Chapter 1
What is 105.3653 rounded to 2 decimal places?
105.37
What is 5/7 as a decimal to 2 significant figures?
0.71
A jogger covers 3 km in 30 minutes. What is their speed in km h-1?
6 km h-1
Simplify 113 x 117. Give your answer as a power.
1110
What is 302 rounded to 1 significant figure?
300
If a car costs £22 500 excluding VAT how much VAT needs to be paid (assuming 20% VAT rate)?
£4500.
A car is travelling at an average speed of 90 km h-1 . How long does it take to travel 50 km to the nearest minute?
33 minutes.
Simplify (94 x 95)/96
93
Calculate (3+23)-(5-4/2)2
2
If a TV is reduced by 30% in a sale and its original price was £900 what is its reduced price?
£630
A plane of mass 37 tonne accelerates on a runway at 3.35 m s-2. What force is given to the plane by the engines in kN to 3 s.f.?
124 kN
What is (3.45 x 10-4 ) x (7.83 x 106)? Give your answer in scientific notation.
2.70135 x 103
What is (-4)+2-(-6)?
4
A concrete column 5m high compresses by 7 mm under the weight of the floor above it is supporting. What is the percentage compressive strain in the column?
0.14
If an electric car can accelerate from 0 to 60 mph in 6 seconds what is its acceleration in m s-2 to 2 s.f.?
Take 1 mile = 1609 m.
4.5 m s-2
What is [(5.3 x 105) x (3.1 x 10-3)]/(8.9 x 106)?
Give your answer to 3 s.f. in engineering notation.
185 x 10-6
What is 56406 mg in g rounded to 2 decimal places?
56.41 g
Divide 3 6/7 by 2 2/5 and give your answer as an improper fraction in its simplest form.
45/28
If x=1.4 what is [5(3-7x)]/2x ?
Give your answer to 2 decimal places.
-12.14
A gold bar has the following dimensions: length 220 mm, width 75 mm and depth 40 mm. If the density of gold is 19320 kg m-3 what is the mass of the bar in g? Give your answer to 3 s.f. using engineering notation.
12.8 x 103 g