Answer the following
1. Find the lowest common multiple (LCM) of 20 and 24.
2. Write 0.00658 (a) in standard form, (b) correct to 2 significant figures.
3. Round 39.748 to the nearest:
a whole number b one decimal place c two decimal places
4. Round:
a 5.371 to 2 significant figures
b 0:0086 to 1 significant figure
c 423 to 1 significant figure
6. The length of a rectangle is 9.3cm, correct to 1 decimal place. Its width is 7.7 cm, correct to 1 decimal place. Write down the lower bound and the upper bound for the area of the rectangle.
7. S = D/T
In an experiment D and T are both measured correct to 2 significant figures.
When D =7.6 and T = 0.23, find the upper bound for S
8. A circle has a radius of 8.5cm correct to the nearest 0.1cm. The lower bound for the area of the circle is pπcm^2. The upper bound for the area of the circle is qπcm^2.
8. A circle has a radius of 8.5cm correct to the nearest 0.1cm. The lower bound for the area of the circle is pπcm^2. The upper bound for the area of the circle is qπcm^2.
Find the value of p and the value of q.
9. A map is drawn to a scale of 1 : 1000 000. A forest on the map has an area of 4.6cm^2. Calculate the actual area of the forest in square kilometres.
9. A map is drawn to a scale of 1 : 1000 000. A forest on the map has an area of 4.6cm^2. Calculate the actual area of the forest in square kilometres.
10. The map alongside has a scale of 1 : 500 000, which means that 1 cm on the map represents 500 000 cm in real life.
a If the distance BC = 2:1 cm on the map, find the actual distance between B and C.
b If E and C are 13:5 km apart, find the length of EC on the map.
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