Level 3
Vincent has some 20-cent coins and 50-cent coins which amount to more than $20 but less than $54. The number of 20-cent coins is 14 of all the coins he has. When he exchanges some 50-cent coins for 20-cent coins, the ratio of the number of 50-cent coins to 20-cent coins he now has become 1 : 6.
What is the largest possible amount of money Vincent has?
What is the total value of 50-cent coins that has been exchanged for 20-cent coins? Express the answer to 2 decimal place.
Level 3
After 20 minutes into a race, Daniel has run 58 of the route while Piolo has covered only 38 of the distance. Daniel runs at the same average speed throughout the race and Piolo's average speed is 60 m/min slower than Daniel's. If Piolo wants to finish the race at the same time as Daniel, by how many percent should he increase his average speed by for the remaining part of the race? Round off the answer to the nearest whole number.
Level 3
During a sale, the discount given by Shop A and Shop B are as shown: Shop A - Discount of $6 for every $30 spent
Shop B - 20% off Storewide
Mary wants to buy a dress. The price of the dress before discount in both shops is $280. What is the savings that Mary makes if she buys at the shop that sells the same dress cheaper?
Linda bought a belt and a handbag from Shop A and paid $168. What was the total cost of the belt and the handbag before the discount?
The price of the same handbag after discount at Shop B is $38.40. Given that the price of the handbag before discount is the same in both shops, what is the percentage discount given to the handbag at Shop A? Round off the answer to 1 decimal place.
Level 3
A newly opened furniture store was having a storewide discount of 10% off its usual price. Mrs Tan used her credit card to purchase a sofa set and Mr Nair used cash to pay for a similar sofa set.
How much did Mrs Tan pay in the end after GST? Round off your answer to the nearest cent.
How much did Mr Nair pay in the end after GST? Round off your answer to the nearest ten cent.
Level 3
A newly opened furniture store was having a storewide discount of 10% off its usual price. Mrs Tan used her credit card to purchase a sofa set and Mr Nair used cash to pay for a similar sofa set.
How much did Mrs Tan pay in the end after GST? Round off your answer to the nearest cent.
How much did Mr Nair pay in the end after GST? Round off your answer to the nearest ten cent.
Level 3
The figure is made up of a big semicircle of diameter 8 cm and 2 small semicircles with diameter 5.7 cm. Find the shaded area. Round off the answer to nearest 1 decimal place. (Take π = 3.14)
Level 3
The figure is made up of a big semicircle of diameter 8 cm and 2 small semicircles with diameter 5.7 cm. Find the shaded area. Round off the answer to nearest 1 decimal place. (Take π = 3.14)
Level 3
Willi noticed the patterns on the square tiles and tried to calculate the area of the shaded part. Leave the answer in 2 decimal places.
(Take π = 3.14)
Level 3
Willi noticed the patterns on the square tiles and tried to calculate the area of the shaded part. Leave the answer in 2 decimal places.
(Take π = 3.14)
Level 3
Copier A prints at a rate of 105 leaflets in every 3 minutes and Copier B prints at a rate of 136 leaflets in every 4 minutes. At 2 p.m., both copiers started printing. After a while, Copier A stopped printing for some time as the ink cartridges were being changed before it continued to print again. Copier B continued printing during this time. At 4 p.m., the total number of leaflets printed during the past two hours was 7930. Express the number of leaflets printed by Copier A as a percentage of the total number of leaflets printed by both copiers. Round off the answer to 2 decimal places.
Level 3 PSLE
OPQRS is part of a circle of radius 10 cm. OPR and OQS are quarter circles. The area of the shaded part OQR is 40 cm2 and the perimeter of the shaded part OQR is 30 cm. For each of the following, use the calculator value of π to find:
the area of the figure OPQRS, correct to 2 decimal places,
the perimeter of the figure OPQRS, correct to 1 decimal places.
Level 3 PSLE
OPQRS is part of a circle of radius 10 cm. OPR and OQS are quarter circles. The area of the shaded part OQR is 40 cm2 and the perimeter of the shaded part OQR is 30 cm. For each of the following, use the calculator value of π to find:
the area of the figure OPQRS, correct to 2 decimal places,
the perimeter of the figure OPQRS, correct to 1 decimal places.
Level 3
To fill a tank measuring 50 cm by 20 cm by 40 cm completely, it takes Tap A 4 minutes while it takes Tap B only 12 minutes. How long will it take to completely fill the container with water if both the taps are turned on at the same time and 8 cubic containers of edges 10 cm, filled to the brim with water are poured into the tank?
Level 2
I am a whole number. The sum of all my digits is 20. If you round me off to the nearest ten, you will get 970. If you round me off to the nearest hundred, you will get 1000. Who am I?
Level 2
I am a 3-digit number. I am divisible by 7. If you round me off to the nearest hundred, you will get 500. If you round me off to the nearest ten, you will also get 500. Who am I?
Level 3
I am an even number. When 1 is added to me and I am rounded off to the nearest ten, I become 660. When 1 is subtracted from me and I am rounded off to the nearest ten, I become 650. What number am I?
Level 3
Jonathan wants to purchase a new car which costs $134850. Jonathan will pay a monthly instalment over a period of 5 years after paying a downpayment of $12850. How much is each monthly instalment? Round your answer off to the nearest thousand.
Level 3 The figure shows a rectangle with its corners cut out. Each of the 4 identical corners cut out is a quarter circle. The ratio of the length of the rectangle to its breadth is 13 : 5.
What is the radius of each quarter circle?
What is the perimeter of the shaded part. Take π = 3.14. Give your answer correct to 1 decimal place.
Level 3 The figure shows a rectangle with its corners cut out. Each of the 4 identical corners cut out is a quarter circle. The ratio of the length of the rectangle to its breadth is 13 : 5.
What is the radius of each quarter circle?
What is the perimeter of the shaded part. Take π = 3.14. Give your answer correct to 1 decimal place.
Level 3
The figure is made up of a big quadrant OWY a small quadrant OVZ and a square VXZO. The radius of the big quadrant OWY is 12cm. The area of the big quadrant is twice the area of the small quadrant OVZ. Using the calculator value of π, find the area of the shaded parts, correct to 2 decimal places.
Level 3
The figure is made up of a big quadrant OWY a small quadrant OVZ and a square VXZO. The radius of the big quadrant OWY is 12cm. The area of the big quadrant is twice the area of the small quadrant OVZ. Using the calculator value of π, find the area of the shaded parts, correct to 2 decimal places.
Level 3
The figure is make up of 3 circles. The small circle has centre O and a radius of 6 cm. The big circle, has centre O and a radius of 10 cm. The diameter of the big circle cuts through the centre of the medium-sized circle and the small circle. The three regions formed are indicated as X, Y and Z.
Find the radius of the medium-sized circle.
Find the area of region Z. Use a calculator to obtain the value of π.
(Round off to nearest 2 decimal places).
Express the area of the region Y as a ratio to the area of region X.
Level 3
The figure is make up of 3 circles. The small circle has centre O and a radius of 6 cm. The big circle, has centre O and a radius of 10 cm. The diameter of the big circle cuts through the centre of the medium-sized circle and the small circle. The three regions formed are indicated as X, Y and Z.
Find the radius of the medium-sized circle.
Find the area of region Z. Use a calculator to obtain the value of π.
(Round off to nearest 2 decimal places).
Express the area of the region Y as a ratio to the area of region X.
