Q1
MCQ
1 mark
Round 5.355 to 2 decimal places.
P6 Mathematics SA1 2016 — Tao Nan
Source: Tao Nan, 2016
This P6 Mathematics SA1 paper from Tao Nan (2016) covers geometry and angles, money, measurement, percentage, average, rate and speed and fractions across 47 questions worth 98 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
Q2
MCQ
1 mark
Which of the following is the same as 7 050 g?
Q3
MCQ
1 mark
🖼 Visual
LMOP is a trapezium. MO is parallel to LP. Find ∠MPO.
Q4
MCQ
1 mark
Leo had $60. He spent $18 on food. What percentage of his money had he left?
Q5
MCQ
1 mark
In a class of 39 students, 12 are boys. What is the ratio of the number of boys to the number of girls?
Q6
MCQ
1 mark
Alice, Betty, Cally and Diane played badminton this morning. Each girl played with each other only once. How many games were played altogether?
Q7
MCQ
1 mark
HAPPYHAPPYHAPPY……… What will be the 100th letter in the pattern above?
Q8
MCQ
1 mark
The average mass of Aaron and Ben is 45 kg. Aaron's mass is 80% of Ben's mass. Find the mass of Ben.
Q9
MCQ
1 mark
🖼 Visual
QS is parallel to TW. RU = RV. Find ∠VRS.
Q10
MCQ
1 mark
0.5% is the same as ____.
Q11
MCQ
2 marks
10 lanterns were hung at equal distance apart in a row. The distance between the first and the fourth lantern is 24 m. What is the distance between the first and the tenth lantern?
Q12
MCQ
2 marks
Madam Ang bought 5 pears and 6 mangoes for $11.90. A pear cost 40 cents more than a mango. What was the cost of each mango?
Q13
MCQ
2 marks
Kylie, Linda and Melisa shared a sum of money. Kylie received 1/5 of the sum of money. The ratio of Linda's share to Melisa's share was 3 : 5. If Kylie received $80, how much money did Linda receive?
Q14
MCQ
2 marks
🖼 Visual
The area of the rectangle is 24 cm². What is the possible perimeter of the rectangle? (The length and breadth are whole numbers.)
Q16
Open-ended
1 mark
Express 55/1000 as a decimal.
Q17
Open-ended
1 mark
Find the value of 4/5 ÷ 20. Give your answer as a fraction in the simplest form.
Q18
Open-ended
1 mark
What is the value of 3 + 3 ÷ 3 − 3 ?
Q19
Open-ended
1 mark
Sam's pocket money was increased from $15 to $18. Find the percentage increase in his pocket money.
Q20
Open-ended
1 mark
The volume of a cube is 64 cm³. Find the length of one edge of the cube.
Q21
Open-ended
1 mark
🖼 Visual
The figure, not drawn to scale, is made up of a square and an equilateral triangle. Calculate ∠CDB.
Q22
Open-ended
1 mark
🖼 Visual
The table below shows the number of television sets per flat in a housing estate. How many flats have at least 2 television sets?
Q23
Open-ended
1 mark
12 watches cost $a. What is the cost of 18 watches in terms of a?
Q24
Open-ended
1 mark
What is the missing number in the box? 4 : 14 = [ ] : 63
Q25
Open-ended
1 mark
How many ninths are there in 7/3 ?
Q26
Open-ended
2 marks
🖼 Visual
The car park rate is shown below. Devi parked her car in the car park from 11 a.m. to 11.45 a.m. How much did she have to pay?
Q27
Open-ended
2 marks
For every $1.50 George put into his piggy bank, his mother put in another 50 cents. When George had a total of $100 in his piggy bank, what was the amount of money put in by his mother?
Q28
Open-ended
2 marks
🖼 Visual
A, B, C, D and E represent five 2-digit numbers. The average of these 5 numbers is 20. What number does D represent?
Q29
Open-ended
2 marks
🖼 Visual
The figure is made up of 3 pairs of equilateral triangles. The length of AB is 21 cm. What is the perimeter of the figure?
Q30
Open-ended
2 marks
🖼 Visual
ABCD is a rhombus. EC is parallel to FD. ∠BAD = 120°. ∠CDF = 20°. Find ∠ECB.
Q31
Open-ended
2 marks
[Paper 2] ____. Sally is 9 years old. Her age is 1/4 of her mother's age now. How old will her mother be in 5 years' time?
Q32
Open-ended
2 marks
🖼 Visual
[Paper 2] ____. The figure below is made up of rectangles of the same size. What fraction of the figure is shaded?
Q33
Open-ended
2 marks
[Paper 2] ____. Cindy had 5/9 l of water. She drank 1/3 of it and kept the rest. How much water was left?
Q34
Open-ended
2 marks
[Paper 2] ____. 2/5 of Lily's savings is equal to 1/4 of Meiyin's savings. What fraction of Lily's savings is Meiyin's savings?
Q35
Open-ended
2 marks
🖼 Visual
[Paper 2] ____. Study the following table carefully. Which column will the number 63 appear in?
Q36
Structured
3 marks
[Paper 2] ____. Grace has 1/3 as many 50-cent stamps as 20-cent stamps. There are 6p more 20-cent stamps than 50-cent stamps. (a) Express the number of 20-cent stamps in terms of p. (b) How much did she spend on the 20-cent stamps when p = 8? Give your answer in dollars.
Q37
Open-ended
3 marks
🖼 Visual
[Paper 2] ____. The figure, not drawn to scale, is made up of Triangle BCD and Rhombus ABED. ∠BCD is twice the size of ∠CBE. Find ∠CBE.
Q38
Structured
3 marks
🖼 Visual
[Paper 2] ____. The bar graph below shows the number of books sold at a Book Sale. (a) There were 2/3 as many Horror books as Travel books sold. Draw a bar to represent the number of Horror books sold. (b) On average, each customer bought 4 books and all the books were sold. How many customers were at the Book Sale?
Q39
Open-ended
3 marks
[Paper 2] ____. At a playground, 7 children took turns to sit on the three swings from 12 noon to 3.30 p.m. At any one time, all the three swings were occupied, one child to one swing, while the other 4 children waited. If each child had the same amount of playing time, how many minutes did each child play on the swing?
Q40
Structured
4 marks
[Paper 2] ____. Joy and Tricia shared the total cost of a tablet. Joy paid $100 less than 2/7 of the cost of the tablet. Tricia paid $536. (a) How much did the tablet cost? (b) How much did Joy pay?
Q41
Structured
4 marks
🖼 Visual
[Paper 2] ____. The figure is made up of a square and two rectangles. The ratio of the area of Rectangle A to the area of Square B to the area of Rectangle C is 3 : 2 : 6. 1/4 of Square B is shaded. (a) What fraction of the figure is not shaded? (b) If the area of Rectangle C is 48 cm², find the area of the figure.
Q42
Open-ended
3 marks
[Paper 2] ____. The average marks for a group of pupils was 13. After Johana joined the group, their average marks became 15. If Johana scored 35 marks, how many pupils were there at first?
Q43
Open-ended
3 marks
🖼 Visual
[Paper 2] ____. The area of the trapezium is 60 cm². AB = 8 cm and AD = 6 cm. Find the length of DC.
Q44
Open-ended
4 marks
[Paper 2] ____. Alex had a total of 69 white and pink golf balls. He gave away 27 pink golf balls and bought more white golf balls. The number of white golf balls then increased by 60%. Finally, he had a total of 72 golf balls. How many pink golf balls did he have at first?
Q45
Structured
5 marks
[Paper 2] ____. There were equal number of male and female goats at first. 7 male goats and 13 female goats were sold. As a result, the ratio of the number of male to the female goats became 7 : 5. (a) How many female goats were left? (b) How many goats were there at first?
Q46
Open-ended
5 marks
[Paper 2] ____. Joy and Eton shared some books. Joy's share was 30 less than Eton's share. After Eton gave 1/3 of his share to Joy, Joy had 12 more than Eton. How many books did Joy have at first?
Q47
Structured
5 marks
🖼 Visual
[Paper 2] ____. A bookshop sold two types of pens in packs at the prices shown below. 'A' Pens: Pack of 9 pens for $8. 'Q' Pens: Pack of 3 pens for $5. (a) Adelyn spent a total of $26 on some 'A' pens and 'Q' pens. How many more 'A' pens did she buy? (b) The bookshop sold 360 pens last week. The number of 'A' pens sold was 3 times the number of 'Q' pens sold. How much money was collected from the sale of 'Q' pens last week?
Q48
Structured
5 marks
🖼 Visual
[Paper 2] ____. The diagram below shows 4 figures formed by shaded and unshaded squares. (a) Complete the table below (Figure 5: total number of squares and total number of shaded squares). (b) Find the total number of squares in Figure 13. (c) How many shaded squares are there in Figure 31?