All Questions: Cambridge IGCSE Mathematics - International - 0607 - Core Paper 1 2015 Summer Zone 3
Theory
MCQ
01.
Theory 2 Marks
CH1 - Number

(a) Write forty five thousand in figures.
Answer(a) ............................................................... [1]
(b) Write in words the number 2136.
Answer(b) ................................................................. [1]

02.
Theory 1 Marks
CH1 - Number

Work out.
$3 + 4 \times 5$
Answer .....................................................

03.
Theory 3 Marks
CH1 - Number

Complete the table.
[Table_1: Fraction, Decimal, Percentage]

04.
Theory 2 Marks
CH1 - Number

Write down the value of the following.
(a) \( \sqrt{81} \) Answer(a) \text{..................................................} \ [1]
(b) \( \sqrt[3]{125} \) Answer(b) \text{..................................................} \ [1]

05.
Theory 1 Marks
CH1 - Number

Change 4.1 metres into millimetres.
Answer .......................... mm

06.
Theory 2 Marks
CH5 - Geometry

Name two 4-sided shapes with rotational symmetry order 2.
Answer ...................................................... and .......................................................

07.
Theory 2 Marks
CH1 - Number

Divide $35 in the ratio 4 : 3.

\textit{Answer}$.................$and$.................$ [2]

08.
Theory 2 Marks
CH1 - Number

The mean of four numbers is 10. Three of the numbers are 6, 15 and 12. Find the other number.

09.
Theory 2 Marks
CH1 - Number

Work out.
$$\frac{7}{10} - \frac{2}{5}$$
Answer \text{ .....................}

10.
Theory 2 Marks
CH2 - Algebra

Expand the brackets.

$4x(2x - 3)$

\textit{Answer} ....................................................

11.
Theory 2 Marks
CH2 - Algebra

Solve the following simultaneous equations.

$$\begin{align} 4x + y &= 13 \\ 2x - y &= 5 \end{align}$$

\textit{Answer} \(x\) = \underline{\hspace{50mm}}
\(y\) = \underline{\hspace{50mm}}

12.
Theory 4 Marks
CH5 - Geometry

(a)
Find the value of $x$, giving a reason for your answer.
\textbf{Answer(a)} $\text{.....................}$ because $\text{........................................................................}$
[2]

(b)
The diagram shows a circle, centre $O$.
Write down the size of angle $ACB$. Give a reason for your answer.
\textbf{Answer(b)} = $\text{.....................}$ because $\text{........................................................................}$
[2]

13.
Theory 1 Marks
CH10 - Probability

A fair 6-sided spinner is numbered 1, 2, 2, 2, 3 and 3. The spinner is spun once.
Find the probability that the spinner lands on 3.

14.
Theory 2 Marks
CH2 - Algebra

These two rectangles are similar.

Find the value of \( x \).
Answer \( x = \text{.....................} \)

15.
Theory 2 Marks
CH3 - Functions

f(x) = 3x + 1
Find

(a) f(4), Answer(a) .............................................................. [1]

(b) f\left(-\frac{1}{3}\right). Answer(b) .............................................................. [1]

16.
Theory 5 Marks
CH6 - Vectors and transformations

Describe fully the single transformation that maps
(a) triangle $A$ onto triangle $B$,
\textit{Answer(a)}
\text{............................................................................................................................}
\text{............................................................................................................................} [2]

(b) triangle $A$ onto triangle $C$.
\textit{Answer(b)}
\text{............................................................................................................................}
\text{............................................................................................................................} [3]



17.
Theory 5 Marks
CH11 - Statistics

The cumulative frequency curve shows the heights of 100 plants.

Find
(a) the median,
\text{Answer(a)} \text{...........................................................} \text{ cm} \ [1]\
(b) the inter-quartile range,
\text{Answer(b)} \text{...........................................................} \text{ cm} \ [2]\
(c) the number of plants that are more than 40 cm in height.
\text{Answer(c)} \text{...........................................................} \ [2]