All Questions: Cambridge IGCSE Mathematics - International - 0607 - Core Paper 1 2022 Winter Zone 2
Theory
MCQ
01.
Theory 1 Marks
CH1 - Number

Write the number twenty thousand eight hundred in figures.

02.
Theory 2 Marks
CH1 - Number

Write down all the factors of 39.

03.
Theory 1 Marks
CH1 - Number

Change $3\frac{1}{2}$ years into months. \text{.................................months [1]}

04.
Theory 2 Marks
CH1 - Number

A spool contains 100 m of thread.
Work out the total length of thread on 70 spools. Give your answer in kilometres.
...................................... km [2]

05.
Theory 1 Marks
CH8 - Trigonometry

Dewi walks due East from his home.
Complete the statement.
Dewi walks on a bearing of \text{...............................} [1]

06.
Theory 1 Marks
CH1 - Number

Write 368.276 correct to the nearest ten.

07.
Theory 2 Marks
CH1 - Number

The table shows the time taken to soak and then sprout different seeds.

[Table_1]

Work out how much longer it takes to soak and sprout mustard seeds than to soak and sprout radish seeds.
Give your answer in hours.

08.
Theory 1 Marks
CH1 - Number

Work out.
$$6 - 18 \div 2$$

09.
Theory 2 Marks
CH1 - Number

Write these numbers in order of size, starting with the smallest.

$\frac{1}{4}$, 20\%, 0.24, 0.3

................. $<$ ................. $<$ ................. $<$ .................

smallest

10.
Theory 2 Marks
CH1 - Number

Four pens cost $1.
Work out the cost of five pens.
$\text{............................................}$ [2]

11.
Theory 2 Marks
CH5 - Geometry

Work out the value of $a$.\[Image_1\]
$a = \text{........................................}$ [2]

12.
Theory 2 Marks
CH1 - Number

(a) Show the inequality $n \leq -2$ on this number line.

[1]
(b) Write down the largest integer value, $n$, for which $n \leq -2$.
\text{.....................} [1]

13.
Theory 2 Marks
CH2 - Algebra

Factorise fully.
$$6x^3 - 8x$$

14.
Theory 2 Marks
CH1 - Number

There are two prime numbers between 60 and 70.
Complete this statement about these prime numbers.
The difference between the prime numbers ................ and ................ is .................. [2]

15.
Theory 1 Marks
CH3 - Functions

g(x) = \sqrt[3]{3x}
Work out g(9).

16.
Theory 1 Marks
CH10 - Probability

Ahmed and Nasir play a game of tennis followed by a game of darts. The probability of Ahmed winning the game of tennis is 0.3. The probability of Nasir winning the game of darts is 0.4.
Complete the tree diagram.


17.
Theory 2 Marks
CH6 - Vectors and transformations

Describe fully the \textbf{single} transformation that maps triangle $R$ onto triangle $T$.


18.
Theory 3 Marks
CH1 - Number

Benji walks 20 km in 4 hours.
Wynn's average speed is 1 km/h faster than Benji's average speed.

Work out the distance Wynn walks in 3 hours.
....................................... km [3]

19.
Theory 2 Marks
CH2 - Algebra

Simplify fully.
$$5(x^2 - 3) - 2(x^2 + 5)$$ .......................................................... [2]

20.
Theory 2 Marks
CH5 - Geometry

!(#)
These two shapes are mathematically similar.
Find the value of $x$.
$x =$ ext{.....................}

21.
Theory 1 Marks
CH2 - Algebra

Find the value of $x$ when $\frac{8^9}{8^3} = 8^x$.

$x = \text{.................................}$ [1]

22.
Theory 2 Marks
CH10 - Probability

A bag contains 5 black counters and 6 white counters. Manjit takes one counter out of the bag at random, notes its colour and replaces it. She does this a second time.
Find the probability that both the counters are black.

23.
Theory 3 Marks
CH7 - Mensuration

The diagram shows a triangular prism.
Calculate its total surface area.
............................................ cm$^2$