Free Printable GCSE Maths Year 11

1.

Find 60% of 25

(a)

2.

Increase 550 by 90%

(a)

3.

Jamie bought some sweets for £25. He sold them for £36. Find his percentage profit.

(a)

4.

Ann buys a dress in a sale. The normal price of the dress is reduced by 20%. The normal price is £36.80 Work out the sale price of the dress

a)

£29.44

b)

£7.36

c)

£30.67

d)

£44.16

5.

a)

Rebecca

b)

Jennifer

c)

They have the same percentage improvement

6.

Write a decimal number equivalent to the percentage 50%.

(a)

7.

What is 25% of 80m²?

a)

20m²

b)

40m²

c)

10m²

d)

25m²

8.

Find an 82% decrease on £460

a)

£82.80

b)

£88.20

c)

£82.20

d)

£88.80

9.

Find a 7% increase on £280

a)

£299.60

b)

£296.60

c)

£299.90

d)

£296.90

10.

Find 27% of £320

a)

£86.40

b)

£84.60

c)

£86.60

d)

£84.40

11.

Find the percentage change in the following price increase:

£810 to £1539

a)

90%

b)

92%

c)

95%

d)

85%

12.

Find the percentage change in the following price reduction:

£740 to £710.40

a)

4%

b)

96%

c)

6%

d)

94%

13.

Emily’s parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semiannually,what will be the balance after 18 years?

a)

$6,273.50 frustrated

b)

$6,314.08 bewildered

c)

$6,385.72 pleased

d)

$6,427.94 tickled pink

14.

The compound interest formula is:
A = P(1 + r)^tWhat does the A represent?

a)

The amount of interest earned.

b)

The amount of time that has passed.

c)

The total amount of money after a certain amount of time.

d)

The amount required to invest.

15.

A bank loan of $4700 charged at 20% interest compounded quarterly. Which of the following will calculate the total owed after 3 years?

a)

$4700\left(1.20\right)^3$

b)

$4700\left(1.05\right)^3$

c)

$4700\left(1.04\right)^{15}$

d)

$4700\left(1.05\right)^{12}$

16.

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays a simple interest rate of 3.8%. What will be the amount of interest earned after 15 years?

(a)

17.

Sahil took a loan for 6 years at the rate of 5% per annum on Simple Interest, If the total interest paid was Rs. 1230, the principal was?

a)

Rs 4100

b)

Rs 4200

c)

Rs 4300

d)

Rs 4400

18.

After 12 years, a deposit of $10,000 into your college account has earned $6,000 in interest payments. What simple interest rate did the account earn?

a)

50%

b)

5%

c)

500%

d)

7.5%

19.

The simple interest formula is I=Prt. What does the t represent?

a)

Principle

b)

Interest

c)

Time, in hours

d)

Time, in years

20.

Starting money = $350.
Interest rate = 2.5%
TIme = 3 years.
How much interest?

a)

$7.50

b)

$26.25

c)

$87.5

d)

$262.50

21.

Which number is a factor of 10

a)

3

b)

4

c)

5

d)

8

22.

Joe has listed the first 4 multiples of 7 as:
7 14 22 28
Which one is incorrect?

a)

7

b)

14

c)

22

d)

28

23.

Find the LCM of 8 and 24 ...

a)

24

b)

48

c)

32

d)

64

24.

Write 80 as the product of it's prime factors...

Write your answer in index form...

a)

2⁴ x 5

b)

2 x 2 x 2 x 5 x 5

c)

2 x 2 x 2 x 2 x 5

d)

2³ x 5²

25.

What is the only even number that is prime?

a)

1

b)

2

c)

4

d)

10

26.

Is 17 a prime or composite number?

a)

prime

b)

composite

27.

a(b-6) =

(a)

28.

5(2e-4) =

(a)

29.

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

a)

$3x$

b)

$-2x$

c)

$3x-15$

d)

$3x-2$

30.

Expand and simplify 2(x + 3) + 4

a)

2x + 10

b)

2x + 7

c)

2x + 14

d)

x + 10

31.

Expand and simplify -2(3x - 4).

a)

-6x + 8

b)

-6x - 6

c)

-6x - 8

d)

6x + 8

32.

Expand and simplify 4(7x + 3).

a)

28x + 12

b)

28x + 3

c)

47x + 12

d)

47x + 3

33.

Expand 4(2x + 3)

a)

6x + 7

b)

8x + 3

c)

6x + 12

d)

8x + 12

34.

Factorise 2x + xy - 6 - 3y

a)

x (2 + y) - 3(2 + y)

b)

(2 + y)(x - 3)

c)

x (2 + y) - 3(2 - y)

d)

(2 + y)(x + 3)

35.

Expand -(8x+2y-9)

a)

-8x-2y-9

b)

-10xy-72

c)

-10xy+72

d)

-8x-2y+9

36.

Factorize. 4x+20

a)

4(x+20)

b)

20x+20

c)

4(x+5)

d)

5(4x+5)

37.

Factorize 2ab-4ac

a)

2(ab-2ac)

b)

2a(b-2c)

c)

4a(2ab-4ab)

d)

-2ac

38.

Expand and simplify
$2\left(w+3\right)-3\left(7-w\right)$

a)

$5w-15$

b)

$5w+27$

c)

$-w+27$

d)

$-w-14$

39.

Expand
$2s\left(t-s\right)$

a)

$2st-s^2$

b)

$-2st+s^2$

c)

$2t-s$

d)

$2s-t$

40.

Expand
$4\left(5x+2\right)$

a)

$45x+42$

b)

$20x+8$

c)

$9x+6$

d)

$8x+20$

41.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

42.

solve for c

a)

7

b)

9

c)

4

d)

13

43.

What is the length of the monitor diagonally in two decimal places ?

a)

32.1

b)

32.10

c)

54.75

d)

47.2

44.

Find the missing side of this right angled triangle...

a)

16.1cm

b)

11.4cm

c)

16.2cm

d)

11.5cm

45.

Find the value of the missing side...

a)

5.4cm

b)

5.5cm

c)

11cm

d)

11.1cm

46.

Calculate the length of b in this triangle.

a)

31

b)

36

c)

60

d)

62

47.

Determine the value of x.

a)

35

b)

20

c)

8

d)

12

48.

What is the length of x?

(a)

49.

What is the formula used to solve for the hypotenuse?

a)

a²+b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c-a=c

50.

What is the relation between the three sides of the right-angled triangle in the figure?

a)

$x^2+y^2=z^2$

b)

$x^2+z^2=y^2$

c)

$y^2+z^2=x^2$

d)

$x+z=y$

51.

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they don't play Football?

a)

¹⁴/₈₀

b)

¹³/₈₀

c)

⁷⁶/₈₀

d)

⁷⁵/₈₀

52.

Mr. Abi likes ....

a)

Playing Toys

b)

Sandwich

c)

Meat ball

53.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

54.

How many senior boys play football but do not wrestle?

a)

9

b)

12

c)

18

d)

104

55.

How many students walk and take the bus?

a)

19

b)

48

c)

8

d)

10

56.

How many trucks are there total?

a)

60

b)

20

c)

80

d)

25

57.

The venn diagram shows the number of people in a group of friends who have brown hair and green eyes.

What is the probability of a friend having green eyes?

a)

3

b)

1

c)

2

d)

3/11

58.

How many students took the survey?

a)

32

b)

47

c)

53

d)

56

59.

How many students have Netflix or Prime?

a)

330

b)

60

c)

190

d)

20

60.

How many students like rap and rock but not country?

a)

18

b)

20

c)

46

d)

53

61.

How many students do not snowboard?

a)

21

b)

22

c)

28

d)

29

62.

The venn diagram shows the number of students in chorus, band, and/or orchestra.

How many students are in chorus, band, and orchestra?

a)

5

b)

9

c)

24

d)

15

63.

Find the area of the triangle.

a)

11 cm²

b)

15 cm²

c)

30 cm²

64.

Find the AREA of this figure.

a)

160 square feet

b)

52 square feet

c)

16 square feet

d)

26 square feet

65.

a)

12cm²

b)

14

c)

14cm²

d)

145

66.

What is the volume of this prism?

a)

24 cubic cm

b)

240 cubic cm

c)

60 cubic cm

67.

Find the Area.

a)

40 in²

b)

40

c)

40 in

d)

4 in²

68.

a)

80 in³

b)

24 in³

c)

21 in³

d)

13 in³

69.

Find the volume of the solid. Use the pi button on your calculator.

a)

16.8 cm³

b)

50.3 cm³

c)

100.5 cm³

d)

12.6 cm²

70.

What is the mean of these numbers?
4,5,5,2,3,3,2,8

a)

40

b)

24

c)

4

d)

256

71.

Find the median of these numbers:
4,2,7,4,3

a)

2

b)

5

c)

7

d)

4

72.

Find the Mean.

a)

53.5

b)

48

c)

49

d)

48.6

73.

What is the median?

a)

62

b)

58

c)

66

d)

60

74.

Find the mode of these numbers:

4,3,6,4,3,6,6,3,2,1,3

a)

3

b)

6

c)

4

d)

2

75.

Find the mode of these numbers:
4,4,6,6,2,2,6,2,4,2

a)

2

b)

4

c)

6

d)

2.4

76.

What is the median?

a)

biggest- smallest

b)

average

c)

the middle #

d)

# that happens the most

77.

Find the range of these numbers:
15,2,3,7,8,4,3,2,16,2,4

a)

2

b)

13

c)

14

d)

7

78.

The scores awarded to 25 students for an assignment were as follows:
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?

a)

6

b)

7

c)

8

d)

9

79.

Find the median.
12, 5, 9, 18, 22, 25, 5

a)

9

b)

8

c)

12

d)

18

80.

In order to find the median, the data must be sorted from least to greatest first.

a)

True

b)

False

81.

What is the Lower Quartile Length?

a)

28 cm

b)

30 cm

c)

33 cm

d)

20 cm

82.

What is the perimeter of the rectangle?

a)

14 feet

b)

28 feet

c)

48 feet

d)

2 feet

83.

What is the perimeter?

a)

20

b)

5

c)

4

84.

What is the perimeter of this shape?

a)

24cm

b)

16cm

c)

22cm

d)

30cm

85.

Find the perimeter of the equilateral triangle

a)

9m

b)

12.5m

c)

13.5m

d)

14.5m

86.

Which of these is a correct formula?

a)

$Density=Mass\times Volume$

b)

$Mass=\frac{Volume}{Density}$

c)

$Volume=Mass\times Density$

d)

$Volume=\frac{Mass}{Density}$

87.

A body with a mass of 400 g has a volume of 8 cm³ . What is its density?

a)

5 g/cm³

b)

392 cm³

c)

400

d)

50 g/cm³

88.

Find the value of the missing side...

a)

5.7cm

b)

5.6cm

c)

2.6cm

d)

2.7cm

89.

Which of the following is a right-angled

triangle?

a)

b)

c)

d)

90.

What is the formula used to solve for the hypotenuse?

a)

a²+b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c-a=c

GCSE Maths Year 11

Total questions: 90

Worksheet time: 5hrs 45mins

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