EduNinja

[Maximum number: 3]

(a)

Leo keeps his toy vehicles on a shelf.

[ 3 ]

(i)

The shelf is in the shape of a right-angled triangle.

The area of the shelf is $0.3 \mathrm{~m}^{2}$ .
Calculate the value of y.

y=

[ 2 ]

0.8

M1 for $\frac12\times y\times0.75=0.3$ or better

(ii)

The shelf is 1.35 metres from the floor.

Change 1.35 metres into centimetres.

[ 1 ]

[Maximum number: 4]

The diagram shows a circle, centre O, radius 11 cm. C, F, G and H are points on the circumference of the circle.
The line AD touches the circle at C and is parallel to the line EG. B is a point on AD and angle $A B O=140^{\circ}$ .

(a)

Find, in terms of $\pi$ , the circumference of the circle.

___ cm

[ 2 ]

$22\pi$ final answer
M1 for $2\times11\times\pi$ .

(b)

Calculate the length of the minor arc FH.

___ cm

[ 2 ]

7.68 or 7.679 to 7.680...
FT their (b)(ii) and (b)(i).
M1 for $\frac{\text{their (b)(ii)}}{360}\times$ their (b)(i).

[Maximum number: 3]

Miguel works in an office.

Miguel has a closed box of pens.

The box is in the shape of a cuboid measuring 20 cm by 12 cm by 7 cm .
Calculate the surface area of the box.
$\mathrm{cm}^{2}$

928
M2 for $2(20\times12+20\times7+12\times7)$ oe
or M1 for $20\times12$ , $20\times7$ , or $12\times7$

CAIE IGCSE Mathematics Core 5 Mensuration Topic Practice

Question 1

Question (a)

Question (i)

Question (ii)

Question 2

Question (a)

Question (b)

Question 3