Surds
BODMAS
Percentages
Decimals
Rounding
100

4√2 + 2√2

4√2 + 2√2 = 6√2

100

2+5÷5+3 

6

100

100 is what percentage of 300

33.3333…

100

Convert 7348/100 into decimals

73.48

100

In a class there are 20 boys and 15 girls. The ratio of boys to girls is

4:3

200

2√3 × 3√5

6√15

200

3+6-(5x3)

-6

200

Convert 0.175 into percentage

17.50%

200

Convert 5 9⁄12 into decimals.

5.75

200

Divide 120 to the ratio: 4:7:1. Find the value of 4.

36

300

Simplify: √18

√18 = √(3 × 3 × 2)

√18 = √3 × √3 ×√2

√18 = (√3)2×√2

√18 = 3√2

300

(15 × 32 ÷ 2 × 5) ÷ 75

16

300

2200 decreased by 8% is

2024

300

0.847 x 3.54

2.99838

300

The first, second and fourth terms of a proportion are 16, 24 and 54 respectively. Then the third term is:

36

400

Write √7 in exponential form.

71/2

400

 5 × (2 × 34) ÷ 6 + 7 – 8

 134

400

An item is bought for Rs 42 and sold it for Rs. 52.50. Calculate the percentage increase.

25%

400

658.17÷38.46

17.11

400

The ratio of pencils and pens in a shop is 6∶7. If the total number of tools in the shop is 3289, then how many pens are there?

1771

500

Simplify: √21 × √15.

√21 × √15 = √(7 × 3) × √(3 × 5)

√21 × √15 = √(7 × 3 × 3 × 5)

√21 × √15 = 3 √(7×5)

√21 × √15 = 3√35

500

2 + 4 ÷ (22 + 6) × 2


2 2/7

500

The value of x increases from 10 to 15. What is the percent increase of x?

50%

500

Find the value of 29.94 ÷ 1.45, if 2994 ÷ 14.5 = 172.

17.2

500

The angles in a triangle are in the ratio 3:4:5. Work out the size of each angle.

45, 60 and 75.

M
e
n
u