Level 3
The figure is not drawn to scale. It shows an empty container made up of a cuboid, measuring 40 cm by 25 cm by 25 cm and 2 similar cubes of sides 5 cm. Line A is 10 cm. 12.5 ℓ of water is poured into the top cube into the cuboid.
What is the height of the water level from the base of the container?
How much more water in cm3 must be poured in so that the water fills up half of the top cube?
Level 3
The figure is not drawn to scale. It shows an empty container made up of a cuboid, measuring 40 cm by 25 cm by 25 cm and 2 similar cubes of sides 5 cm. Line A is 10 cm. 12.5 ℓ of water is poured into the top cube into the cuboid.
What is the height of the water level from the base of the container?
How much more water in cm3 must be poured in so that the water fills up half of the top cube?
Level 3
A pharmacy and a bank, 500 m apart, are situated between Tina's apartment and Lynn's house as shown. The bank is half-way between the two houses. Tina and Lynn left their homes at the same time and arrived at the pharmacy at the same time. Tina drove at a speed of 65 km/h while Lynn drove at a speed 10 km/h slower than Tina.
Level 3
On Monday, there were 320 more adults than children at the funfair. On Tuesday, the number of adults increased by 65% and the number of children increased by 55%. There were 1552 people on Tuesday. How many adults were there on Monday?
Level 3
At a conference made up of speakers and participants, there were 10% more men than women. The ratio of the male speakers to female speakers was 8 : 5. There was an equal number of male and female participants.
Find the ratio of male speakers to male participants at the conference at first.
Halfway, 89 male participants left the conference and another 73 female participants joined the conference. In the end, there were 34 as many male participants as female participants remaining behind. How many speakers were there at the conference?
Level 3
The figure, not drawn to scale, is made up of an isosceles triangle and a rhombus. ∠c = ∠b, ∠a is twice ∠d, ∠b is twice ∠e and ∠c is less than ∠e by 51°.
Find ∠c.
Find the difference between ∠a and ∠c.
Level 3
The figure, not drawn to scale, is made up of an isosceles triangle and a rhombus. ∠c = ∠b, ∠a is twice ∠d, ∠b is twice ∠e and ∠c is less than ∠e by 51°.
Level 3
Wendy had a total of 406 violet and pink beads. She used 35 of her violet beads and bought another 38 pink beads. The number of pink beads she had then became 13 the number of violet beads. How many less pink beads than violet beads did she have at first?
Level 3
Ethan had a total of 350 apples and lemons.
He sold 13 of the lemons
and bought another 14 apples.
In the end, the number of apples he had was 14 the number of lemons.
How many more lemons than apples did he have at first?
Level 3
Xavier invited 12 more boys than girls to his birthday party. 23 of the boys and 57 of the girls turned up at the party. A total of 30 children who were invited did not turn up. How many children did he invite?
Level 3 Billy put all his stickers into 30 large albums and 10 small albums. Each large album can hold 10 more stickers than each small album. 16 of his stickers were put into all the small albums and the rest were put into the large albums. How many stickers can be put into one large album?
