This P6 Mathematics SA1 paper from Pei Hwa (2016) covers measurement, area and perimeter, ratio, geometry and angles, percentage and money 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.
June has some orange juice. She can fill the orange juice equally into either 4 glasses or 7 cups such that the amount of orange juice in each glass or cup is a whole number. Given that each glass or cup must have more than 5 ml of orange juice, what is the least amount of orange juice she must have?
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
What is six million, four hundred and five thousand and eleven?
Q2Structured2 marks
Rosita mixed cups of milk, syrup and water in the ratio of 2 : 3 : 7 to make a drink for a party. If she used 36 cups of milk, how many cups of drink did she make?
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
The figure below shows 4 shaded identical circles within 2 unshaded circles. The diameter of the small unshaded circle, AB, is 4 cm. What fraction of the biggest circle is shaded?
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
Robin is 2 1/3 times as old as Jonathan. Find the ratio of Robin's age to the total age of the two boys.
Q6Structured3 marks
Dean, Edric and Jonas had a total of 275 marbles. Edric had twice as many marbles as Dean. Jonas had 40 marbles fewer than Edric. How many marbles did Edric have?
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
Dylan is 5/6 as tall as Gilbert. Colin is 7/10 as tall as Dylan. What is the ratio of Dylan's height to Gilbert's height to Colin's height?
Q7Structured3 marks
2/7 of the number of lego blocks Tevin has is equal to 3/5 of the number of lego blocks Ryker has. The two boys have 930 lego blocks altogether. How many lego blocks does Tevin have?
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
There were 550 plates, cups and bowls in a shop. When 3/7 of the plates and 22 cups were sold, the ratio of the number of plates to the number of cups to the number of bowls became 8 : 3 : 5. How many bowls were there in the shop at first?
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
The radius of a circle is 14 cm. What is its circumference? (Take π = 22/7)
Q9Structured3 marks
The usual price of a dress was $30. It was given a 20% discount during a sale. A GST of 7% was charged on the discounted price. Ai Swee paid the dress with a $50 note. How much change did she receive?
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
Ah Huat bends a piece of wire to form a figure made up of five semi-circles as shown below. The 2 big identical semi-circles have a radius of 8 cm each and the other 3 small identical semi-circles have a radius of 5 cm each. Find the length of the wire. (Take π = 3.14)
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
Chip ate 1/9 of a chicken pie and gave away 3/4 of the remainder to Dale. What fraction of the chicken pie did Chip have left?
Q12Structured4 marks
Three identical basins, A, B and C, were each filled with some water. Basin A had a mass of 3.8 kg when it was 1/2 full. Basin B had a mass of 2 kg when it was 1/5 full. What fraction of Basin C was filled with water when the mass was 5.6 kg? Express 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.
Find the perimeter of the semicircle in terms of π.
Q13MCQ2 marks🖼 Visual
The figure below is made up of three squares, A, B and C. A has side 3 cm, B has side 5 cm and C has side 6 cm. What is the perimeter of the figure?
Q13Structured4 marks
30% of the buffaloes in a herd were males. When 60 more female buffaloes joined the herd, the percentage of male buffaloes in the herd dropped to 20%. How many male buffaloes were there in the herd?
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
Apples are sold only in packs of 5 for $4. What is the maximum number of apples that can be bought with $22.40?
Q14Structured4 marks🖼 Visual
Two wheels shown below with centres A and B are 230 cm apart. The diameter of the big wheel is 70 cm. The ratio of the radius of the small wheel to the radius of the big wheel is 2 : 5. Both wheels are rolled out in opposite direction shown until they are 2694 cm apart. The two wheels need to make the same number of revolutions. How many revolutions does each wheel make assuming that each wheel must make a complete revolution? (Take π = 22/7)
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
Ben, Clive and Dave shared $900. Clive received 20% more than Ben. Dave received 20% less than Ben. How much more did Clive receive than Dave?
Q15Structured4 marks
The ratio of the area of Rectangle A to that of Rectangle B is 9 : 4. When 34 identical 2-cm squares are added to Rectangle B, it becomes a square. Find the perimeter of the square if Rectangle A has an area of 423 cm².
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
Abigail and Bonnie had $2880 altogether. Abigail had $400 less than Bonnie. During a shopping trip, Abigail spent 4 times as much money as Bonnie. Bonnie then had twice as much money left as Abigail. How much more money did Bonnie have left than Abigail?
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
There were some pencils and pens in a box. If 5 pencils were removed from the box, the number of pencils left would be 1/6 of the total number of remaining pencils and pens. If 9 pens were removed from the box, the number of pencils would be 1/3 of the number of pens left. How many pencils and pens were there in the box?
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
There were two crates of fruits at a fruit stall. Each crate contained some mangoes and papayas. The ratio of the number of mangoes to the number of papayas in Crate A was 11 : 8. In Crate B, the ratio of the number of papayas to the number of mangoes was 6 : 5. Half of the papayas from Crate A were transferred to Crate B. In the end, the total number of fruits in Crate A was 195 and the ratio of the number of mangoes to the number of papayas in Crate B was 9 : 16. How many fruits were there in Crate B in the end?
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
Mrs Pavia bought a book and a pen. The price of a pen is 60% that of a book. The book costs $10 more than the pen. Find the amount Mrs Pavia paid for the two items.
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
Rectangle ABCD is divided into 9 identical small rectangles as shown. Given that the perimeter of rectangle ABCD is 46 cm, find the perimeter of one small rectangle.
Sign up free to write your answer — AskBuddy AI will mark it instantly and explain where you went wrong.
