Free Printable ChristMaths

1.

How many sides does an octagon have?

a)

8

b)

6

c)

7

d)

10

2.

Mince pies cost twice as much as chocolate coins but half as much as christmas puddings. Chocolate coins are £1.75. How much are christmas puddings?

a)

£7.00

b)

£6.00

c)

£9.00

d)

£7.50

e)

Rudolph

3.

Santa's sleigh flies up from the ground at an angle of 45 degrees. When his sleigh is 1 km high how far has he travelled?

a)

$\sqrt{2}km$

b)

$1\ km$

c)

$2\ km$

d)

$1.4\ km$

e)

An elf

4.

How many different ways can you rearrange the letters in the word ELF?

a)

6

b)

3

c)

9

d)

12

e)

LEF

5.

If 3 elves can make 10 toys in 1 hour, how long does it take 6 elves to make 5 toys?

a)

10 mins

b)

15 mins

c)

20 mins

d)

30 mins

e)

Blitzen

6.

How many days before Christmas Day is Boxing Day

a)

It depends

b)

1

c)

2

d)

364

e)

365

7.

Dante & Felix take part in a secret santa with three other people. What is the chance they give each other a present?

a)

5%

b)

4%

c)

10%

d)

20%

e)

It's impossible

8.

If I fold a square piece of wrapping paper in half twice which shapes can i make?

a)

Rectangle, Square & Triangle

b)

Rectangle & Square only

c)

Square & Triangle only

d)

Rectangle only

e)

A reindeer shape

9.

How many different ways can you rearrange the letters in the word SANTA

a)

60

b)

120

c)

30

d)

15

e)

ELF!!

10.

How long was the world's biggest christmas cracker?

a)

63.1 metres

b)

24.9 metres

c)

Over 100 metres

d)

12.3 metres

e)

1 mile

11.

A family consisting of two parents and three children give each other christmas presents. The parents give each other a present and one to each of the children. Each child gives everyone else a present. How many presents are given in total?

a)

17

b)

18

c)

19

d)

20

e)

This is the wrong answer.

12.

The largest snowball fight in the world had how many participants

a)

7,681

b)

18,903

c)

236,998

d)

45,871

e)

2

13.

Solve the following

a)

16

b)

18

c)

20

d)

22

14.

Name the transformation.

a)

Translation

b)

Reflection

c)

Rotation

15.

Find the surface area of the rectangular prism.

a)

94 cm. squared

b)

60 cm. squared

c)

12 cm. squared

d)

19 cm. squared

16.

Find the total surface area of the prism.

a)

161 square feet

b)

1,700 square feet

c)

75 square feet

d)

186 square feet

17.

Tell whether the two figures are similar. Explain your reasoning.

a)

Yes, similar because they are the same shape and side lengths are proportional.

b)

No, not similar because they are the same shape, but side lengths are not proportional.

c)

Yes, same shape

d)

No, different sizes

18.

The pair of figures are similar. Find the missing side.

a)

x = 9

b)

x = 28

c)

x = 7

d)

x = 63

19.

What is the gradient of the line
y = 2x - 3?

a)

2

b)

-3

c)

3

d)

2x

20.

What is the y-intercept of the line
y = 4x - 6?

a)

4

b)

4x

c)

6

d)

-6

21.

Which of these lines passes through the point (3, 7)?

a)

y = 2x + 4

b)

y = x + 5

c)

y = x + 10

d)

y = 3x - 2

22.

What is the y-intercept of the line
y = 4x - 6?

a)

4

b)

4x

c)

6

d)

-6

23.

Find the gradient of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

24.

3x(x+1)

a)

3x²+1

b)

3x²+3x

c)

3x+1

25.

8x ≥ -32

a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

26.

Divide these fractions

a)

8 / 2

b)

54 / 4

c)

9 / 2

d)

9 / 24

27.

I have an 20 pound bag of dog food. If it is 2/3 full right now, how much dog food is in the bag?

a)

13 1/3 pounds

b)

30 pounds

c)

19 1/3 pounds

d)

12 2/3 pounds

28.

Change 33/4 to a mixed number.

a)

8 1/4

b)

8 3/4

c)

7 1/4

d)

7 2/4

29.

Find the mean from the following data...

1, 8, 3, 2, 8, 8

a)

8

b)

5

c)

6

d)

7

30.

Find the median from the following data...

1, 8, 3, 2, 8, 8

a)

8

b)

5.5

c)

6

d)

6.5

31.

Find the range from the following data...

1, 8, 3, 2, 8, 8

a)

8

b)

5

c)

6

d)

7

32.

2 marks

a)

10a⁵b⁴

b)

7a⁵b⁴

c)

10a⁵b³

d)

7a⁵b³

33.

4 marks

a)

7.92

b)

79.2

c)

10

d)

7.2

34.

3 marks

a)

y = 5p² - x

b)

y = (5p - x)²

c)

y = 5(p - x)²

d)

y = (5p)² - x

35.

3 marks

a)

x = 0.29

x = -2.29

b)

x = 0.87

x = -6.87

c)

x = 2.29

x = -0.29

d)

x = -0.42

x = -1.58

36.

3 marks

a)

29.25

b)

28.75

c)

24.25

d)

23.75

37.

3 marks

a)

x = 9.25

b)

x = 20.5

c)

x = 11.25

d)

x = 10.25

38.

Write in standard form

3500

a)

$3.5\times10^3$

b)

$35\times10^1$

c)

$3.5\times10^2$

39.

Evaluate, leaving your answer in standard form

\left(1.2\times10^{-2}\right)+\left(2.4\times10^{-1}\right)

a)

$2.52\times10^1$

b)

$2.52\times10^{-1}$

c)

$25.2\times10^{-2}$

40.

Evaluate, leaving your answer in standard form

\left(1.2\times10^3\right)\div\left(2.4\times10^5\right)

a)

$0.5\times10^{-3}$

b)

$5\times10^{-3}$

c)

$5\times10^{-2}$

41.

I buy a watch in a sale of 35%. In the sale the watch costs £78. How much did it cost before?

a)

£120

b)

£105.30

c)

£110

d)

£50.70

42.

A pencil measures 14cm to the nearest centimetre. Which is the correct error interval?

a)

$13.5<x\le14.5\$

b)

$13.5<x<14.5\$

c)

$13.5\ge x>14.5$

d)

$13.5\le x<14.5$

43.

A number is 7 when it has been truncated. Which is the correct error interval?

a)

$6.5\le x<7.5$

b)

$7\le x<8$

c)

$6\le x<7$

d)

$7<x<8$

44.

Evaluate
$2\frac{2}{3}+5\ \frac{1}{7}$

a)

$7\ \frac{17}{21}$

b)

$2\ \frac{1}{21}$

c)

$7\ \frac{13}{21}$

45.

The ratio of red to black is 3 : 4 and the ratio of black to green is 5 : 2. What is the ratio of red to green?

a)

15 : 10

b)

15 : 6

c)

6 : 15

d)

3 : 2

46.

y is proportional to x. x = 5 when y = 15.

Which is the correct formula?

a)

$y=\frac{75}{x}$

b)

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

c)

$y=3x$

d)

$x=3y$

47.

$16^{-\ \frac{1}{2}}$ Calculate

a)

$4$

b)

$\frac{1}{4\ }$

c)

$\frac{1}{8}$

d)

$8$

48.

$\frac{3^5\times3^4}{3^2}$

Simplify

a)

$3^{10}$

b)

$3^{4.5}$

c)

$3^7$

d)

$1^7$

49.

$2^x\times4^2=8^{ }$

What is x?

a)

-1

b)

1

c)

-2

d)

2

50.

2 marks

a)

b)

c)

d)

51.

1 mark

a)

p⁶

b)

p⁵

c)

p³²

d)

p^1.5

52.

2 marks

a)

5n - 1

b)

4n + 1

c)

n + 5

d)

4n + 5

53.

2 marks

a)

x > 4.5

b)

x > 2.83

c)

x > 0.5

d)

x > 3.5

54.

2 marks

a)

3.3 cm

b)

7.5 cm

c)

8 cm

d)

18 cm

55.

4 marks

a)

40^o

b)

70^o

c)

60^o

d)

50^o

56.

2 marks

a)

360 g

b)

900 g

c)

380 g

d)

600 g

57.

2 marks

a)

55^o

b)

35^o

c)

45^o

d)

65^o

58.

2 marks

a)

y(y - 16)

b)

(y - 4)(y - 4)

c)

(y - 4)(y + 4)

d)

y(y - 4)

59.

Expand and simplify

2(m – 3) + 3(m + 4)

a)

5m + 1

b)

5m + 6

c)

2m - 6 + 3m + 12

d)

2m - 3 + 3m + 4

60.

Describe the relationship between the value of a car and the age of the car.

a)

Negative.

b)

As the car gets older, the value decreases.

c)

Positive.

d)

As the car gets older, the value increases.

61.

If you were to draw a line of best fit on the graph it would look like a .....

a)

curved line through the points

b)

squiggly line that joins all points

c)

straight line from (0,0) to the middle of the points

d)

straight line going downwards through the middle of all the points.

62.

There are 270 students in Year 7

Each student studies one of French or German or Spanish.

Of these 270 students

2/9 study French

the number who study French : the number who study Spanish = 3 : 7

42 boys study German

Of the students who study German, what percentage are boys?

a)

60%

b)

40%

c)

42

d)

70

63.

Write 6.5 x 10^-4as an ordinary number.

a)

650000

b)

65000

c)

0.0065

d)

0.00065

64.

Work out (3 x 10^-7) x (8 x 10^-6)

Give your answer in standard form.

a)

24 x 10^-13

b)

2.4 x 10^-14

c)

2.4 x 10^-12

d)

24 x 10^-1

65.

$\frac{58.8^2}{\sqrt{1604}}$ Work out an estimate of the calculation on the left.

a)

90

b)

9

c)

200

d)

900

66.

$\frac{-5\pm\sqrt{\left(-5\right)^2-4\ \times1\times2}}{2}$

Julie has to solve x 2 – 5x + 2 = 0
Here is the first line of her working.

What has she done wrong?

a)

It should not be $\left(-5\right)^2$ inside the square root

b)

it should be 2 x 1 x 2 inside the square root

c)

it should be + 4 x 1 x 2 inside the square root

d)

the numerator should start with $5\pm$ and not -5

67.

$y\ =\ \frac{x^2-3}{2x^2+1}$

Make x the subject of the formula

a)

$\sqrt{\frac{-3-y}{2y-1}}$

b)

$\frac{-3-y}{2y-1}$

c)

$-3-\frac{y}{2y-1}$

d)

$-3-\sqrt{\frac{-y}{2y-1}}$

68.

size of angle ABO : size of angle ODA = 2 : 1

Find an expression for y in terms of x.

a)

y = 60 - x

b)

3x+3y=180

c)

3y + 6x = 180

d)

y = 2x

69.

Factorise fully 3x ² – 12y ²

a)

3(x²-4y²)

b)

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

c)

(3x-6y)((x+2y)

d)

3(x-y)(x+y)

70.

$12^{\frac{-3}{2}}\ =\ \ \frac{\sqrt{3}}{h}$

Find the value of h, which is an integer

a)

24

b)

8

c)

12

d)

72

71.

Write 3x ² – 24x + 38 in the form

a(x – b)² – c

where a, b and c are integers.

a)

3(x-4)²+22

b)

3(x-4)²-10

c)

3(x-4)²-78

d)

3(x²-8x)+38

72.

What day is the most important at Christmas time in the UK?

a)

Christmas Eve

b)

Christmas Day

c)

Boxing Day

73.

What do people in Britain usually do on Boxing Day?

a)

They open their presents

b)

They eat Christmas dinner

c)

They go shopping

74.

What do children in America leave for Santa Claus by the fireplace?

a)

mince pie and brandy

b)

bread and butter

c)

milk and cookies

75.

How do Elves clean Santa's sleigh after he has delivered all the presents>

(a)

76.

What do Japanese people traditionally eat for Christmas dinner?

a)

McDonalds

b)

Turkey

c)

Fish and Veg

d)

KFC

77.

Before turkey. What was the traditional meal cooked at Christmas in England?

a)

Pigs head with mustard

b)

Beef brisket

c)

Chicken with roast potatoes

d)

Pork Pies

ChristMaths

Total questions: 77

Worksheet time: 2hrs 10mins

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