big stickers and 20 small stickers at first. He exchanged 10 small stickers for 5 big stickers. What percentage of his stickers are big stickers in the end?

D. 80%. After exchange: big = 35 + 5 = 40, small = 20 - 10 = 10, total = 50. Big fraction = 40/50 = 80%.

Q: The table shows the amount of money each child saves each week (Wendy $1.20, Jane $2.50, George $1.50, Randy $1.80). What is the average amount of money each child save per week?

D. $1.75. Total = 1.20 + 2.50 + 1.50 + 1.80 = $7.00; average = 7.00 ÷ 4 = $1.75.

P6 Mathematics 2012 SA1 48 questions 100 marks

Source: Catholic High, 2012

This P6 Mathematics SA1 paper from Catholic High (2012) covers geometry and angles, money, measurement, fractions, ratio 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 Open-ended 2 marks

A pair of shoes is sold at $100 after a discount of 20%. What is the original cost of the pair of shoes?

Q1 MCQ 1 mark

The number of spectators at a stadium was 247 867. Express this number to the nearest thousand.

Q2 Open-ended 2 marks

Mrs Lim bought some apples and mangoes at a fruit stall. 5 apples cost as much as 3 mangoes. She spent $9.50 on 3 apples and 2 mangoes. What is the cost of a mango?

Q2 MCQ 1 mark

Which of the following shows 7599 ÷ 300?

Q3 Open-ended 2 marks

Wendy has 30 stickers more than Ben. When Wendy gives 48 stickers to Ben, Ben has thrice as many stickers as Wendy. How many stickers does Wendy have at first?

Q3 MCQ 1 mark

The mass of a can of soft drink is approximately ____.

Q4 Open-ended 2 marks 🖼 Visual

WXY and XYZ are different isosceles triangles. XY is equal to YW. XZ is equal to YZ. Find ∠WYZ.

Q4 MCQ 1 mark

Express 1 km 4 m in kilometers.

Q5 MCQ 1 mark

Mary had as many blue marbles as green marbles. She gave away 1/9 of her blue marbles and 1/9 of her green marbles. What fraction of her marbles had she left?

Q5 Open-ended 2 marks 🖼 Visual

ABCE is a rectangle and ABD is a triangle. 1/3 of ABD is shaded. What fraction of ABCE is unshaded?

Q6 Open-ended 3 marks

The ratio of the number of girls to the number of boys at a camp was 4 : 5. When 46 girls went home, the ratio of the number of girls to the number of boys became 2 : 3. How many boys were there at the camp?

Q6 MCQ 1 mark 🖼 Visual

ABC is a triangle. AD is 3/5 of AC. Find the area of the shaded part.

Q7 MCQ 1 mark 🖼 Visual

ABC is a straight line. Find ∠EBD.

Q7 Open-ended 3 marks 🖼 Visual

Rectangle ABCD is formed using 2 different squares and 2 different equilateral triangles. The total perimeter of the squares and the triangles is 623 cm. Find the perimeter of rectangle ABCD.

Q8 Open-ended 3 marks

165 candies were packed into big and small boxes. There were 7 more small boxes than big boxes. Each big box contained 5 candies and each small box contained 3 candies. How many big boxes were used?

Q8 MCQ 1 mark 🖼 Visual

The diagram below shows the net of a cuboid. Which net shows the net of the cuboid shown?

Q9 MCQ 1 mark

Jerry had 35 big stickers and 20 small stickers at first. He exchanged 10 small stickers for 5 big stickers. What percentage of his stickers are big stickers in the end?

Q9 Open-ended 3 marks

Harley spent $180 on food. He used 2/7 of the remaining money on some books. If he had 1/3 of his money left, how much money did he have at first?

Q10 MCQ 1 mark 🖼 Visual

The table shows the amount of money each child saves each week (Wendy $1.20, Jane $2.50, George $1.50, Randy $1.80). What is the average amount of money each child save per week?

Q10 Open-ended 3 marks 🖼 Visual

ABCD is a quadrilateral. DEC is a triangle. Find the sum of ∠DAB and ∠BCE.

Q11 Open-ended 4 marks 🖼 Visual

The graph shows the number of books borrowed by pupils from 4 classes. Each girl borrowed 2 books while each boy borrowed 3 books. If there are 50 girls who borrowed books, how many boys borrowed books?

Q11 MCQ 2 marks

The length of a rectangle is twice its breadth. Find the area of the rectangle if the perimeter is 24 cm.

Q12 Structured 4 marks

The ratio of the length of a rectangle to the breadth of a rectangle is 7 : 2. The perimeter of the rectangle is w cm. a) Find the breadth of the rectangle. Express your answer in terms of w in its simplest form. b) Find the breadth of the rectangle if the perimeter of the rectangle is 144 cm.

Q12 MCQ 2 marks

Find the value of 30 − (28 ÷ 4) + 3 x 2.

Q13 MCQ 2 marks 🖼 Visual

The table below shows the late charges for a book (First day $0.20, Each subsequent day $0.50). David borrowed 2 books from the library on the same day. He returned both books together to the library a few days later. He paid $3.40 for the late charges. How many days of late charges did David pay?

Q13 Open-ended 4 marks

A shop sells tarts at $2 each or 3 for $5. Mr Ong has $169 and used it to buy the tarts. What is the maximum number of tarts Mr Ong can buy with the money?

Q14 MCQ 2 marks

The ratio of the number of beads Jay has to the number of beads Samuel has is 3 : 4. The ratio of the number of beads Clive has to the number of beads Samuel has is 5 : 3. What is the ratio of the number of beads Jay has to the number of beads Samuel has to the total number of beads the 3 boys have?

Q14 Open-ended 4 marks

A total of 325 boys and girls attended a performance in the school hall. 4/5 of the boys and 3/4 of the girls left the hall after the performance ended. There were 29 more boys than girls who remained in the hall. How many girls were there at first?

Q15 MCQ 2 marks

Mindy has 8/9 m of ribbon. She cuts it into several equal pieces. Each piece is 1/12 m long. How much is the remaining ribbon?

Q15 Open-ended 4 marks

Roy bought some pens, files and erasers. The ratio of the number of pens to the number of files to the number of erasers he bought was 3:5:2. The cost of each pen and eraser is $1.20 and $0.80 respectively. If he spent $182 on the pens and the erasers, how many files did he buy?

Q16 Open-ended 1 mark

Write nine hundred and four thousand and one in figures.

Q16 Structured 5 marks 🖼 Visual

The patterns are made up of sticks. The sticks are used to form squares and triangles. The first three patterns are shown below. a) Complete the table. Find the number of triangles and the number of sticks used in pattern 4. b) In which pattern number would 110 sticks be used?

Q17 Open-ended 5 marks

Adrian, Ben and Calvin share 436 marbles. After Adrian gave away 2/5 of his marbles, the ratio of the number of marbles he has to Ben became 4 : 9. When Calvin lost 1/3 of his marbles, the total number of marbles the children has was 352. How many marbles did Calvin have at first?

Q17 Open-ended 1 mark

Form the greatest odd number using the digits 3, 7, 4, 8.

Q18 Open-ended 5 marks

Jodie has 20% more red beads than green beads. Her friend gave her 50 more orange beads than red beads. She mixed 20% of each of the coloured beads to make a total of 22 bracelets. She had used 298 red and orange beads for all the bracelets. How many beads were there in each bracelet?

Q18 Open-ended 1 mark

Express 4 hundreds, 53 tenths and 9 thousandths as a decimal.

Q19 Open-ended 1 mark

36 : 16 = ____ : 24. Find the missing number in the box.

Q20 Open-ended 1 mark

48 kg of flour are packed equally into several packets. Each packet contained 3/8 kg of flour. How many packets of flour are there?

Q21 Open-ended 1 mark 🖼 Visual

The figure is made up of identical squares. AB is the line of symmetry of the figure shown below. Shade 3 more squares to make the figure symmetrical.

Q22 Open-ended 1 mark 🖼 Visual

The figure below shows a solid made up of identical unit cubes. The solid is dipped into a can of paint. How many of the unit cubes have only 3 of its faces painted?

Q23 Open-ended 1 mark

Mrs Lim drove from Singapore to Malacca at 8.35 a.m. She reached Malacca at 3 p.m. How long did her journey take? Express your answer in simplest form.

Q24 Open-ended 1 mark

What percentage of 2 m is 10 cm?

Q25 Open-ended 1 mark 🖼 Visual

ABC is a straight line. Draw a line perpendicular to ABC in the southwest of B.

Q26 Open-ended 2 marks

Express 3/7 as a decimal and correct the answer to 2 decimal places.

Q27 Open-ended 2 marks

Ken brought 4/5 of his daily allowance to school. He used 2/3 of it on food and used the rest of the money to purchase an exercise book. What fraction of his daily allowance was used to purchase the exercise book?

Q28 Open-ended 2 marks

A group of boys sat for a test. The average marks scored by the boys is 65 marks. Mary's marks is 86. With Mary's marks, the new average marks of the children is 68. How many boys are there in the group?

Q29 Open-ended 2 marks 🖼 Visual

ABCD is a rectangle. DBF is a straight line. Find ∠DAC.

Q30 Open-ended 2 marks 🖼 Visual

Shade the unit shape that is incorrectly tessellated. Extend the tessellation by drawing another 2 unit shapes in the space given below.