Work out without using a calculator. (6.4 ×10⁷) + (9.6 × 10⁶). Give your answer in standard form.

(a)  

Expand and simplify.

(3x-7)(2x+9)

(a)  

Safina has a barrel containing 6000 milliliters of oil, correct to the nearest 100ml.She uses the oil to fill bottles which each hold exactly 50ml.Calculate the upper bound for the number of bottles she can fill.

(a)  

1. Find the value of x t^x × t² = t¹⁰

(a)  

Simplify.

i) (4/x) ^-2

(a)  

Simplify

i) a³ b⁷ ÷ a⁶ b²

(a)  

Write 23000 in standard form

(a)  

Without using a calculator, work out 1/15 + 2/5 .Write down all the steps of your working and give your answer as a fraction in its simplest form.

(a)  

Write 56 as a product of its prime factors.

(a)  

Find the lowest common multiple (LCM) of 56 and 42

(a)  

An equilateral triangle has side length 12cm, correct to the nearest centimeters. Find the lower bound of the perimeter of the triangle.

(a)  

Water flows over the Browne Falls at a rate of 3680 litres per second. After rain, this rate increases to 9752 litres per second. Calculate the percentage increase in this rate.

(a)  

After rain, water flows over the Sutherland Falls at a rate of 74240 litres per second. This is an increase of 45% on the rate before the rain. Calculate the rate before the rain

(a)  

1Work out $1.45 as a percentage of $72.50

(a)  

Work out 7/11 of 198 kg

(a)  

Anna walks 31 km at a speed of 5km/h. Both values are correct to the nearest whole number. Work out the upper bound of the time taken for Anna’s walk

(a)  

Write 0.00813 in standard form.

(a)  

1. Write these numbers correct to 2 significant figures.

(a) 0.076499

(a)  

Write these numbers correct to 2 significant figures.

(b) 10 100

(a)  

1. Solve.

3w- 7= 32

(a)  

The area of a square is 42.5cm², correct to the nearest 0.5cm²

Calculate the lower bound of the length of the side of the square.

(a)  

Change the recurring decimal 0.18 where 8 is recurring to a fraction. You must show all your working

(a)  

A car travels at 108 km/h for 20 seconds. Calculate the distance the car travels. Give your answer in metres.

(a)  

The number of fish on a farm increases by 10% each month. If there were originally 350 fish, calculate to the nearest 100 how many fish there would be after 12 months

(a)  

In a geography textbook , 35 % of the pages are colored. If there are 98 colored pages, how many pages are there in the book?

(a)  

1. Evaluate using a calculator

((8 – 3) × 2 ) /5 + 7

(a)  

From a sample of 80 batteries, 3 are faulty. Work out the percentage of faulty batteries

(a)  

Write 1.27 × 10–3 as an ordinary number.

(a)  

Calculate (2.1 – 0.078)¹⁷, giving your answer correct to 4 significant figures.

(a)  

The sides of an equilateral triangle are 9.4cm, correct to the nearest millimetre. Work out the upper bound of the perimeter of this triangle.

(a)  

Simplify (16p¹⁶) ^¼

(a)  

Solve the inequality. n + 7 <5n – 8 ( ans. in decimal form)

(a)  

Without using a calculator, work out 6/7 divided by 1 2/3 . Show all your working and give your answer as a fraction in its lowest terms (leave answer as a fraction)

(a)  

(3.07 + 2⁴) / (5.03-1.79) (correct to 3 d.p)

(a)