Kenya K.C.S.E Mathematics Exam

Solve for x: 3x + 5 = 2x - 7

• x = 10

• x = 0

• x = -12

• x = -5

A triangle has sides of length 5cm, 12cm, and 13cm. Determine if it is a right-angled triangle.

• No, it is not a right-angled triangle because 5cm, 12cm, and 13cm are not valid side lengths for a triangle

• No, it is not a right-angled triangle because 5 + 12 does not equal 13

• No, it is not a right-angled triangle because 5^2 + 12^2 does not equal 13^2

• Yes, it is a right-angled triangle because 5^2 + 12^2 = 13^2

In a right-angled triangle, if the length of the hypotenuse is 10cm and one of the angles is 30 degrees, find the length of the other two sides.

• The length of the side opposite the 30-degree angle is 5cm, and the length of the side opposite the 60-degree angle is 5√3 cm.

• The length of the side opposite the 30-degree angle is 10cm

• The length of the side adjacent to the 30-degree angle is 5cm

• The length of the side opposite the 60-degree angle is 10cm

A bag contains 4 red, 3 blue, and 5 green balls. If a ball is chosen at random, what is the probability of getting a blue ball?

• 3/12

• 2/12

• 1/4

• 5/12

The mean score of a class of 20 students is 75. If the mean score of the first 10 students is 70 and the mean score of the last 10 students is 80, find the score of the 11th student.

• The score of the 11th student is 75

• The score of the 11th student is 85

• The score of the 11th student is 1500

• The score of the 11th student is 1600.

Find the derivative of f(x) = 3x^2 + 5x - 2

• f'(x) = 6x - 5

• The derivative of f(x) = 3x^2 + 5x - 2 is f'(x) = 6x + 5

• f'(x) = 3x^2 + 5x - 2

• f'(x) = 3x^2 + 5

A train travels at a speed of 60 km/h. How far will it travel in 2.5 hours?

• 300 km

• 100 km

• 25 km

• 150 km

If the perimeter of a rectangle is 30cm and its length is 3 times its width, find the dimensions of the rectangle.

• Width: 5cm, Length: 15cm

• Width: 8cm, Length: 7cm

• Width: 10cm, Length: 5cm

• Width: 6cm, Length: 9cm

A ladder 15 meters long is leaning against a wall. If the base of the ladder is 9 meters away from the wall, find the height at which the ladder touches the wall.

• 10 meters

• 6 meters

• 14 meters

• 12 meters

A shopkeeper sells a shirt for $45, making a profit of 20%. What is the cost price of the shirt?

• $40

• $35

• $50

• $37.50