Level 3
Zane had $120 less than Xavier. If Xavier spends $460 and Zane's mother gave Zane $200, Xavier will have 14 as much money as Zane. How much money did Zane and Xavier have?
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
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
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 3
Jane and Tina had $652. Tina had $76 more than Jane. Jane spent 2 times as much as Tina and was left with 23 as much as Tina. How much did Jane spend?
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 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
The average points accumulated by 6 children is 91.5. They have all attained different points which are whole numbers. The lowest point is 70 while the highest point is 100.
Find the average points achieved by the 4 children whose marks lie between the highest and the lowest.
Find the smallest possible second lowest mark among these 6 children.
Find the largest possible second lowest mark among these 6 children.
Level 3
The museum tickets are priced at $10 and $5. The number of $10-dollar tickets available is 289 that of the number of $5-dollar tickets. 2 out of 3 of the $10-dollar tickets and all the $5-dollar tickets were sold. The ticket sales amounted to $8515. How much more would have been collected if all the tickets were sold?
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?
Level 3
A survey was conducted with some pupils. 29 of them chose basketball as their favourite sport. 35 of the remaining pupils chose badminton. 12 of those left chose swimming and the last 56 chose gymnastic. How many more pupils chose badminton than basketball?
Level 3
Kylie had some shortbreads. She sold 34 of the shortbreads. She ate 13 of the remainder and an additional 4 more. She had 44 shortbreads left in the end. How many shortbreads did Kylie have at first?
Level 3
Reggie had some money. He spent 14 of his money and an additional $33 on books. He spent 56 of the remainder and an additional $11 on food. He had $14 left. How much money did he have at first?
Level 3
Penelope spent 18 of her money and an additional $21 on a sweater. She spent $9 less than 38 of the remainder on a shirt. She then spent $1 less than 12 of what was left on 4 pairs of jeans. She had $23 left in the end. How much did she spend altogether?
Level 3
Hannah bought 2014 m of cloth. She used 34 m to make a cushion cover. She used 13 of the remaining cloth to make curtains. How much more cloth did she use to make the curtains than the cushion cover?
Level 3
Kimberly bought 16 15 m of cloth. She used 25 m to make a cushion cover. She used 12 of the remaining cloth to make curtains. How much more cloth did she use to make the curtains than the cushion cover?
Level 3
Mr Tan wants to put all 27 boys and 72 girls into groups for an activity. There are more girls than boys in each group. Each group must have the same number of boys. Each group must also have the same number of girls.
What is the greatest number of groups Mr Tan can form with these conditions?
