Free Printable Maths Higher Paper 1 Edexcel 2022

1.

How do you find $\frac{5}{8}of\ 240$ ?

a)

$\div5,\times8$

b)

$\div8,\ \times5$

2.

How do you find $n$ if $\frac{3}{7}\ of\ n\ =\ 21$ ?

a)

$\div7,\ \times3$

b)

$\div3,\ \times7$

3.

The first step to adding or subtracting fractions such as $\frac{5}{7}-\frac{2}{3}$ is...

(a)

4.

The first step to answering this question is (a)

$3\frac{1}{4}\times2\frac{1}{3}$

5.

If you are asked to convert $x=0.2\overline{16}\$ (where the line on top represents recurring) to a fraction, which multiples of x will you need to subtract?

a)

10x and x

b)

100x and 10x

c)

1000x and x

d)

1000x and 10x

6.

What are the first 7 prime numbers? (separate your numbers with commas)

(a)

7.

What is the value of $16^{-\frac{1}{2}}$

a)

$\frac{1}{8}$

b)

$\frac{1}{4}$

c)

4

d)

8

8.

What is the value of $8^{\frac{2}{3}}$ ?

a)

0

b)

2

c)

4

d)

8

9.

The value of $8^0$ is...

(a)

10.

Simplify $5\ \sqrt[]{12}$

a)

$10\ \sqrt[]{3}$

b)

$10\ \ \sqrt[]{4}$

c)

$7\ \ \sqrt[]{3}$

d)

$7\ \ \sqrt[]{4}$

11.

What is the first step to rationalising $\frac{8}{5+\ \sqrt[]{3}}$

a)

Multiply top and bottom by $\sqrt[]{3}$

b)

Multiply top and bottom by $-\ \ \sqrt[]{3}$

c)

Multiply top and bottom by $5\ +\ \ \sqrt[]{3}$

d)

Multiply top and bottom by $5-\ \ \sqrt[]{3}$

12.

What must be true for a number to be in standard form? Tick all that apply.

a)

In the form $a\times10^{\ n}$

b)

$a$ is between 1 and 10

c)

$1\le a<10$

d)

$n$ has to be an integer

e)

$n$ has to be positive

13.

Write $0.083$ in standard form.

a)

$8.3\times10^2$

b)

$8.3\times10^{-2}$

14.

Write $25\times10^3$ in standard form

a)

$2.5\times10^4$

b)

$2.5\times10^2$

15.

Write $\left(4\times10^5\right)\div\left(2\times10^{-2}\right)$ in standard form

a)

$2\times10^7$

b)

$2\times10^3$

16.

Simplify $\frac{8\ x\ y^3}{2\ x^{4\ }y^{-1}}$

a)

$\frac{4y^2}{x^3}$

b)

$\frac{4y^2}{x^4}$

c)

$\frac{4y^2}{x^4}$

d)

$\frac{4y^4}{x^3}$

17.

If you are given the question: $Expand\ and\ simplify\ \ \ \ x\left(2x+3\right)-3\left(x+5\right)$ what do you need to be careful of?

(a)

18.

What is the first step to simplifying $\frac{2x^2+7x-4}{x^2-16}$ ?

a)

Cancel out the $x^2$

b)

Factorise both the top and the bottom

19.

Draw the solution to the inequality:

$5\le2x<8$

20.

What is the y-intercept of $3x^2+x-10$

a)

10

b)

-10

c)

1

d)

3

21.

What method could you use to factorise $3x^2+x-10$ ?

a)

ac method

b)

quadratic formula

22.

If $3x^2+x-10\$ factorises to give $\left(3x-5\right)\left(x+2\right)$ what are the roots of the quadratic?

a)

$-5\ and\ 2$

b)

$-\frac{5}{3}\ and\ 2$

c)

$\frac{5}{3}and\ -2$

d)

$-\frac{5}{3}and\ -2$

23.

If a quadratic is written in the form $\left(x+a\right)^2+b$ what are the coordinates of the turning point?

a)

$\left(a,b\right)$

b)

$\left(-a,b\right)$

c)

$\left(-a,-b\right)$

d)

$\left(a,-b\right)$

24.

You are asked to find the equation of a tangent to a circle. You have used $\frac{rise}{run}$ to find the gradient of the radius which is $\frac{3}{2}$ . What is the gradient of the tangent?

a)

$\frac{2}{3}$

b)

$-\frac{2}{3}$

c)

$\frac{3}{2}$

d)

$-\frac{3}{2}$

25.

Using a velocity-time graph, how do you find the acceleration after 2 seconds?

(a)

26.

Which of these is a correct way of finding 12.5% of 80? Tick all that apply

a)

Add together 10%, 1%, 1% and 0.5%

b)

Find 25% and half it

c)

Find 1% and multiply by 12.5

d)

Divide by 0.125

e)

Multiply by 0.125

27.

If 75% of n is 24 . What is n?

(a)

28.

There are 12 cats and 8 dogs. Which of these is equivalent to writing the ratio of cats to dogs? Tick all that apply.

a)

12:8

b)

2:3

c)

$1:\frac{2}{3}$

d)

$\frac{3}{2}:1$

e)

3:2

29.

The ratio of dogs to fish = 4:5 and the ratio of fish to cats is 3:2. What is the ratio of dogs to fish to cats?

a)

4:53:2

b)

12:15:6

c)

12:15:10

d)

20:15:10

30.

Ali and Steve share sweets in the ratio 2:7. Steve gets 30 more sweets. How many sweets is 1 part of the ratio worth?

(a)

31.

The ratio of blue to red to green sweets is 4:2:1 what fraction of the sweets are red?

a)

$\frac{4}{9}$

b)

$\frac{2}{9}$

c)

$\frac{1}{9}$

32.

y is directly proportional to the square root of x. Which equation is correct?

a)

$y=kx$

b)

$y=kx^2$

c)

$y=\frac{k}{x}$

d)

$y=\frac{k}{x^2}$

33.

y is inversely proportional to the square of x. Which equation is correct?

a)

$y=kx$

b)

$y=k\ \ \sqrt[]{x}$

c)

$y=\frac{k}{x}$

d)

$y=\frac{k}{\sqrt[]{x}}$

34.

What is the formula for density?

a)

$\frac{Mass}{Volume}$

b)

$\frac{Volume}{Mass}$

c)

$Mass\times Volume$

35.

The Sum of Exterior angles in any polygon is...

(a)

36.

Which is the correct formula for the Sum of Interior angles in any polygon?

a)

$n\times180$

b)

$\left(n-2\right)\times180$

c)

$\left(n-2\right)\times360$

d)

$n\times360$

37.

What do the Interior and Exterior angles of any polygon add up to?

(a)

38.

What is the formula for area of a sector?

a)

$\frac{\theta}{360}\times\pi r^2$

b)

$\frac{\theta}{180}\times\pi r^2$

39.

How do you use Pythagoras to find the hypotenuse in a right angled triangle?

a)

Square the sides, add them, then square root

b)

Square the sides, subtract them, then square root

40.

How do you use Pythagoras to find a shorter side in a right angled triangle?

a)

Square the sides, add them, then square root

b)

Square the sides, subtract them, then square root

41.

Have you memorised or can you work out the exact trig values? Such as cos(30)?

a)

No

b)

Yes it's $\frac{1}{2}$

c)

Yes it's $\frac{\sqrt[]{3}}{2}$

42.

If $\overrightarrow{AB}=3a-2b$ what is $\overrightarrow{BA}$ ?

a)

3a-2b

b)

-3a-2b

c)

3a+2b

d)

-3a+2b

43.

What do all probabilities add up to?

(a)

44.

To find the expected number of outcomes from an experiment you use the formula: $Expected\ =\ \Pr obability\ of\ event\ \times Number\ of\ trials$

a)

True

b)

False

45.

What does Cumulative Frequency mean?

a)

The same as frequency

b)

Number of people

c)

Add up the frequencies as you go along

46.

What are the main features of a Cumulative Frequency graph? Tick all that apply.

a)

Plot cumulative frequency and midpoints

b)

Plot cumulative frequency and endpoints

c)

Join with a smooth curve

d)

Join like a dot to dot

47.

How do you find the mean?

a)

$\frac{Total\ amount}{Frequency}$

b)

Most common

c)

Middle number

d)

Highest - Lowest

48.

When estimating the mean from a grouped frequency table, which of these steps is incorrect?

a)

Find the midpoint of each group

b)

Round each of the frequencies

c)

Multiply the midpoint by each of the frequencies

d)

Divide the total you have just worked out by the total frequency

49.

How do you find the interquartile range (IQR)?

a)

Highest - Lowest

b)

Upper quartile - Lower quartile

50.

Do you feel confident for Paper 1?

a)

Yes

b)

Maybe

c)

No

Maths Higher Paper 1 Edexcel 2022

Total questions: 50

Worksheet time: 31mins

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