Q1
MCQ
1 mark
Which one of the following is the lowest common multiple of 4 and 6?
P6 Mathematics SA1 2014 — Nanyang
Source: Nanyang, 2014
This P6 Mathematics SA1 paper from Nanyang (2014) covers measurement, money, area and perimeter, geometry and angles, 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.
Q2
MCQ
1 mark
Find the value of 349 ÷ 8.
Q3
MCQ
1 mark
Peter's salary of $3000 was increased by 20%. How much is his salary now?
Q4
MCQ
1 mark
Roy draws a 4-sided figure. Only one pair of its opposite sides is parallel.
Which one of the following is the name of the 4-sided figure that Roy has drawn?
Q5
MCQ
1 mark
🖼 Visual
In the figure below, LMN is a straight line.
What is the area of triangle KLM?
Q6
MCQ
1 mark
Simplify the following algebraic expression.
18 + 13a + 2 − 10a
Q7
MCQ
1 mark
🖼 Visual
The graph below shows how a group of pupils travels to school. How many more pupils take bus and MRT than walk to school?
Q8
MCQ
1 mark
Mary bought some flour. She used 1/3 of the flour to bake a cake and 2/5 of the flour to make some muffins. What fraction of the flour was left?
Q9
MCQ
1 mark
Miss Lee bought a refrigerator for $1070, inclusive of 7% GST. How much did she pay for the GST?
Q10
MCQ
1 mark
In a box, there are only red and blue marbles. The ratio of the number of red marbles to the number of blue marbles is 3 : 5. There are 60 red marbles. How many marbles are there in the box?
Q11
MCQ
2 marks
Find the perimeter of a semicircle of radius 10 cm.
(Take π = 3.14)
Q12
MCQ
2 marks
Arrange the following numbers from the largest to the smallest.
7, 7.7, 7.07
Q13
MCQ
2 marks
Sam had 2/3 as many stickers as John. John had 7/4 as many stickers as Peter. Peter had 24 stickers. What was the total number of stickers Sam and John had?
Q14
MCQ
2 marks
🖼 Visual
In the figure below, ABCD, EBF and FCG are straight lines.
∠AEB = 120°, ∠DCG = 70° and EA = EB. Find ∠EFG.
Q15
MCQ
2 marks
🖼 Visual
In the figure below, JKLM is a rectangle and MNL is a right-angled triangle. MN = 8 cm, LN = 6 cm and LM = 10 cm. Find the length of KL.
Q16
Open-ended
1 mark
Belinda is 3k cm tall. Sharon is 3 times as tall as Belinda. Express the total height of the two girls in terms of k.
Q17
Open-ended
1 mark
Find the difference between 4182 and 7609.
Q18
Open-ended
1 mark
Find the value of 24 − ( 5 + 8 ) − 3 + 2 × 2.
Q19
Open-ended
1 mark
Express 3 3/50 as a decimal.
Q20
Open-ended
1 mark
Round off 766.849 to the nearest tenth.
Q21
Open-ended
1 mark
Express 5.5 cm in metres.
Q22
Open-ended
1 mark
🖼 Visual
In the figure below, PQ and RS are straight lines. Find ∠y.
Q23
Open-ended
1 mark
Pauline has $20 000 in a bank which pays 3% interest at the end of each year. Find the amount of interest Pauline gets in a year.
Q24
Open-ended
1 mark
🖼 Visual
The graph shows the number of football magazines sold during a 5-day period. What is the total sales for the 5 days when each magazine costs $3?
Q25
Open-ended
1 mark
The ratio of Mei Mei's money to Li Li's money was 3 : 2. After Mei Mei spent $30, the ratio became 4 : 3. How much money did Mei Mei have at first?
Q26
Open-ended
2 marks
The total mass of 600 identical paper clips is 522 g.
What is the total mass of 30 such paper clips?
Q27
Open-ended
2 marks
At first, Mrs Tan spent 1/4 of her money on food and $50 on transport. She had 1/3 of her money left. How much money did she have at first?
Q28
Open-ended
2 marks
A jar filled with 300 identical marbles weighed 6150 g.
The same jar when filled with 100 such marbles weighed 2550 g.
What was the total mass of 400 such marbles?
Q29
Open-ended
2 marks
🖼 Visual
The figure below shows two identical circles with centres at G and H. The radius of the circle is 14 cm. Find the perimeter of the shaded part. (Take π = 22/7)
Q30
Open-ended
2 marks
Bala bought two watermelons and five mangoes. The average mass of the watermelons is 3 kg 500 g and the average mass of the mangoes is 600 g. Find the total mass of the fruits he bought. Express your answer in kg.
Q31
Open-ended
2 marks
Cindy has a total of 210 balls in a box. She has 42 red balls, 28 green balls and the rest are yellow balls. What is the ratio of the number of red balls to the number of yellow balls? Leave your answer in the simplest form.
Q32
Open-ended
2 marks
Samantha saved $m. Doris saved $(40 + m) more than Samantha. Julie saved $24 less than Doris. Find the total savings of the three girls when m = 50.
Q33
Open-ended
2 marks
Jake's salary is half of Ali's salary but thrice of Kumar's salary. Express Kumar's salary as a fraction of Ali's salary.
Q34
Open-ended
2 marks
🖼 Visual
Two sides of a parallelogram PQRS have been drawn in the square grid shown below. Complete the drawing of the parallelogram PQRS.
Q35
Open-ended
2 marks
The perimeter of a rectangle is 336 cm. Its length is thrice its breadth. Find its length.
Q36
Structured
3 marks
Mrs Rajaratnam has 12.5 m of thread. She cuts the thread equally into shorter pieces. Each of the shorter pieces measures 2 m.
(a) How many 2-m pieces are there? [1]
(b) What is the length of the remaining piece? [2]
Q37
Open-ended
3 marks
1/4 of Abdullah's age is equal to 2/3 of Hussein's age. The ratio of Hussein's age to Siti's age is 2 : 3. Abdullah is 42 years older than Siti. How old is Hussein?
Q38
Open-ended
3 marks
🖼 Visual
In the figure below, STUV is a rhombus.
∠UWT = 65° and ∠WUS = 11°. Find ∠SVU.
Q39
Open-ended
3 marks
🖼 Visual
The figure below is made up of a quadrant and 2 identical semicircles. The radius of the semicircle is 7 cm. Find the total area of the shaded parts.
(Take π = 22/7)
Q40
Open-ended
3 marks
🖼 Visual
The graph shows the number of brownies sold by Mrs Smith from Monday to Friday. Each brownie was sold for the same price. The total amount of money collected for the first 5 days of the week was $520. She collected $200 on Saturday. How many brownies did she sell on Saturday?
Q41
Open-ended
4 marks
Melissa collected some beads. 20% of them were golden beads. 9/20 of them were silver beads and the rest were bronze beads. There were 300 more bronze beads than golden beads. How many beads did she collect altogether?
Q42
Open-ended
4 marks
Justina had 72 more Singapore stamps than Malaysian stamps. She gave away some Singapore and Malaysian stamps. The number of Singapore stamps she gave away was 3/4 of the number of Malaysian stamps she had at first. The number of Malaysian stamps she gave away was 1/2 the number of Singapore stamps she had at first. In the end, she had an equal number of each type of stamps. How many Singapore stamps did Justina have at first?
Q43
Structured
4 marks
🖼 Visual
Look at the pattern below carefully.
(a) Draw the ♡ in the correct position(s) in the 35th column. [1]
(b) What is the total number of ♡ in the first 43 columns? [3]
Q44
Structured
5 marks
The number of toy cars Keith had was 1/5 the number of paper aeroplanes. After he gave 1/2 of his paper aeroplanes and 1/3 of his toy cars to his brother, he had 286 more paper aeroplanes than toy cars.
(a) How many toy cars did Keith have in the end? [3]
(b) How many toy cars and paper aeroplanes did Keith have at first? [2]
Q45
Open-ended
5 marks
In a boutique, 40% of the clothing are dresses. 70% of the remainder are skirts and the rest are pants. There are 30 more skirts than dresses. After some dresses are sold, 25% of the remaining clothing in the boutique are dresses. How many dresses are there left in the boutique?
Q46
Structured
5 marks
The ratio of Isabella's savings to Joanna's savings was 9 : 8. Isabella and Joanna shared the cost of buying a birthday present for their grandmother in the ratio of 2 : 1 respectively. Isabella used up 2/3 of her savings to pay for her share of the present. Joanna was left with $150 after paying her share.
(a) How much was Joanna's savings? [4]
(b) What was the cost of the present? [1]
Q47
Open-ended
4 marks
🖼 Visual
The figure below shows Rectangle WXYZ which is made up of 7 identical small rectangles. The area of a circle with radius 56 cm is 2.2 times the area of Rectangle WXYZ. Find the perimeter of Rectangle WXYZ. (Take π = 22/7)
Q48
Open-ended
4 marks
Meng has a total of 1296 black and white buttons. He has 720 more black buttons than white buttons. He puts all the black buttons equally into empty black boxes and puts all the white buttons equally into empty white boxes. There are thrice as many black boxes as white boxes. Each black box contains 4 more buttons than each white box. How many buttons are there in each white box?