Level 3
Two identical pails C and D contained some water. Pail C was 14 filled and Pail D was 1/5 filled. The ratio of the total mass of Pail C and the water in it to the total mass of Pail D and the water in it was 8 : 7. The total mass of the two pails and the water they contained was 3150 g. What is the mass of an empty pail?
Level 3
The figure is made up of a circle, a triangle and a square of sides 8 cm. The radius of the circle is 7 cm. The ratio of the area of the circle to the shaded area of the circle is 7 : 3. The ratio of the area of the square to the area of the triangle is 1 : 4. Given that 14 of the square is shaded, what is the total area of the unshaded figure?
(Take π = 227)
Level 3
The figure is made up of a circle, a triangle and a square of sides 8 cm. The radius of the circle is 7 cm. The ratio of the area of the circle to the shaded area of the circle is 7 : 3. The ratio of the area of the square to the area of the triangle is 1 : 4. Given that 14 of the square is shaded, what is the total area of the unshaded figure?
(Take π = 227)
Level 3
The figure is not drawn to scale. Three pentagons A, B and C are arranged as shown in the figure. The area of Pentagon A is 35 the area of Pentagon B. The area of Pentagon B is 35 the area of Pentagon C.
Find the ratio of the area of Pentagon A to the area of Pentagon C.
23 of Pentagon A is shaded. What fraction of the whole figure is not shaded?
Level 3
The figure is not drawn to scale. Three pentagons A, B and C are arranged as shown in the figure. The area of Pentagon A is 35 the area of Pentagon B. The area of Pentagon B is 35 the area of Pentagon C.
Find the ratio of the area of Pentagon A to the area of Pentagon C.
23 of Pentagon A is shaded. What fraction of the whole figure is not shaded?
Level 3
The figure is made up of 3 different triangles X, Y and Z. 20% of triangle X and 40% of triangle Z is shaded. The shaded area of X is the same as the shaded area of Z. What fraction of the figure is shaded if 40% of Triangle Y is shaded?
Level 3
The figure is made up of 3 different triangles X, Y and Z. 20% of triangle X and 40% of triangle Z is shaded. The shaded area of X is the same as the shaded area of Z. What fraction of the figure is shaded if 40% of Triangle Y is shaded?
JLevel 2
ayne had just enough money to buy 9 kg of sugar. However, she bought only 5 kg of sugar and used the remaining money to buy 3 packets of cookies which cost $2.40 each. How much did Jayne pay for the sugar she bought?
Level 3
Lennie gave 58 of his salary to his wife. He gave 15 of his salary to his four children and left the rest for himself. He had $420 left for himself. Given that his four children received the same amount each, how much did each of his four children receive?
Level 2
At a shop, dining chairs were sold for the price shown.
Usual price of one dining chair: $30
John bought some dining chairs at a discount of 30%. He paid $168 in total. How many dining chairs did he buy?
Level 3
Tap A can fill up a tank in 2 hours. Tap B can fill up the same tank in 6 hours. How long will it take to fill up the tank if both taps are turned on at the same time? Express the answer(s) in h.
Level 3 PSLE
The figure shows two stacks of identical paper cups. There are 5 cups in the shorter stack and 11 cups in the longer one. The length of the shorter stack is 15 cm and the length of the longer stack is 27 cm. Alle wants to pack the paper cups as a single stack into a box 35 m long. What is the most number of cones he can pack into the box?
Level 3 PSLE
The figure shows two stacks of identical paper cups. There are 5 cups in the shorter stack and 11 cups in the longer one. The length of the shorter stack is 15 cm and the length of the longer stack is 27 cm. Alle wants to pack the paper cups as a single stack into a box 35 m long. What is the most number of cones he can pack into the box?
Level 2
Peter and Gabriel went to buy mobile phones at a sale. The usual price of 1 mobile phone was $600 each. SALE
Buy 1 mobile phone at 15% discount
Buy 2 or more mobile phones at 25% discount each
Peter bought 1 mobile phone. How much did he pay?
What is the maximum number of mobile phones Gabriel can buy if he has $7000?
Level 2
The bar graph shows the number of packets of different food collected in a donation drive.
15 of the total number of packets of food collected was coffee. How many packets of rice were collected?
The table shows the mass of each packet of food. What is the difference between the total mass of noodles collected and the total mass of biscuits collected? Give your answer in kg.
Level 2
The bar graph shows the number of packets of different food collected in a donation drive.
15 of the total number of packets of food collected was coffee. How many packets of rice were collected?
The table shows the mass of each packet of food. What is the difference between the total mass of noodles collected and the total mass of biscuits collected? Give your answer in kg.
Level 3
Four children made the following statements.
Winnie : The average of Yoko's mass and my mass is 39 kg.
Xtra : I am the heaviest.
Yoko : Zane is 2 kg lighter than Xtra.
Zane : Our masses are in consecutive order (In running sequence).
What is the total mass of Winnie, Xtra and Yoko ?
