Mathematics — 1997

Convert 320 five to a base ten numeral.

P = {2, 4, 6, 8} and Q = {even counting numbers less than 12}.

In the diagram below, P is the set of numbers in the circle and Q is the set of numbers in the triangle.

The product 6287 x 543 = 3,413,841.

Express 30 cm as a percentage of 2 m.

What solid can be made from this net?

Simplify 3(6 b – 9 a ) + 7(6 a – 5 b )

Arrange the following fractions in descending order 9 16 , 5 8 , 0.62

18 = 2 x 3 2 ; 42 = 2 x 3 x 7; 90 = 2 x 3 2 x 5

18 = 2 x 3 2 ; 42 = 2 x 3 x 7; 90 = 2 x 3 2 x 5

Simplify ( 4 5 ) + ( -2 2 ) + ( 1 6 )

If R = 1 2 ( a + b ) k , find k in terms of R , a and b .

In the following figure below, triangle M ′ ON ′ is an enlargement of triangle MON , with centre O .

In the following figure below, triangle M ′ ON ′ is an enlargement of triangle MON , with centre O .

Find the image of the point (6, 3) when translated by the vector ( -4 -1 ) .

A student spends 17 35 of his pocket money on transport and fruits. He spends 5 6 of the remainder on sweets. What fraction of his pocket money does he spend on sweets?

If p = 7, q = 5 and r = 3, find the value of p 2 + q – r 3 .

Simplify 35 x 5 y 3 ÷ 7 xy 2

The sum of two numbers is 240. If one of them is y , find the other number.

Make n the subject of the relation 2 n + 5 = 7 a

The marks obtained by 10 boys in a test are 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.

The marks obtained by 10 boys in a test are 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.

The marks obtained by 10 boys in a test are 0, 1, 3, 3, 5, 7, 8, 9, 9, 9.

Express 57 ten as a base two (binary) numeral.

The scale of a map is 1 : 100,000. What is the distance (in km) between two towns 4 cm apart on the map?

If 22% of a rope is 55 m long, find the full length of the rope.

Adwoa and Ama share an amount of ₵6,000.00 in the ratio 3 : 2. Find Adwoa's share.

Find the truth set of 5 x – 8 ≤ 2 x + 4.

The diameter of a circular tray is 28 cm. Find the area of the tray.

If a = ( 3 3 ) and b = ( 5 -5 ) , find a + b .

What is the rule for the mapping above?

If 50 oranges cost ₵2,500.00 how many oranges can be bought for ₵15,000.00?

A farmer has 1853 pineapple suckers. He plants 17 pineapples in a row. How many rows can he plant?

If a × b × c = 1197 and a = 21, b = 3, find c .