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Maths - Mixed basics 1

Total questions: 20

Worksheet time: 27mins

Name
Class
Date
1.

Find 20% of £240

a)

£24

b)

£4.80

c)

£48

d)

£42

2.

Write  35\frac{3}{5}  as a percentage.

a)

20%

b)

35%

c)

40%

d)

60%

3.

George and Charlotte eat 35 sweets in the ratio of 1:4.  Charlotte eats more sweets than George. How many more sweets does Charlotte eat?

a)

21

b)

7

c)

28

d)

14

4.

The ingredients to make 500ml of a fruit drink are

orange juice 280 ml

mango juice 60 ml

lemonade 140 ml

cranberry 20 ml

How much lemonade do you need to make 1.5 litres?

a)

280 ml

b)

420 ml

c)

1500 ml

d)

150 ml

5.

Write down the next three numbers in this sequence.

26, 21, 16, 11, … , … , ...

a)

6, 1, - 3

b)

6, 0, - 6

c)

6, 1, - 4

d)

6, 0, - 5

6.

The rule for this sequence is n2 - 2

What are the first five terms?

a)

0, 2, 4, 6, 8

b)

-1, 2, 7, 14, 23

c)

-2, -4, -6, -8, -10

d)

-1, 0, 1, 2, 3

7.

Charlotte chooses a sweet at random from a packet of different flavours.

What is the probability she chooses a lemon sweet?

a)

37\frac{3}{7}

b)

0.37

c)

3

d)

310\frac{3}{10}

8.

Find the median and range of these numbers.

7, 3, 8, 4, 3

a)

The median is 8 and the range is 4.

b)

The median is 3 and the range is 5.

c)

The median is 4 and the range is 4.

d)

The median is 4 and the range is 5.

9.

Four numbers have a mean of 4.

Three of the numbers are 3, 7 and 1.

What is the fourth number?

a)

5

b)

16

c)

6

d)

11

10.

George has a bag of counters that are either red, green, blue or yellow. The table shows the probability of choosing each colour. George chooses a colour at random.

What is the probability that the counter is yellow?

a)

0.15

b)

0.32

c)

0.88

d)

0.12

11.

Work out the value of  4x254x^2-5  when  x=3x=3  

a)

19

b)

139

c)

31

d)

49

12.

Expand 5(2x  3)5\left(2x\ -\ 3\right) 

a)

 10x  310x\ -\ 3  

b)

 10x  1510x\ -\ 15  

c)

 7x7x  

d)

 52x  5352x\ -\ 53  

13.

Factorise completely   2x2+6xy2x^2+6xy  

a)

 2(x2+3xy) 2\left(x^2+3xy\right)\   

b)

 2x(x + 6y)2x\left(x\ +\ 6y\right)  

c)

 x2(2+6y)x^2\left(2+6y\right)  

d)

 2x(x+3y)2x\left(x+3y\right)  

14.

Solve  4y3=174y-3=17  

a)

 y = 3.5y\ =\ 3.5  

b)

 y = 4y\ =\ 4  

c)

 y = 5y\ =\ 5  

d)

 y = 80y\ =\ 80  

15.

Solve  5s7=2s+55s-7=2s+5  

a)

 s=712s=\frac{7}{12}  

b)

 s=3 12s=3\ \frac{1}{2}  

c)

 s=27s=\frac{2}{7}  

d)

 s=4s=4  

16.

AB and CD are straight lines. AB is parallel to CD. Work out the size of angle x. State all the reasons for your answer.

a)

x = 133o

b)

x = 47o

c)

Alternate angles are equal and angles on a straight line add to 180o

d)

Allied angles add to 180o and angles on a straight line add to 180o

e)

Corresponding angles are equal and vertically opposite angles are equal

17.

Work out the area of this shape.

a)

15 cm2

b)

12 cm2

c)

18 cm2

d)

24 cm2

18.

The square has the same perimeter as the rectangle. What is the length of the side of the square?

a)

6 cm

b)

16 cm

c)

9 cm

d)

18 cm

19.

What is the area of this circle to 1 decimal place.

a)

95.0 cm2

b)

17.3 cm2

c)

95 cm2

d)

34.6 cm2

20.

The diameter of the semicircle is 8 cm. Work out the perimeter of the semicircle to 4 significant figures.

a)

50.26 cm

b)

25.13 cm

c)

20.56 cm

d)

20.57 cm