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
Debbie spent $180 on a gown and 23 as much on a bag. She bought a pair of shoes that cost 45 as much as the bag. How much less did she spend on the pair of shoes than on the bag?
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 2
Eric is thinking of a 3-digit number.
- The number is between 150 and 250.
- The digit in the tens place is 2 more than 5.
- The digit in the ones place is 3 less than 8.
What number is it?
Level 3
A book shop sold 110 of the books in the morning. 15 of the remaining books are sold in the afternoon. The shop owner brought in another 172 books and there were 4 more books than there was at first. How many books were there in the shop at first?
Level 3
Fred saved $85 per month for a motorcycle. At the end of 6 months, he found that the amount of savings he had was only 34 the price of the
motorcycle.
How much was the motorcycle?
How much more must Fred save in order to buy the motorcycle?
