Q1
Open-ended
2 marks
Mr Ang worked from 12.45 p.m. to 8.45 p.m. What fraction of the 24-hour day did he spend working? Give your answer in the simplest form.
P6 Mathematics SA1 2014 — Tao Nan
Source: Tao Nan, 2014
This P6 Mathematics SA1 paper from Tao Nan (2014) covers measurement, percentage, money, fractions, geometry and angles and ratio 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
7 ones, 4 tenths and 1 thousandths is __________.
Q2
MCQ
1 mark
Round off 567 895 to the nearest ten.
Q2
Open-ended
2 marks
The total mass of Alan, Ben and Carl is m kg. Ben's mass is 32 kg. Alan and Carl have the same mass. Express Alan's mass in terms of m.
Q3
Open-ended
2 marks
Mr Ng held a gathering at his house. 60% of the guests were men and the rest were women. 10% of the men and 20% of the women were his neighbours. What percentage of his guests were not his neighbours?
Q3
MCQ
1 mark
9090 g is the same as __________.
Q4
MCQ
1 mark
Arrange these fractions in order starting with the greatest.
4/7 , 4/5 , 4/11
Q4
Open-ended
2 marks
In a game, a participant must score an average of 95 or more points for 3 rounds in order to advance to the final round. Peter obtains 90 and 99 for the first 2 rounds. What is the lowest score he needs to obtain so that he can advance to the final round?
Q5
MCQ
1 mark
Which of the following is not equivalent to 18 : 12?
Q5
Open-ended
2 marks
🖼 Visual
The figure below, not drawn to scale, is made up of squares. If the area of the figure is 648 cm², what is the perimeter of the figure?
Q6
Structured
3 marks
🖼 Visual
The pattern in the box below shows part of a tessellation.
(a) Shade a unit shape of the tessellation. [1m]
(b) Extend the tessellation by drawing two more unit shapes in the space provided in the box. [2m]
Q6
MCQ
1 mark
What is the missing number in the box?
19/11 + 4/11 = 2 + [ ]/11
Q7
Structured
3 marks
There were some pies and cakes for sale in a pastry shop. 1/4 of the pastries were pies. The pastry chef then baked an equal number of pies.
(a) Will the percentage of cakes increase, decrease or remain the same?
(b) What percentage of the pastries will be cakes?
Q7
MCQ
1 mark
Mr Wee is 12n years old. How old was he five years ago?
Q8
Structured
3 marks
🖼 Visual
(a) Name the solid.
(b) Complete the net of the above solid. [2m]
Q8
MCQ
1 mark
🖼 Visual
The table shows the time taken by 4 runners in a race. Who came in first?
Q9
Open-ended
3 marks
Mr and Mrs Cheng went on an excursion with their 6 children. An average amount of $84 was spent by each adult while an average amount of $62 was spent on each child. What was the average amount of money spent on each person?
Q9
MCQ
1 mark
Express 1 1/20 hours in minutes.
Q10
Open-ended
3 marks
Mrs Dewi has some sweets for pupils in the Maths Club. If she gives each pupil 2 sweets, she will have 3 sweets left. If she gives each pupil 3 sweets, she will need 42 more sweets. How many sweets does she have?
Q10
MCQ
1 mark
Express 1.2% as a fraction in its simplest form.
Q11
Open-ended
3 marks
🖼 Visual
The figure below, not drawn to scale, shows 3 triangles overlapping one another. The ratio of the area of Triangle A to the area of Triangle B to the area of Triangle C is 1 : 2 : 3. 1/5 of Triangle A is shaded. What fraction of the figure is unshaded?
Q11
MCQ
2 marks
In a stationery shop, plastic folders are sold in boxes of 5 packs. Each box is sold at $2. Mrs Wee has $13. What is the maximum number of packs of plastic folders she can buy?
Q12
Structured
4 marks
At first, Frank had 7/12 of the number of cards Gary had. Then, Gary gave Frank 70 cards and both had the same number of cards.
(a) How many fewer cards did Frank have than Gary at first?
(b) How many cards were there altogether?
Q12
MCQ
2 marks
🖼 Visual
The diagram below shows three cubes on a balance scale. The mass of Cube A is 3 kg. What is the average weight of the three cubes?
Q13
MCQ
2 marks
🖼 Visual
In the diagram above, D, E and F are three points on the ground. In what direction is D from E?
Q13
Structured
4 marks
🖼 Visual
The table below shows Mrs Lau's expenditure on groceries and transportation from January to May in a year.
(a) In which month was the expenditure on groceries 150% of that in May?
(b) What was the percentage increase/decrease in expenditure from March to April?
Q14
MCQ
2 marks
🖼 Visual
The figure below shows a cube. Which one of the following is not a net of the cube?
Q14
Open-ended
4 marks
In a test, 10 marks were awarded for every question answered correctly. 5 marks were deducted for every question answered incorrectly. A candidate answered 7 questions incorrectly and scored 195 marks. Find the total number of questions in the test.
Q15
MCQ
2 marks
John placed ten plastic bowling pins in a row at equal distances. The distance between the first and fifth pin was 60 cm. Calculate the distance between the first and tenth pin.
Q15
Structured
5 marks
🖼 Visual
In the diagram below, not drawn to scale, ABCD is a rhombus. BEF and BHG are straight lines. DA is parallel to FG.
(a) Find ∠GBF.
(b) Find ∠FBC.
Q16
Open-ended
1 mark
Write down the greatest common factor of 24 and 72.
Q16
Structured
5 marks
Ahmad receives $5 more pocket money than Faizal each week. Both spend $15 per week on food and save the rest. After a few weeks, Ahmad saves $72 but Faizal only saves $32.
(a) What is Ahmad's weekly pocket money?
(b) Faizal wants to buy a watch that costs $44. How many more weeks must he save in order to buy it?
Q17
Structured
5 marks
Meg and Lea have some white and black bands.
The number of white and black bands that Meg has are in the ratio 7 : 8.
Lea has twice as many white bands as black bands.
Meg gives half of her black bands to Lea and has 132 bands left.
In the end, the ratio of the number of white bands to the number of black bands that Lea has becomes 5 : 4.
(a) How many black bands has Meg given to Lea?
(b) How many bands does Lea have in the end?
Q17
Open-ended
1 mark
Use all the digits 2, 4, 6 and 8 to form the greatest four-digit number that is divisible by 4.
Q18
Structured
5 marks
At Shop A, Mr Tang bought a laptop for $2400 which was 20% more than the price that Shop B sold it for.
(a) How much did Shop B sell the laptop at?
(b) During a sale, both shops offered an equal percentage discount on the same laptop. Mr Tang bought a second laptop at Shop B and paid $320 less than the discounted price in Shop A. What was the percentage discount?
Q18
Open-ended
1 mark
🖼 Visual
The time is half past 12. Draw the hour hand on the clock face to show the time.
Q19
Open-ended
1 mark
Divide 4003.5 by 5. The answer is _________.
Q20
Open-ended
1 mark
Pole A is 1.48 m long. Pole B is 9 cm shorter than Pole A. What is the length of Pole B?
Q21
Open-ended
1 mark
Vegetables are sold at 25¢ per 100 g in a grocery shop. What is the price of 1 kg of vegetables?
Q22
Open-ended
1 mark
🖼 Visual
Using a dotted line, draw a line of symmetry on the figure below.
Q23
Open-ended
1 mark
🖼 Visual
What is the percentage represented by the letter J?
Q24
Open-ended
1 mark
🖼 Visual
In the diagram below, not drawn to scale, ABCD is a trapezium. AB is parallel to DC and CE is a straight line. Find ∠CDA.
Q25
Open-ended
1 mark
A bottle is 1/6 full of water. The water is then poured into an empty cup which has a volume 1/2 that of the bottle. What fraction of the cup is filled with water?
Q26
Open-ended
2 marks
There are cows, goats and sheep in a farm. The ratio of the number of cows to the number of goats is 2 : 3. The ratio of the number of sheep to the number of goats is 16 : 15. What is the ratio of the number of sheep to the number of goats to the number of cows at the farm?
Q27
Open-ended
2 marks
A box contains the same number of five-cent coins and ten-cent coins. The total value of the coins is $30. How many ten-cent coins are there in the box?
Q28
Open-ended
2 marks
Shah spent 40% of his money on a book and 5% of the remainder on a pen. What percentage of his money has he left?
Q29
Open-ended
2 marks
Mr Tham is five times as old his grandson now. His grandson will be 18 years old in 3 years' time. What was their total age 5 years ago?
Q30
Open-ended
2 marks
The ratio of the area of a square to the area of a rectangle is 1 : 3. The area of the rectangle is 12 cm². Find the perimeter of the square.