Year 8 Delta 3

Quadratic Sequences

100

What is the general form for a quadratic sequence formula?

an²+bn+c

200

Write out the next three terms or this sequence

3, 6, 11, 18...

27, 38, 51

300

Work out the first 4 terms of the sequence -3n²-5

400

Find the nth term of 

2, 6, 12, 20

n²+n

500

Find the nth term of 

3, 0, -7, -18

-2n²+2n+3

Indices

100

What is 8^1/3

2

200

Work out 5^-1 + 5^-2

6/25

300

Express 4×16 as a power of 2.

2⁵

400

Evaluate:

32^−2/5

giving your answer in its simplest form.

1/4

500

Evaluate:

(125/8)^−1/3

giving your answer in its simplest form.

2/5

Standard Form

100

Write 0.007231 in standard form

7.231 x 10^-3

200

Order from smallest to largest

3.1 x 10^-3, 3.2 x 10^-2, 3.22 x 10^-3

3.1 x 10^-3, 3.22 x 10^-3,  3.2 x 10^-2

300

Work out (4.1 x 10^-6) x (2 x 10³)

8.1 x 10^-3

400

Work out (7.9 x 10²) x (6.3 x 10³)

4.977 x 10 ⁶

500

The mass of a really really big car is 2.397×10⁶kg.

A more reasonably sized car is 0.4 times as large. Determine the mass of the smaller car, ensuring you give your answer in standard form, correct to two significant figures.

9.6 x 10⁵

Surds

100

Simplify √ 8

2√ 2

200

Simplify √ 75

5√ 3

300

What is √ 10 x √ 40 in

20

400

Simplify √ 24 x √ 18 

12√ 3

500

AC=AB in a isosceles triangle. AB=√ 20 and CB=6. Find the area of ABC in surd form

3√ 11

Mixed

100

What is the reciprocal of 0.025?

40

200

What is (2/3)^-2

9/4

300

Work out √ 7 x √ 28

14

400

Simplify √ 30 x √ 210

30√ 7

500

Find the reciprocal of 8 x 10⁷  in standard form

1.25 x 10^-8