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Pythag and Arithmetic Revision

Total questions: 26

Worksheet time: 25mins

Name
Class
Date
1.

Work out x (type just the number correct to 3sf)

(a)  

2.

Work out x (type just the number correct to 3sf)

(a)  

3.

Work out x (type just the number correct to 3sf)

(a)  

4.

Write this in simplified surd form. Type sqrt( ) and include the correct number in the bracket.

Eg sqrt(7)

(a)  

5.

Write this in simplified surd form. Type sqrt( ) and include the correct number in the bracket.

Eg sqrt(7)

(a)  

6.

Is this a right angled triangle?

a)

Yes

b)

No

7.

Is this a right angled triangle?

a)

Yes

b)

No

8.

Is this a right angled triangle?

a)

Yes

b)

No

9.

A rectangle has sides of length 8 cm and 3 cm. Find the length of its diagonals. (Correct to 3 sf)

(a)  

10.

A rhombus has sides of length 6 cm. One of its diagonals is 10 cm long. Find the length of the other diagonal. (Correct to 3sf)

(a)  

11.

A room is 5 m by 3 m and has a height of 3.5 m. Find the distance from a corner point on the floor to the opposite corner of the ceiling. (Correct to 3sf)

(a)  

12.

Express as a percentage:

35 marks out of 50 marks

(a)  

13.

Write this percentage as a decimal:

7%

(a)  

14.

Find:

20% of 3kg

(include units)

(a)  

15.

(Three part question)

Petra has a monthly income of $4700. She does not pay any tax on the first $2400 she earns, but has to pay 15% of the remainder as tax.

How much tax does Petra have to pay?

(a)  

16.

(Three part question)

Petra has a monthly income of $4700. She does not pay any tax on the first $2400 she earns, but has to pay 15% of the remainder as tax.

How much does Petra have left after tax?

(a)  

17.

(Three part question)

Petra has a monthly income of $4700. She does not pay any tax on the first $2400 she earns, but has to pay 15% of the remainder as tax.

What percentage of the $4700 does Petra actually pay in tax? (Correct to 3sf)

(a)  

18.

A tennis raquet was bought for $95 and then sold for $132. Find the profit as a percentage of the cost price. (Correct to 3sf)

(a)  

19.

Calculate the interested earned of:

$8500 invested at 6.8% simple interest per year for 3 years. (Give to the nearest $)

(a)  

20.

What rate of simple interest must be given if you want to earn $800 after 5 years of investing $6000? (Correct to 3sf)

(a)  

21.

Linda scored 80% in her French test. If she received 60 marks, find the total number of marks possible for the test.

(a)  

22.

What multiplier would you use to increase by 15%

(a)  

23.

What multiplier would you use to decrease by 7.2%

(a)  

24.

What would the final balance be in an account where $2500 was invested for 3 years at 6% interest per year? (Correct to 2dp)

(a)  

25.

A car travelled for 2 h 30 min at an average speed of 65 km/h. What was the distance travelled? (Correct to the nearest km)

(a)  

26.

A student walked for 2 hours at 3.5km/h and then for 1 hour at 2 km/h. What was the total distance walked? (Include units)

(a)