3S-MATHS SHOWDOWN!

Approximation

100

Round 47.683 to 2 decimal places.

47.68

200

Round 0.007846 to 3 significant figures.

0.00785

300

Calculate 18.6 x 4.73, giving your answer to 3 significant figures.

88.0

400

Write 0.0000725 in standard form.

7.25 x 10^-5

500

The distance from a small satellite to a research station is 4.65 x 10⁶ metres. What is the distance as an ordinary number?

4,650,000 metres

Integers

100

Evaluate: -8 + 15 - 6.

1

200

Evaluate: (-7) x 6 + 20/ (-4) 

-47

300

Evaluate: -3 [4 - (-2)²] + 5

5

400

The temperature is -4^oC. It rises by 11^oC, then falls by 16^oC. Find the final temperature. 

-9^oC

500

Evaluate: ( -3 )² - 2[5 - (-4)] / (-3)

15

Indices

100

Simplify: a⁴ x a^-3

a¹

200

x⁹ / x⁴

x⁵

300

(2a³)²

4a⁶

400

6x⁵y^-2 / 3x^-1y²

2x⁶ / y⁴

500

Solve for x: 2^x+1 = 1/2⁴

x = -5

Binomial Expansion

100

Expand: 3(x + 4)

3x + 12

200

Expand and simplify: ( x + 3 )( x + 5 )

x² + 8x + 15

300

Expand and simplify: (2x - 3)²

4x² - 12x + 9

400

Expand and simplify: (3x + 2)(2x - 5)

6x² - 11x -10

500

Expand and simplify: (2x - 3)(x² - 1)

2x³ - 3x² - 2x + 3

Algebraic Fractions

100

Simplify: 3/x + 2/x

5/x

200

Simplify: 5/x - 2/x

3/x

300

Simplify: 2/y x 3y/4

3/2

400

Simpilfy: x/3  /  2x/9

3/2

500

Simplify fully: 2/x+1   +    1/x-1

3x-1/x²-1