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°.
  1. Find ∠c.
  2. Find the difference between ∠a and ∠c.
4 m
Level 2
Sean is 18 kg heavier than Leo. Leo's mass is 35 of Sean's mass. Find the total mass of the two boys.
4 m
Level 3
38 of the children in a school are boys. There are 1200 girls.
  1. What is the enrolment of the school?
  2. How many more girls than boys are there?
4 m
Level 2
Rosie made 90 kaya buns and vanilla buns altogether. She made 9 times as many kaya buns as vanilla buns. How many more kaya buns than vanilla buns did she make?
2 m
Level 2
Mr Tan has $187. Mrs Tan has three times as much money as Mr Tan. How much more money does Mrs Tan have than Mr Tan?
2 m
Level 3
Willie and Tanya have a total of $390. Tanya has 214 times as much money as Willie. How much more money has Tanya than Willie?
4 m
Level 3
The number of silver crayons is twice the number of blue crayons. The number of blue crayons is 14 more than the number of gold crayons. The total number of crayons is 138. The cost of each silver crayon is $3.80 and the cost of each gold crayon is $1.50. The total cost of all the crayons is $374.20.
  1. Find the number of gold crayons.
  2. Find the cost of a blue crayon.
5 m
Level 3
A rectangular tank measuring 60 cm by 50 cm by 40 cm was filled with water to a height of 28 cm at first. After 8 completely filled identical jugs of water were poured into the tank, the new water level in the tank became 32 cm.
  1. Find the volume of water in each jug in cubic centimetres.
  2. How much more water would be needed to fill the tank completely? (Give your answer in litres.)
5 m
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?
4 m
Level 3
A total of 460 children and adults went for a learning journey at the park. There were 80 more children than adults at the park. Given that the number of boys was 5 times the number of girls at the park, how many boys were at the park?
3 m