Question 1

What is the value of x?

Accepted Answer

$105^\circ$

Question 2

Change $\frac{20}{7}$ to a mixed number.

Accepted Answer

$2\frac{6}{7}$

Question 3

What is the highest common factor of 16 and 20?

Accepted Answer

4

Question 4

Hot dogs are sold in packs of 10.
Hot dog rolls are sold in back of 6.
What is the smallest number of Hot dogs in rolls you would have without there being any waste?

Accepted Answer

30

Question 5

What is the lowest common multiple of 16 and 12.

Accepted Answer

48

Question 6

The image shows a venn diagram for the product of prime factors for 24 and 36. 
What is the Highest common factor of 24 and 36?

Accepted Answer

12

Question 7

The Venn diagram above shows the prime factors of 24 and 36.
Using the Venn diagram what is the Lowest Common Multiple of 24 and 36?

Accepted Answer

72

Question 8

The picture above shows the prime factor tree for 54.
Which of the following shows the product of prime factors in index form.

Accepted Answer

$2	imes3^3$

Answer

$2	imes3	imes3	imes3$

Answer

2, 3, 3, 3

Answer

$2^3	imes3$

Question 9

How many lines of symmetry does this regular pentagon have?

Accepted Answer

5

Question 10

What is the order of rotational symmetry, for this regular pentagon?

Accepted Answer

5

Question 11

What is the order of rotational symmetry for the shape above?

Accepted Answer

4

Question 12

How many lines of symmetry does this shape have?

Accepted Answer

0

Question 13

How many lines of symmetry does a regular hexagon have?

Accepted Answer

6

Question 14

What is the order of rotational symmetry for a regular octagon?

Accepted Answer

8

Question 15

Which of the inequalities symbols should be used?

5 + 6 - 8    $\Box$   2(3-7)

Accepted Answer

>

Answer

$\equiv$

Answer

<

Answer

=

Question 16

Fill in the box with the correct inequality symbol.
 $ $
 $ $                          
$-\frac{2}{3}$    $\Box$  $-0.6$

Accepted Answer

<

Answer

$\equiv$

Answer

>

Answer

=

Question 17

Fill in the gaps in this arithmetic number pattern (addition or subtraction each time).

-3,  ...,  ...,  13
 $ $

Accepted Answer

2, 7,

Question 18

A negative number multiplied by a positive number is a negative answer.

Accepted Answer

Always

Answer

Never

Answer

Sometimes

Question 19

A negative number added to a positive number is a negative answer.

Accepted Answer

Sometimes

Answer

Always

Answer

Never

Question 20

A negative number squared is negative.

Accepted Answer

Never

Answer

Sometimes

Answer

Always

Question 21

A negative number cubed is negative.

Accepted Answer

Always

Answer

Sometimes

Answer

Never

Question 22

When multiplied, two numbers with opposite signs have a positive answer.

Accepted Answer

Never

Answer

Always

Answer

Sometimes

Question 23

When divided, two numbers with the same sign have a positive answer.

Accepted Answer

Always

Answer

Never

Answer

Sometimes

Question 24

When subtracted two numbers with the same sign have a positive answer.

Accepted Answer

Sometimes

Answer

Always

Answer

Never

Question 25

When disconnected from power a freezer warms at the rate of $0.4\degree$C per minute.
The freezer is currently at $-20\degree$C How long does it take to warm to $-6\degree$C in minutes?
$ $
(Only give your answer as a number in minutes, do not include the units in your answer.)

Accepted Answer

35 mins

Question 26

$17^2$

Accepted Answer

289

Question 27

$\sqrt{529}$

Accepted Answer

23

Question 28

The $\sqrt{y}$ lies between 7.1 and 7.2. What is the value of $y,$ if y is an integer?

Accepted Answer

51

Question 29

$\sqrt[3]{-64}$

Accepted Answer

-4

Answer

No real solution

Answer

8

Answer

-8

Question 30

$\sqrt{-64}$

Accepted Answer

no real solution

Answer

-8

Answer

8 and -8

Answer

8

Question 31

$\sqrt{64}$

Accepted Answer

8 and -8

Answer

4

Answer

-8

Answer

8

Question 32

Simplify: $\sqrt{2}	imes\sqrt{18}$

Accepted Answer

6

Question 33

Simplify: $\sqrt{20}\div\sqrt{5}$

Accepted Answer

2

Question 34

Rationalise the denominator $\frac{1-\sqrt{2}}{\sqrt{2}}$

Accepted Answer

$\frac{\sqrt{2}-2}{2}$

Answer

0

Answer

$\frac{1-\sqrt{2}}{\sqrt{2}}	imes\frac{\sqrt{2}}{\sqrt{2}}$

Answer

$\frac{\sqrt{2}(1-\sqrt{2})}{2}$

Question 35

A rectangle has the lengths $5\sqrt{2}$ by $3\sqrt{2}$. Calculate the area of the rectangle. (Do not give the units in your answer.)

Accepted Answer

30

Question 36

$s=8p-27q$
$ $
Calculate s when $p=\frac{3}{4}$ and $s=\frac{5}{9}$

Accepted Answer

-9

Question 37

George has 8 boxes with $x$ pencil cases in each box. Which of these shows how many pencil cases George has.

Accepted Answer

$8x$

Answer

Too many pencil cases.

Answer

$x+8$

Answer

$\frac{x}{8}$

Question 38

Given that $u = 3.24$ and $v = 8.5$.
Find the exact value of $S$.
$S=4uv+\sqrt{u}$

Accepted Answer

111.96

Question 39

The cooking instructions for roast turkey state that it needs 90 minutes plus an additional 15   
        minutes per kilogram. As a formula, this is written:

T = 90 + 15m

where T is the time, in minutes, and m is the mass, in kilograms.
	Freddy calculated the cooking time for a turkey as 3 hours 15 minutes.

How heavy is the turkey?

(You do not need to give the units of your answer, it should be given as an answer in kilograms.)

Accepted Answer

7

Question 40

The distance, d metres, of a boat from the shore is given by the formula:

$d=\sqrt{v}+\frac{600}{v}$
where v is the speed of the boat, in metres per second (m/s).

How far is the boat from the shore when it is travelling at 20 m/s. (Do not give the units of your answer, your answer should be given in meters.)

Accepted Answer

430

Question 41

Which of these shows $x$ as the subject for $p=\frac{3g-xy}{2}$

Accepted Answer

$x=\frac{3g-2p}{y}$

Answer

$x=\frac{2p-3g}{y}$

Answer

$x=\frac{p-3g}{2y}$

Answer

$-x=\frac{2p-3g}{y}$

Question 42

Write the value of $x$when:
$x+5 = 3$
 $ $

Accepted Answer

-2

Question 43

Write the value of $x$ when:

$\frac{15}{x} = 3$

Accepted Answer

5

Question 44

what is the next term in this geometric sequence:

3,  6,  12,  24,  ...

Accepted Answer

48

Question 45

What is the name of this special sequence:

1, 3, 6, 10, 15

Accepted Answer

triangular numbers

Answer

fibonacci sequence

Answer

cube numbers

Answer

square numbers

Question 46

What is the nth term for 4, 10, 16, 22, ...

Accepted Answer

6n - 2

Question 47

For the sequence 85, 80, 75, 70, ...

-10 is the 20th term, what is the 19th term?

Accepted Answer

-5

Question 48

For the sequence 85, 80, 75, 70, ...

-10 is the 20th term, what is the 21st term?

Accepted Answer

-15

Question 49

Which of these sequences is represented by the nth term: 4n-2

Accepted Answer

2, 6, 10, 14, ...

Answer

-2, 2, 6, 10, ...

Answer

4, 6, 10, 16, ...

Answer

4, 2, 0, -2, -4, ...

Question 50

What is the nth term of: 1, 4, 9, 16, 25 ....

Accepted Answer

$n^2$

Answer

There is not one.

Answer

$3n-2$

Answer

$\frac{n}{2}(n-1)$

Question 51

Above shows an incomplete histogram for the age distribution of a community group. How many people are over 90?

Accepted Answer

10

Question 52

For the incomplete histogram above there are 22 people between 80 and 90. What would the frequency density be?

Accepted Answer

2.2

Question 53

How people have a height between 75 and 80cm?

Accepted Answer

7

Question 54

Estimate the number of people who have a height between 100 and 107.5 cm.

Accepted Answer

11

Question 55

Match the following fractions, decimals and percentages.

Question 56

Change $4\frac{3}{9}$ to an improper fraction.

Accepted Answer

$\frac{39}{9}$

Question 57

Which is a better result: 19 out of 25, 77% or scoring 15 out of 20.

Accepted Answer

77%

Answer

19 out of 25

Answer

15 out of 20.

Question 58

Put these number in ascending order.

Accepted Answer

$\frac{3}{10}$,$0.\dot{3}$,$49$%,$\frac{1}{2}$,$0.6$,$\frac{2}{3}$,$70$%

Question 59

Express 10 minutes of an hour as a fraction in its simplest form.

Accepted Answer

$\frac{1}{6}$

Question 60

Decrease 450 by 17.5%

Accepted Answer

371.25

Question 61

Hansel invests £5,000 money in a small confectionery business. after three years he sold his shares for £3,800. What is his percentage loss?

Accepted Answer

24%

Question 62

Write this decimal as a fraction.
$0.\dot{4}$

Accepted Answer

$\frac{4}{9}$

Question 63

Which of these shows $\frac{8}{9}$ as a decimal.

Accepted Answer

$0.\dot{8}$

Answer

$8.9$

Answer

$0.89$

Answer

$0.8$

Question 64

Write this decimal as a fraction in its simplest terms:
$0.\dot{4}\dot{3}$

Accepted Answer

$\frac{43}{99}$

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