Free Printable Year 11 October Assignment

1.

27 ÷ (3 + 6)

a)

15

b)

3

c)

4

2.

48 ÷ (14 – 2)

a)

576

b)

6

c)

4

d)

12

3.

(9 + 2) × 2 + 5

a)

77

b)

18

c)

23

d)

27

4.

(9 + 2) × 2 + 5

a)

77

b)

18

c)

23

d)

27

5.

What is 3x(2+4)

a)

9

b)

16

c)

18

d)

12

6.

-3 + (-2)

(a)

7.

-6 + 7

(a)

8.

-7 + (-8)

(a)

9.

-11 + 15

(a)

10.

3 + (-9)

(a)

11.

-67 + -80

(a)

12.

Round to the nearest hundred:
276

a)

200

b)

250

c)

275

d)

300

13.

By Rounding each number to 1 significant figure, estimate the value of the following calculation:

627 x 14

1.51

a)

6

b)

31.50

c)

4000

d)

3000

14.

What is 12,1045 rounded to 2 Decimal places

(a)

15.

Round 98543.22 to one significant figure

a)

100,000

b)

108,543.22

c)

10

d)

98543.2

16.

Evaluate 2r + 1 if r = 3

a)

6

b)

5

c)

7

d)

8

17.

3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

18.

Evaluate expression if a=3

18 ÷ 2a

a)

3

b)

6

c)

27

d)

9

19.

Evaluate 2a + 4b
if a = 10 and b = 6

a)

20

b)

24

c)

44

d)

4

20.

h - 4w, when h=17 and w = 2

a)

9

b)

19

c)

15

d)

17

21.

Simplify:

5x - 6x - 8x + 7

a)

-9x + 7

b)

10x + 7

c)

9x + 7

d)

9x - 7

22.

Simplify:

10x + 7 - 2x - 2

a)

-12x - 9

b)

-8x - 5

c)

-8x + 5

d)

8x + 5

23.

Simplify:

20y + 19y - 2x + 3x + 2

a)

39x + y + 2

b)

29y - x + 2

c)

39 + 1x

d)

x + 39y + 2

24.

Simplify 5(2 - 7n)

a)

52 - 57n

b)

10 - 7n

c)

10 - 35n

d)

10 + 35n

25.

Simplify the Expression.
3(2x + 7)

a)

Simplified

b)

6x + 21

c)

5x + 10

d)

6x + 7

26.

2(3x - 1) + 10

a)

6x + 12

b)

6x + 8

c)

6x + 9

d)

6x - 8

27.

Find the measure of x, and set the reason.

a)

x=72 (z-shape)

b)

x=72 (F-shape)

c)

x=108 (z-shape)

d)

x=108 (F-shape)

28.

Find the measure of y and set the reason.

a)

y=120 (Z-shape)

b)

y=120 (F-shape)

c)

y=60 (Z-shape)

d)

y=60 (F-shape)

29.

Find the measure of x.

a)

x=96

b)

x=69

c)

x=60

d)

x=111

30.

Find the measure of x.

a)

x=115

b)

x=75

c)

x=105

d)

x=65

31.

Which angle is vertically opposite to angle g?

a)

c

b)

h

c)

d

d)

f

32.

Find the measure of x and y.

a)

x=135

y=135

b)

x=45

y=45

c)

x=60

y=60

d)

x=120

y=120

33.

Find the measure of x.

a)

x=121

b)

x=59

c)

x=130

d)

x=70

34.

Find the measure of x.

a)

x=51

b)

x=64

c)

x=75

d)

x=50

35.

Write as a power: 5 x 5 x 5 x 5

a)

5²

b)

5⁴

c)

4⁵

d)

5⁵

36.

Write as a power: 7 x 7 x 7 x 3 x 3

a)

7³x 3²

b)

7³

c)

7⁴+ 3²

d)

4

37.

Solve the power: 9²

a)

18

b)

90

c)

81

d)

99

38.

Work out the root: √16

a)

2

b)

4

c)

16

d)

8

39.

Work out the root: √144

a)

12

b)

144

c)

16

d)

11

40.

Write as powers: a x a x a x c x b x c x b x b

a)

a³ x b³ x c²

b)

a³ x c³ x a²

c)

abc⁸

d)

a⁴ x b³ x c²

41.

Which number is a factor of 16 and 32

a)

4

b)

3

c)

7

d)

5

42.

Which number is a mulitple of 5 and 6?

a)

10

b)

12

c)

30

d)

48

43.

Which numbers are factors of 18 and 30

a)

1, 3, 6

b)

1, 3, 10

c)

1, 6, 10

d)

1, 6, 15

44.

Which has all the factors of 48

a)

1, 2, 4, 6, 8, 12, 16, 48

b)

1, 2, 6, 8, 12, 16, 24, 48

c)

1, 2, 4, 6, 8, 16, 24, 48

d)

1, 2, 4, 6, 8, 12, 16, 24, 48

45.

Simplify: 3⁵ x 3⁷

a)

3¹²

b)

9¹²

c)

3³⁵

d)

9³⁵

46.

Simplify: 3^-5 x 3^-7

a)

3^-12

b)

9¹²

c)

3³⁵

d)

9³⁵

47.

Simplify: 2⁸ ÷ 2²

a)

2⁶

b)

2⁴

c)

2¹⁰

d)

1

48.

Simplify: f⁰

a)

1

b)

f

c)

f¹

d)

0

49.

Simplify: 3x³ × 6x⁸

a)

18x¹¹

b)

18x²⁴

c)

9x¹¹

d)

9x²⁴

50.

Simplify: 42m¹² ÷ 7m⁶

a)

6m⁶

b)

6m²

c)

35m⁶

d)

35m²

51.

Simplify: (y⁷)²

a)

y¹⁴

b)

y⁴⁹

c)

y⁵

d)

y⁹

52.

Simplify: (3h²)³

a)

27h⁶

b)

27h⁵

c)

9h⁶

d)

9h⁵

53.

Simplify: (3h²)³

a)

27h⁶

b)

27h⁵

c)

9h⁶

d)

9h⁵

54.

10(f + 5)

a)

10f + 50

b)

f + 50

c)

10f + 5

d)

b + c

55.

5(6 + cd)

a)

30 + 5cd

b)

5 + c

c)

11 + 5c

56.

Which of the following is the correct expansion of:
a(a - 10)?

a)

a² - 10a

b)

2a - 10

c)

2a² - 10

d)

a - 10a²

57.

Which of the following is the correct expansion of:
3p(4p - 7q)?

a)

7p - 10pq

b)

12pq - 21q²

c)

9q

d)

12p² - 21pq

58.

-2a(3+b)

a)

-6a-2ab

b)

-6a+2ab

59.

Write in factored form.

12x + 20

a)

2(6x + 10)

b)

3(4x + 5)

c)

4(3x + 20)

d)

4(3x + 5)

60.

Factor 30-24x²

a)

6(5-4x²)

b)

x(5-4x)

c)

6(5x-4x²)

d)

6(15-12x²)

61.

$Factorize:\ 6m^2\ -\ 2m$

a)

$3m\ \left(2m\ -\ 1\right)$

b)

$3m\left(2m\ -2\right)$

c)

$2m\ \left(3m\ -\ 1\right)$

62.

$Factorize:2x\ +\ 4$

a)

$4\left(x\ +\ 1\right)$

b)

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

c)

$2\ \left(x\ +\ 2\right)$

63.

Factorise as fully as possible: 3xy+3x

a)

3x(y+1)

b)

3(xy+x)

c)

x(3y+3)

64.

Factorise: 3x+6

a)

2(x+3)

b)

3(x+2)

c)

6(3x+1)

d)

6(x+1)

65.

Find the value of y.

a)

110

b)

90

c)

130

d)

120

66.

What is the SUM of the INTERIOR angles of a 12-gon?

a)

3600

b)

1800

c)

2160

d)

12

67.

What is the measure of x?

a)

207

b)

477

c)

117

d)

120

e)

102

68.

What is the value of x?

a)

540

b)

108

c)

40

d)

85

e)

114

69.

Solve for x

a)

20

b)

25

c)

120

d)

180

70.

Find the value of x.

a)

18°

b)

28°

c)

38°

d)

118°

71.

Find what the value of x.

a)

118

b)

108

c)

28

d)

58

72.

What is the measurement of the missing angle?

a)

56

b)

52

c)

79

d)

180

73.

1) A camera costs £180 in a 10% sale. What was the pre-sale price?

a)

£200

b)

£18

c)

£198

d)

£162

74.

2) After fuel prices rose by 15%, a family’s annual heating bill was £1654. What would the bill have been without the price increase?

a)

£1438.26

b)

£1945.88

c)

£248.10

d)

£1500

75.

3) The cost of a holiday, including VAT at 20% is £540. What is the pre-VAT price?

a)

£648

b)

£450

c)

£675

d)

£432.80

76.

5) The sale price of a television is £420 after a 15% reduction. What was the price before the sale?

a)

£63

b)

£2800

c)

£494

d)

£365

77.

What is 10% of $250

a)

$2.50

b)

$25

c)

$250

d)

$2500

78.

Eliza bought a meal that cost $ 12.00. She tipped the waiter 25% of that amount. How much was the tip?

a)

$ 15.00

b)

$ 12.25

c)

$3.00

d)

$4.00

79.

What is 25% of 2 hours?

a)

45 minutes

b)

30 minutes

c)

0.3 hours

d)

0.5 minutes

80.

Convert 0.81 to a percent

a)

0.81%

b)

0.18%

c)

8.1%

d)

81%

81.

Convert this decimal to a percentage 0.175

a)

17.5%

b)

1750%

c)

175%

d)

1.75%

82.

Amanda hit the ball 5 out of every 8 times she went up to bat. What is the fraction 5/8 as a decimal?

a)

5.8

b)

0.625

c)

.58

d)

1.6

83.

Today it rained 0.35 inches. Which of the following is equivalent to 0.35?

a)

35

b)

7/20

c)

3.5%

d)

0.35%

84.

Convert the decimal 0.52 to a fraction that is in simplest form.

a)

5/2

b)

52/100

c)

5 2/10

d)

13/25

85.

At a museum, 9% of the art is sculptures. What decimal is equivalent to 9%

a)

0.09

b)

0.9

c)

9.0

d)

900

86.

Bob has $5, he donates 2/5 of it. How much does he have left?

a)

$1

b)

$2

c)

$3

d)

$4

87.

A full steak is $4.80, how much would it cost to buy 1/3 of a steak?

a)

$2.50

b)

$2.10

c)

$1.10

d)

$1.60

88.

Find ⁴/₉ of $54

a)

$20

b)

$24

c)

$18

d)

$30

89.

Find ⁵/₁₂ of $48

a)

$20

b)

$24

c)

$18

d)

$30

90.

Make x the subject of the equation.

$3y\ -5\ =\ x\ +2$

a)

$x=3y-5$

b)

$x=3y$

c)

$x=3y\ -7$

d)

$x=3y\ -\ 3$

91.

Make x the subject of the equation.

$y\ +\ x=\ 2$

a)

$x=\ 2\ -\ y$

b)

$x=y-2$

c)

$x=2$

d)

$x=-y$

92.

y = x + 3w

a)

y + 3w = x

b)

3w + y = x

c)

y - 3w = x

d)

3w - y = x

93.

$y=x^2+99$

a)

y - 99 = x

b)

$\sqrt{y+99}=x$

c)

$y_{ }^2+99=x$

d)

$\sqrt{y-99}=x$

94.

y= 5a+4x

a)

$\frac{y-5a}{4}=x$

b)

$\frac{y+5a}{4}=x$

c)

$\frac{y-4a}{5}=x$

d)

Tuesday

95.

Find the value of x.

(a)

96.

Find the value of x.

(a)

97.

Find the value of x.

(a)

98.

Find the value of x.

(a)

99.

Find the value of x.

(a)

100.

Simplify fully:
√32 + 5√32

a)

6√32

b)

24√8

c)

24√2

d)

6√8

101.

Simplify completely:
2√3 + 4√3

a)

6√3

b)

6√6

c)

8√3

d)

8√6

102.

Simplify fully $\sqrt{7}\times\sqrt{7}$

a)

$7$

b)

$49$

c)

$\sqrt{7}$

d)

$14$

103.

Simplify the following surd...

a)

5√5

b)

3√5

c)

15√3

d)

5√3

104.

Simplify the following surd...

a)

7√7

b)

3√7

c)

9√7

d)

7√3

105.

Expand and simplify ...

(2 + √3)(1 + √3)

a)

5 + 3√3

b)

2 + 3√3

c)

5 + √3

d)

11 + 3√3

106.

Calculate the probability of rolling a 5 on a fair six-sided die.

a)

1/4

b)

1/6

c)

1/3

d)

1/2

107.

If the probability of rain on any given day is 0.3, what is the probability of no rain for 3 consecutive days?

a)

0.9

b)

0.5

c)

0.343

d)

0.2

108.

Use a tree diagram to calculate the probability of flipping a fair coin and rolling a fair six-sided die, and getting a head and a 4.

a)

1/2

b)

1/3

c)

1/6

d)

1/12

109.

If the probability of winning a game is 0.6 and the probability of losing is 0.4, what is the probability of winning 3 games in a row?

a)

0.216

b)

0.72

c)

0.6

d)

0.4

110.

a)

546 m³

b)

456 m³

c)

654 m³

d)

54 m³

111.

Find the volume of the figure. Round to the nearest whole number.

a)

1,944 cm³

b)

108 cm³

c)

972 cm³

d)

216 cm³

112.

What is the volume of this triangular prism?

a)

576 cm³

b)

288 cm³

c)

333 cm³

d)

28 cm³

113.

Find the n^th term of the following sequence...

5, 9, 13, 17...

a)

4n+1

b)

4n-1

c)

n+4

d)

n-4

114.

Find the n^th term of the following sequence...

2, 5, 8, 11...

a)

3n-1

b)

3n+1

c)

n+3

d)

n-1

115.

What is the 20th term in the sequence...

9n - 4

a)

176

b)

184

c)

108

d)

180

116.

Given the nth term is 9-2n, what is the 7th term?

a)

1

b)

-5

c)

-4

d)

-3

117.

Work out an expression for the $nth$ term for each sequence.

-2,\ -7,\ -12,\ -17,\ ...

a)

$-2n+5$

b)

$n-5$

c)

$5n-3$

d)

$−5n+3$

Year 11 October Assignment

Total questions: 117

Worksheet time: 5hrs 52mins

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