Free Printable Final Stage - Year 7 Mathematics Competition

1.

The graph shows the movement of an object.

How long did it take this object to travel 10 m?

a)

0 s

b)

10 s

c)

15 s

d)

20 s

2.

Find the perimeter of this triangle.

a)

150 ft

b)

100 ft

c)

20 ft

d)

35 ft

3.

Find the area.

a)

128 m²

b)

64 m²

c)

144 m²

d)

72 m²

4.

The difference in time between 1:20pm Friday and 9:09am the following Sunday is:

a)

23 hours and 11 minutes

b)

19 hours and 49 minutes

c)

43 hours and 49 minutes

d)

51 hours and 11 minutes

5.

If a plane arrives in Brisbane at 6:03pm from a 2 hour and 18 minute flight, when time did it depart?

a)

8:21pm

b)

3:45pm

c)

4:15pm

d)

5:15pm

6.

It takes Rylan 16 minutes to do his Maths homework. How long would it take him to complete homework for 3 lessons?

(a)

7.

If Trisha spends 1 hour 15 minutes on Monday, 2 hours and 12 minutes on Tuesday and 35 minutes on Wednesday to do her Maths homework, how long did she spend doing Maths homework that week altogether? (write answer in the format of __ hours and __ minutes

(a)

8.

Mieke is allowed to stay up until 9:30pm on a Friday night. If she wanted to watch an 86 minute episode of Stranger Things, what time would she need to start watching?

(a)

9.

Lenyx has made a soccer training schedule. He will begin training at 0615 and finish at 0705. He will train again in the afternoons from 1600 until 1810. How long will Lenyx train every day?

(a)

10.

A chord that passes through the center of the circle is called the...

a)

Radius

b)

Diameter

c)

Arc

d)

circumference

11.

A line segment that joins two points on a curve is called_________________.

a)

radius

b)

chord

c)

diameter

d)

circumference

12.

Name the pictured part of the circle.

a)

Radius

b)

Central Angle

c)

Diameter

d)

Center

e)

Arc

13.

Simplify
$5-7s-9d$
When s = 4 and d = 3

a)

-50

b)

6

c)

4

d)

-55

14.

Simplify
$-4\left(2d+3b\right)$
When b = -9 and d = -6

a)

0

b)

144

c)

-144

d)

156

15.

Simplify
$-\frac{-6}{z}-7s$
When z = -3 and s = -7

a)

47

b)

51

c)

-51

d)

-47

16.

Simplify
$7\left(-5b-9f\right)$
When b = 9 and f = -8

a)

189

b)

-819

c)

-189

17.

Simplify
$\frac{k}{-3}-3x$
When k = -9 and x = -5

a)

-18

b)

-12

c)

12

d)

18

18.

Simplify
$3b-\frac{-12}{r}$
When r = -4 and b = -2

a)

-3

b)

-9

c)

9

d)

3

19.

A 6-gram package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-gram package?

a)

25 pieces

b)

35 pieces

c)

75 pieces

d)

70 pieces

20.

A shop produces 39 wetsuits every 2 weeks. How long will it take the shop to produce 429 wetsuits?

a)

18 wk

b)

20 wk

c)

22 wk

d)

24 wk

21.

The ratio of boys to girls in history class is 4 to 5. How many girls are in the class if there are 12 boys in the class?

a)

12 girls

b)

15 girls

c)

5.3 girls

d)

27 girls

22.

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?

a)

2.5 cups milk

b)

1.75 cups milk

c)

2 cups flour

d)

2.25 cups milk

23.

6 men can paint a building in 15 days. Find the number of days taken for 5 men to paint the same building.

a)

10

b)

14

c)

18

d)

22

24.

If 8 men can assemble 28 cars in one day, how many cars can 20 men assemble in one day?

a)

60

b)

70

c)

80

d)

90

25.

Given the above relationship, find the value of x when y=6.

a)

x=6

b)

x=-6

c)

x=-6 or +6

d)

x=4

26.

Ten identical pipes turned on simultaneously can fill a swimming pool in 9 hours. How long will it take 6 pipes to fill the same swimming pool?

a)

12

b)

13

c)

14

d)

15

27.

4 ⅛ ÷ 1 ⅚ =

a)

2 ¼

b)

4 5/48

c)

1 ⅓

d)

4 ¼

28.

5% of x is 30, then x is

a)

150

b)

160

c)

600

d)

60

29.

If 7/3% of a number is 42, then the number is

a)

9800

b)

8

c)

1800

d)

180

30.

If 90% of x is 315 km, then the value of x is

a)

325 km

b)

350 m

c)

350 km

d)

325 m

31.

3.24 ÷ 0.6 =

a)

5.25

b)

0.54

c)

5.4

32.

54 ÷ 1.2 =

a)

4.5

b)

16

c)

45

d)

3

33.

0.65 × 1.2 =

a)

78

b)

7.8

c)

0.78

34.

0.03 ⋅ 14 =

a)

42

b)

0.42

c)

0.042

d)

4.2

35.

Find the mean of the numbers below:

2, 8, 6, 3, 12, 7, 4

a)

5

b)

6

c)

7

d)

8

36.

Find the mean of the numbers below:

3, 2, 1, 3, 2, 1, 3, 2, 1, 3, 2, 1

a)

3

b)

2

c)

1

d)

4

37.

The mean of four numbers is 10.

Three of the numbers are 9, 11 and 7.

Work out the fourth number.

a)

9

b)

13

c)

11

d)

15

38.

The mean of six numbers is 5.

Five of the numbers are 6, 6, 5, 3 and 1.

Work out the sixth number.

a)

4

b)

9

c)

4.2

d)

7

39.

The mean of five numbers is 8.2.

Four of the numbers are 8, 10, 12 and 10.

Work out the fifth number.

a)

10

b)

11

c)

1

d)

3

40.

What is the value of 'a'?

a)

28

b)

21

c)

18

d)

38

41.

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

a)

2

b)

5

c)

7

d)

4

42.

To find the ______ you put all numbers in order from least to greatest and then take the largest number minus the smallest number.

a)

Mean

b)

Median

c)

Mode

d)

Range

43.

To find the ________ you put all numbers in order from least to greatest and find the number that is in the middle.

a)

Mean

b)

Median

c)

Mode

d)

Range

44.

A data set can have more than one median?

a)

True

b)

False

45.

A data set can have more than one mode

a)

True

b)

False

46.

20 Fuji apples cost $12. How many Fuji apples can you buy for $3?

Select the proportion that represents the situation correctly.

a)

$\frac{20\ apples}{12\ dollars}=\frac{x\ apples}{3\ dollars}$

b)

$\frac{20\ apples}{3\ dollars}=\frac{x\ apples}{12\ dollars}$

c)

$\frac{12\ dollars}{20\ apples}=\frac{x\ apples}{3\ dollars}$

d)

$\frac{3\ dollars}{12\ dollars}=\frac{20\ apples}{x\ apples}$

47.

Mike was planning a trip to the country Jordan. Before going, he did some research and learned that the exchange rate is 3 Dinars for every $4. How many Dinars would he get if he exchanged $300?

Solve the proportion.

a)

$225

b)

$400

c)

$0.40

d)

$175

48.

If you can buy four bunches of purple grapes for $10, then how many can you buy with $25?

Select the proportion that correctly represents the situation.

a)

\frac{4\ bunches}{10\ dollars}=\frac{x\ bunches}{25\ dollars}

b)

$\frac{4\ bunches}{25\ dollars}=\frac{x\ bunches}{10\ dollars}$

c)

$\frac{4\ dollars}{10\ bunches}=\frac{x\ dollars}{25\ bunches}$

d)

$\frac{4\ bunches}{25\ dollars}=\frac{10\ bunches}{x\ dollars}$

49.

Name the sides from SMALLEST to LARGEST

a)

RS, ST, TR

b)

ST, RT, RS

c)

RT, ST, RS

d)

RT, RS, ST

50.

Click two boxes only (take you time).

a)

There are two missing angles inside the triangle.

b)

You need to calculate the green angle first.

c)

This is impossible

d)

This question is silly

Final Stage - Year 7 Mathematics Competition

Total questions: 50

Worksheet time: 2hrs 33mins

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