This P6 Mathematics SA2 paper from Tao Nan (2018) covers measurement, geometry and angles, area and perimeter, average, rate and speed, patterns and algebra and money across 46 questions worth 98 marks. Practise Mathematics the way it's tested at P6 level in Singapore, with step-by-step answers on LearnBuddy.
There are 105 passengers in a train carriage. The ratio of the number of adults to the number of children is 2 : 1. Then, 15 adults and 10 children alighted from the train. What is the new ratio of the number of adults to the number of children? (Leave your answer in its simplest form)
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
Devi bought r packets of flour. Each packet contained 2 kg of flour. She used 1 kg of flour and gave r kg of flour to her mother. How much flour was left?
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
Janah spent 1 h 45 min watching a movie. It ended at 1.15 p.m. What time did the movie start?
Q5MCQ1 mark🖼 Visual
ABCD is a parallelogram. Which of the following is false?
Q5Open-ended2 marks🖼 Visual
The pattern is made up of 4 identical circles. The ink tip of a machine moves a total distance of 44 m to trace out the pattern as shown below. Every part of the pattern is traced only once. Find the distance between A and B. (Take π = 22/7)
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
The total value of the numbers printed on some cards is 504. Each card is printed with a different 3-digit odd number. The average value of all the numbers is 126. The difference between the greatest and smallest number is 6. Find the smallest number printed on the cards.
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
A jar contains 24 red beads, 56 blue beads and 20 green beads. What is the ratio of the number of blue beads to the number of red and green beads?
Q9Structured3 marks🖼 Visual
The solid as shown in Figure 1 is built using 1-cm cubes. (a) Looking at the solid from the front view, draw its top view in the given square grid. [1] (b) Identical 1-cm cubes are added to form a new solid as shown in Figure 2. (i) How many 1-cm cubes are added to form the new solid? (ii) Find the volume of the new solid.
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
Arrange the following numbers from the greatest to the smallest. 62% , 0.63 , 3/5
Q11Open-ended3 marks🖼 Visual
The figure is made up of a circle and 2 identical right-angled triangles. W is the centre of the circle. 11/28 of Triangle VWY is shaded. Find the ratio of the area that is not shaded to the total area of the figure.
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
JKLM is a rectangle. JK is thrice the length of PQ. The shaded area is 5 cm². Find the area of JKLM.
Q12Structured4 marks🖼 Visual
The bar graph shows the number of each brand of pen sold in a shop. The prices of the pens are shown in the table: A $3.50, B $2.40, C $2.50, D $1.80. (a) How many Brand B pens were sold? (b) There were twice as many Brand D pens as Brand A pens sold. Draw the bar to show the number of Brand D pens sold. (c) Each statement below is either true, false or not possible to tell from the graph. For each statement, put a tick (✓) in the correct column. (i) The greatest amount of money is collected from the sale of Brand B pens. (ii) The shop makes the most amount of money from the sale of Brand D pens.
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
Saleh has $7. He lends $3 to his sister and spends $y. His father gives him twice the amount of money he spends. How much money does Saleh have now?
Q13MCQ2 marks🖼 Visual
The base area of the container is 16 m². The length of one side of its base is half the height of the container. Find the volume of the container.
Q13Structured4 marks🖼 Visual
Plastic bricks measuring 6 cm by 2 cm by 3.6 cm each are put into a cubical box with a flap cover. (a) How many bricks touch only the base of the box? (b) Find the most number of bricks that can be put inside the box such that the cover can be closed completely. The diagrams are not drawn to scale.
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
1 + 2 + 3 + … + 23 + 24 + 25. When the first 25 whole numbers are added, what is the digit in the ones place of this total?
Q14Open-ended4 marks🖼 Visual
35 ℓ of water is used to fill up bottles of 3 different capacities as shown above (Small 250 mℓ, Medium 500 mℓ, Large 750 mℓ). There is an equal number of small-sized bottles and large-sized bottles. The number of medium-sized bottles is three times the number of small-sized bottles. How much water is used to fill up all the medium-sized bottles?
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
From the square marked 'X', a chess piece is moved 2 squares northeast and 1 square west. Which of the following is the position of the chess piece now?
Q15Open-ended5 marks🖼 Visual
The cardboard, not drawn to scale, has a perimeter of 64 cm. It has holes punched in such a way that each hole has equal distance from the ones around it and from the sides of the cardboard. There are 10 holes along its length. The diameter of each hole is 1 cm. Find the number of holes along its breadth.
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
Shop A and Shop B sold two types of mobile phones at the prices shown (Yozo $599, Zany $999). Shop A and Shop B sold the same number of mobile phones last month. Shop A sold 13 Yozo phones and some Zany phones. Shop B sold 15 Zany phones and some Yozo phones. The total amount Shop A collected was $2000 less than Shop B. (a) How many Yozo phones did Shop B sell? (b) How much money did Shop A collect?
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
A housewife buys a 5-kg pack of rice grains. The graph shows the amount of rice grains left at the end of each day for a week. (a) On which day was the most amount of rice grains consumed? (b) What percentage of the 5-kg pack of rice grains was consumed by Day 3? (c) 200 g of rice grains fills 1 measuring cup. How many cups of rice grains were left at the end of Day 7?
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
A mug is 1/3-filled with water. Samad pours all the water into a bottle which has a volume twice that of the mug. What fraction of the bottle is filled with water?
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
The table below shows the results of a survey on 500 pupils. Survey question: How often do you and your family eat out in a week? Group A — size: a small number, response: not at all. Group B — size: twice that of Group A, response: once. Group C — size: more than half, response: twice. Group D — size: 125 pupils, response: thrice or more. A pie chart is drawn to represent the results of the survey. Write letters A, B, C and D in the correct part of the pie chart.
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
A rectangular tank 40 cm long, 15 cm wide and 12 cm high is filled with 6 ℓ of water. Find the increase in height of the water level when it is filled to the brim.
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
A number has three decimal places. When rounded to the nearest tenth, the value of the number is 1.3. What is the greatest and smallest possible value of the number?
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
