Maths game

Scientific Notation

100

Write this number as a basic numeral. 

5.016 X 10⁵

501600

200

Write this number in scientific notation, using 3 significant figures

5218300

5.22 X 10⁶

300

Write this in scientific, using the number of significant figures given in the brackets 

-23900 (2)

-2.4 X  10⁴

400

write in scientific notation, using three significant figures

9826100005

9.83x10⁹

500

write in scientific notation, using three significant figures

0.11396

1.14x10^-1

+/- Surds

100

2√5+3√5-2√5=

Simplify if possible

3√5

200

23√2- 10√8=

Simplify if possible

3√2

300

-6√9+3√3-8√12=

Simplify if possible

-13√3-18

400

52√20-10√25+7√5=

Simplify if possible

111√5-50

500

22√45-29√5+3√9-8√8=

Simplify if possible

37√5-16√2+9

x/÷ Surds

100

2√3 x 3√6=

Simplify if possible

18√2

200

√8 ÷ √6

Simplify if possible

2√3 /3 

300

3√4x6√9 / 9√2x3√4

Simplify if possible

√2

400

 200√81 x 2√2

Simplify if possible

3600√2

500

5√6x√9 / 8√2x20√8

Simplify if possible

3√6 / 128

Index Laws

100

4a⁰=

evaluate

4

200

4m⁶n⁷ x mn x 5mn²=

simplify

20m⁸n¹⁰

300

-8x²y³ / 16x²y=

simplify 

-y² / 2

400

(4p²q³ / 3r)⁴=

simplify

256p⁸q¹² / 81r⁴

500

(2m³)² / 3(mn⁴)⁰ x (6n⁵)² / (-2n)³m⁴=

simplify

-6m²n⁷ 

Rational Indices

100

Solve x 

5^x=25

x=2

200

express in index form

³√35

35^1/3

300

express in index form

2⁴√g³h⁵

2g^3/4h^5/4

400

express in surd form

3^4/7

⁷√81

500

Evaluate the following

16^1/4

2