P6 Mathematics SA1 2014 — Henry Park
Source: Henry Park, 2014
This P6 Mathematics SA1 paper from Henry Park (2014) covers geometry and angles, measurement, area and perimeter, money, average, rate and speed 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.
Q1
MCQ
1 mark
The value of 3 + 4 x 6 – 6 ÷ 3 is ____________.
Q2
MCQ
1 mark
How many eighths are there in 3 1/2?
Q3
MCQ
1 mark
Which of the following is the same as 8 050 ml?
Q4
MCQ
1 mark
🖼 Visual
The mass of the bag shown below is ________.
Q5
MCQ
1 mark
The average of five numbers is 265. What is the sum of the five numbers?
Q6
MCQ
1 mark
🖼 Visual
The line graph shows the number of stalks of flowers sold over 5 months. What was the difference in the number of stalks of flowers sold in March and May?
Q7
MCQ
1 mark
🖼 Visual
Which figure below has a line of symmetry?
Q8
MCQ
1 mark
🖼 Visual
Look at the figure shown below. Mary is facing the hawker centre at first. She then turned 225° anti-clockwise. Which one of the following places will she be facing now?
Q9
MCQ
1 mark
There are 40 pupils in a Science Enrichment class. 30% of the pupils are girls. How many boys are there in the Science Enrichment class?
Q10
MCQ
1 mark
Simplify 9p + 14 – 3p – 6.
Q11
MCQ
2 marks
Find the difference between 6 tenths and 88 hundredths. Round off your answer to the nearest tenth.
Q12
MCQ
2 marks
🖼 Visual
What is the area of the shaded triangle shown below?
Q13
MCQ
2 marks
The mass of Box A is 36 kg. The total mass of Box B and C is 3 times the mass of Box A. What is the average mass of the three boxes?
Q14
MCQ
2 marks
🖼 Visual
Study the figure below. Find ∠c.
Q15
MCQ
2 marks
Jiamin saved $30.15 from Monday to Wednesday. She saved 3 times as much money on Thursday than the total amount saved from Monday to Wednesday. How much money did she save for the 4 days?
Q16
Open-ended
1 mark
Find the difference in values of the digit 9 in 293 967.
Q17
Open-ended
1 mark
What is the missing fraction in the box? Give your answer in the simplest form. 280 = ____ x 350
Q18
Open-ended
1 mark
3 h 15 min = ________ min
Q19
Open-ended
1 mark
🖼 Visual
Find the perimeter of the semicircle shown below. (Take π = 22/7.)
Q20
Open-ended
1 mark
287 900 m = ________ km.
Q21
Open-ended
1 mark
Mrs Tan sold a total of 552 muffins from Tuesday to Friday. What was the average number of muffins Mrs Tan sold each day?
Q22
Open-ended
1 mark
🖼 Visual
The table shows the number of television sets each family in Katong housing estate has. There are 150 families in the housing estate. What percentage of the families has at least 2 television sets?
Q23
Open-ended
1 mark
🖼 Visual
AB and AD are two sides of a parallelogram. Complete the parallelogram by drawing the other two sides in the square grid below.
Q24
Open-ended
1 mark
🖼 Visual
In the figure, WXY is an equilateral triangle and XYZ is a straight line. Find ∠WYZ.
Q25
Open-ended
1 mark
Express 4.05 as a percentage.
Q26
Open-ended
2 marks
Find the average of 0.2, 0.02 and 0.002.
Q27
Open-ended
2 marks
Sam and Taufiq shared some stickers in the ratio of 5 : 2. Sam gave 1/4 of his stickers to Taufiq. What was the new ratio of the number of Sam's stickers to the number of Taufiq's stickers?
Q28
Open-ended
2 marks
Given that 5/8 of a number is 80, what is the number?
Q29
Open-ended
2 marks
The capacity of a pail is 4.5 ℓ. Jane uses 12 such pails of water to fill 5 identical tanks completely. What is the capacity of each tank?
Q30
Open-ended
2 marks
🖼 Visual
In the figure, ABCD is a parallelogram and BDE is a straight line. Find ∠BCD.
Q31
Open-ended
2 marks
A square has an area of 36 cm². Find its perimeter.
Q32
Structured
2 marks
🖼 Visual
The figure below shows a prism. (a) How many corners does it have? (b) How many faces does it have?
Q33
Open-ended
2 marks
Tin A contained 6 times as many biscuits as Tin B. Jennifer added 150 biscuits to Tin B. The 2 tins then had the same number of biscuits. Find the total number of biscuits in the 2 tins at first.
Q34
Open-ended
2 marks
🖼 Visual
In the figure below, 4 identical squares have been placed side by side to form a rectangle of perimeter 50 m. Find the area of each square.
Q35
Open-ended
2 marks
🖼 Visual
In the figure, DEG and GEF are identical right-angled isosceles triangles. H and J are the mid-points of DE and EF respectively. Find ∠FGH.
Q36
Open-ended
3 marks
There were 3 220 spectators at a stadium. 3/7 of the male and 3/4 of the female spectators did not wear sunglasses. The number of male spectators who wore sunglasses was the same as the number of female spectators who wore sunglasses. How many spectators wore sunglasses altogether?
Q37
Open-ended
3 marks
🖼 Visual
A 0.75-m long ribbon is used to tie a cubic box as shown in the picture. The tying of the bow used up 0.11 m of the ribbon. Find the length of each side of the box in metres.
Q38
Open-ended
3 marks
🖼 Visual
Figure A is made up of a rectangle and a triangle. Figure B is a rectangle. Figures A and B have the same area. Find the perimeter of Figure B.
Q39
Structured
3 marks
Alice decided to save part of her pocket money every day for a year. She saved $3 on the first day of the year. She continued to save $y more each day than the day before. (a) What was her total savings for the first 4 days of the year? (b) How much did she save on the 234th day itself?
Q40
Open-ended
3 marks
🖼 Visual
Three 2-digit numbers were written on a piece of paper. The average of the three numbers was 42. A digit of two of the numbers was covered by a stain. What were the two 2-digit numbers?
Q41
Open-ended
4 marks
🖼 Visual
The figure below shows a right-angled triangle inside a circle. The longest side of the triangle is the diameter of the circle. Given that the diameter of the circle is 10 cm, find the area of the shaded portion. (Take π = 3.14)
Q42
Open-ended
4 marks
Mrs Bala had a total of 128 apples, oranges and mangoes in the ratio of 7 : 5 : 4 respectively. After she gave away some apples and 15 mangoes, the ratio of the number of oranges to the total number of fruits left became 1 : 2. How many apples did Mrs Bala give away?
Q43
Structured
4 marks
🖼 Visual
In the figure, PQRS is a rhombus. TSU is a straight line. ∠RPQ = 39° and ∠RSU = 36°. (a) Find ∠QRS. (b) Find ∠PST.
Q44
Open-ended
4 marks
Mrs Wong was paid $5 for every cooking pot she sold. She was paid a bonus of $20 for every 8 cooking pots she sold. She earned $500 for all the cooking pots she sold. How many cooking pots did she sell?
Q45
Open-ended
4 marks
Mr Lin always saves 30% of his monthly salary. When his salary increased by 10%, his savings increased by $189. Find Mr Lin's salary before the increase.
Q46
Structured
5 marks
🖼 Visual
The figure below shows semi-circle A and quarter-circle C inside a square of side 12 cm. B is the remaining portion of the square not covered by A and C. (a) Find the perimeter of B. (b) Find the area of B. (Take π = 3.14)
Q47
Structured
5 marks
At a fruit stall, the number of watermelons was 3/5 of the number of pineapples. In the morning, 1/3 of the watermelons and 1/3 of the pineapples were sold. In the afternoon, 8 watermelons and 8 pineapples were sold. The number of watermelons left was 1/2 of the number of pineapples. (a) What was the ratio of the number of watermelons left to the number of pineapples left after they were sold in the morning? (b) How many watermelons were there at the stall at first?
Q48
Structured
5 marks
There were 20 questions in a quiz. For each question answered correctly, 6 points were awarded. For each question answered incorrectly, 4 points were deducted. For each question left blank, no points were awarded or deducted. (a) Ben answered all the questions in the quiz but obtained a score of zero. How many questions did Ben answer correctly? (b) Ray scored 16 points for the quiz. The number of questions he answered correctly was the same as the number of questions he answered incorrectly. How many questions did he leave blank?