Mathematics Paper 2A

Two types of flour, X and Y, cost Ksh 60 and Ksh 72 per kilogram respectively.

The two types are mixed such that the cost of a kilogram of the mixture is Ksh 70. Calculate the ratio X:Y of the mixture.

• 1:5

• 2:3

• 5:1

• 1:3

A quantity P varies inversely as the square of another quantity L.

When P = 0.625, L = 4. Determine P when L = 0.2.

• 10

• 25

• 150

• 250

Solve the equations:

x + 3y = 13

x² + 3y² = 43

• y = 4, x = 3

• y = 3, x = 4

• y = 3, x = 2.5

• y = 3.5, x = 4

A bag contains 6 red counters and 4 blue counters.

Two counters are picked from the bag at random, without replacement. Find the probability that the two counters picked are of the same colour.

Solve for x in log(7x - 3) + 2 log 5 = 2 + log(x + 3)

• 15

• 6

• 5

• 12

• 4 hours 10 minutes

• 1 hour 3 minutes

• 4 hours 20 minutes

• 2 hours 30 minutes

The expression ax² - 30x + 9 is a perfect square, where a is a constant. Find the value of a.

• 20

• 25

• 6

• 18