Home / Igcse 0580_s24_qp_13.pdf

Question1

Write the number two million two thousand and two in figures.

▶️Answer/Explanation

$2002002$

Question2

Put one pair of brackets into this calculation to make it correct.

$$\begin{matrix}5&+&4&\times&3&+&9&=&53\end{matrix}$$

▶️Answer/Explanation

$5+4\times(3+9)=53$

Question3

Simplify.

$$7x-8y-x-y$$

▶️Answer/Explanation

$6x-9y$ or $3(2x-3y)$ final answer

Question4

(a) Write $164703$ correct to the nearest thousand.

(b) Write $16.983$ correct to l decimal place.

(c) Write $0.037665$ correct to 2 significant figures.

▶️Answer/Explanation

(a) $165 000$ cao

(b) $17.0$ cao

(c)  $0.038$ cao

Question5

 

(a)On the diagram, draw any lines of symmetry. 

(b) Write down the order of rotational symmetry of this shape.

▶️Answer/Explanation

(a) Correct line of symmetry

(b) $3$

Question6

Write these numbers in order, starting with the smallest.

$$0.45\quad \quad \quad 42\%\quad \quad \quad \frac4{11}\quad \quad \quad \frac25$$

▶️Answer/Explanation

$\frac 4{11}$ $\frac 25$ $42\% 0. 45$

Question7

The base of a cuboid measures l0cm by $7$cm.
The volume of the cuboid is 280 cm$^{3}$

Calculate the height of the cuboid.

▶️Answer/Explanation

$4$

Question8

In a city, the probability that it will rain today is $0.15$.
Find the probability that it will not rain today in this city

▶️Answer/Explanation

$0.85$

Question9

 One day the temperature in Tokyo is $-5^\circ$C and the temperature in Manila is $18^\circ$C .
(a) Work out the difference between these two temperatures

(b) The temperature in Tokyo rises by $4^{\circ}$C.

Find the new temperature in Tokyo.

▶️Answer/Explanation

(a) $23$

(b) $-1$

Question10

(a) These are the first four terms of a sequence.

$3$                      $10$                  $17$                    $24$

(i) Write down the next term.

(ii) Write down the term to term rule for continuing the sequence.

(b) These are the first four terms of another sequence.

$16$            $14$              $11$                  $7$

Write down the next two terms of this sequence.

▶️Answer/Explanation

(a)(i) $31$

(a)(ii) add $7$ 

(b) $2$    $-4$

Question11

The diagram shows an isosceles triangle.

Find the value of x.

▶️Answer/Explanation

$108$

Question12

The diagram shows a cuboid.

 

on the $1 \rm {cm}^3$ grid, complete a net of this cuboid.

One face has been drawn for you.

▶️Answer/Explanation

Fully correct net

Question13

Factorise completely.

$4x^2y-5xy^2$

▶️Answer/Explanation

$xy(4x – 5y)$ final answer

Question14

The scale of a map is $1:40 000$.
On the map the distance between two villages is 37cm. Calculate the actual distance between the two villages. Give your answer in kilometres.

▶️Answer/Explanation

$14.8$

Question15

Without using a calculator, work out $\frac{3}{7}-\frac{1}{14}.$

You must show all your working and give your answer as a fraction in its simplest form

▶️Answer/Explanation

$\frac{6}{14}$ and $\frac{1}{14}$

$\frac{5}{14}$ cao

Question16

The price of a game increases from \(\$48\) to \(\$56.40\) .

Calculate the percentage increase in the price.

▶️Answer/Explanation

$17.5$

Question17

The diagram shows a right-angled triangle.

Calculate $AB.$

▶️Answer/Explanation

$6.39$

Question18

The length, s metres, of a ship is 83 m, correct to the nearest metre.

Complete this statement about the value of s.

▶️Answer/Explanation

$82.5$

 

Question19

Solve the simultaneous equations.

$$\begin{array}{l}5t-2w=19\\3t+2w=5\end{array}$$

▶️Answer/Explanation

$[t = ] 3$
$[w = ] –2$

Question20

 The diagram shows the positions of three towns $A,B$ and $C.$

Angle $ABC=103^{\circ}.$
The bearing of town $B$ from town $A$ is 48°.
Town $C$ is due east of town $A.$

Find the bearing of town $C$ from town $B.$

▶️Answer/Explanation

$125$

Question21

(a)

$\mathcal{E}= \{ 1, 4, 5, 8, 9, 12, 16, 64\}$

$C=\{$cube numbers$\}$

$S=\{$square numbers$\}$

(i) Complete the Venn diagram

(ii) Find n$(C\cup S).$

(b)

On this Venn diagram, shade the region $A\cap B.$

▶️Answer/Explanation

(a)(i)

(a) (ii) $6$

(b)

 

Question22

(a) Write these numbers in standard form.

(i) $0.007$

(ii) $700000000$

(b) Calculate $\frac {3200\times 5. 4\times 10^{- 3}}{4. 8\times 10^{- 4}}.$

Give your answer in standard form.

▶️Answer/Explanation

(a) (i) $7\times10^{-3}$

(a) (ii) $7\times10^8$

(b) $3.6\times10^4$

Question23

The diagram shows a sphcrical tank with radius 0.5 m and a cylindrical jug with diameter $24$cm and height $32$cm. The tank is full of water.

Calculate how many times the jug can be completely filled with water from the tank
[The volume, $V$, of a sphere with radius $r$ is $\frac43\pi r^3.]$

▶️Answer/Explanation

$36$

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