Question
The diagram shows a circle inside a square.
The circumference of the circle touches all four sides of the square.
(a) Calculate the area of the circle when the side of the square is 15cm.
Answer/Explanation
Ans: 177 or 176.7 to 176.74 cm2
(b) Draw all the lines of symmetry on the diagram.
Answer/Explanation
Ans: 4 correct lines of symmetry drawn
Question
Leah is making a path in her garden using gravel.
The diagram shows the path.
A bag of gravel covers an area of 0.5m2.
Work out the number of bags of gravel Leah must buy to make the path.
Answer/Explanation
Ans: 14 nfww
Question
(a) 
Calculate the volume of this cuboid.
…………………………. \(cm^3\)
(b) Another cuboid has width 6cm, height 9cm and volume 675 cm3.
Calculate the length of this cuboid.
……………………….. cm
(c) The diagram shows a right-angled triangular prism.
Calculate the volume of this prism.
………………………… \(cm^3\)
Answer/Explanation
Ans:
(a) 672
(b) 12.5
(c) 540
Question
The diagram shows a notice board.
The board is in the shape of a semicircle joined to a square with side 74cm.
(a) Calculate
(i) the perimeter of the board,
………………………….. cm
(ii) the area of the board.
……………………….. \(cm^2\)
(b) The board is a prism that is 5cm thick.
Calculate the volume of the board.
……………………….. \(cm^3\)
Answer/Explanation
Ans:
(a) (i) 338 or 338.3 nfww
or 338.2 to 338.26
(ii) 7630 nfww
or 7626 to 7627
(b) 38100 nfww
or 38200 or 38150
or 38130 to 38140
Question
A water tank in the shape of a cuboid has length 1.5 metres and width 1 metre.
The water in the tank is 60 centimetres deep.
Calculate the number of litres of water in the tank.
………………………………… litres.
Answer/Explanation
900