​In the triangle EFG shown below, construct a circle that touches the sides of the triangle.

What is the radius of the circle, in centimetres?

Senteu left home at 6.00 a.m. for school which is 8 km away. He cycled at a speed of 6 km/h. After cycling for 4km the bicycle had a puncture which took him 15 minutes to repair. He continued cycling at the same speed. At what time did he arrive at school?

Ngoko deposited sh 120000 in a bank that gave compound interest at the rate of 6% per annum. What was the amount in the bank after 2 years?

​Mundia bought 90 bananas for sh 450.After selling all the bananas he made a profit of 60%. What was the selling price per banana?

On a certain day a miller prepared 63 kilograms of uji flour and 286 kilograms of ugali flour. The miller charged sh 7 per kilogram of uji flour and sh 4 per kilogram of ugali flour. The mill consumed 7 litres of fuel costing sh 108 per litre. The miller also paid sh 250 as wages and sh 300 as loan repayment.
What was the miller’s profit that day’?

The graph below shows journeys of Musa and Serah. Musa travelled from P to Q while Serah travelled from Q to P.

What was the difference in their average speeds?

Ndemo bought 2r oranges while Maua bought 4s oranges. Haifa bought 2 oranges more than a half the total number of oranges bought by both Ndemo and Maua. How many oranges did they buy altogether?

A plot of land is in the shape of a rhombus of side 200m. The length of one of the diagonals is 240m. What is the area of the plot in hectares?

The diagram below represents a solid cube of side 6cm from which a cylinder of diameter 2.8 cm has been removed.

​What is the volume of the remaining solid in cm3? (Take π =22/7)

The prices of items sold in a shop were as follows:
1 kg sugar @ sh 120
1kgricesh 160
1 kg cooking fat @ sh 144
1 loaf of bread @ sh 45
Subira bought 2kg of sugar, 1 kg of rice,
1/2 kg of cooking fat and 3 loaves of bread.
She gave the shopkeeper a sh 1 000 note. What balance did she get?

The figure below is made up of squares.

How many squares are there altogether

Six men can complete digging a shamba in 8 days. How many days will it take four men, working at the same rate, to complete digging the shamba?

The table below shows the postal charges, shillings, on small packets in a certain year.

Abbas from Mombasa sent the following packet
A 900g packet to Uganda
A 5 kg packet to Ghana
A 25] g packet to China
How much money did he pay altogether?

In a certain country, the population of goats is 51907. The number of female goats is 453 more than that of male goats. The number of male goats is 18549 and the rest are kids. What is the number of kids?

​In the figure below PQ is parallel to RS. UT and VW are straight lines.

What is the size of the angle marked x°?

A piece of land in the shape of a trapezium is drawn on a map using the scale 1:500. The parallel sides are 5 cm and 2 cm, while the perpendicular distance between parallel sides is 4cm. What is the actual area of the plot in m2?

An aeroplane reached its destination on a Wednesday at 0115h. The flight had taken 4 1/2 hours. On what day and at what time in a.m./p.m. system did the plane start its flight?

​In the triangle EFG shown below, construct a circle that touches the sides of the triangle.

What is the radius of the circle, in centimetres?

​How many blocks are used to make the stack drawn below?

Which one of the following sets of measurements will form a right angled triangle when constructed?

A mother shared part of her money to three children Senda, Mua and Kilo. Mua received  1/3  while Kilo received 1/5 of the money. Senda received  1/2 of the remainder. What fraction of the money was shared out?

Akello and Muhu shared some oranges in the ratio 4:5 respectively. Muhu received 3 more oranges than Akello. How many oranges did Akello  get?

​QUICK ANSWER

• The correct answer is B.

COMPREHENSIVE ANSWER

What is the difference in value between the largest and the smallest 6-digit number formed using the digits 3, 0, 4, 5, 2, 9?

​QUICK ANSWER

• The correct answer is D.

COMPREHENSIVE ANSWER

The table below shows the number of patients who attended a clinic on certain days of the week. The number of male patients on Friday and that of children on Wednesday are not recorded.

​A total of 623 patients attended the clinic that week. The number of patients who attended the clinic on Wednesday was 226. How many more children than male patients attended the clinic that week?

What is the value of n in the inequality 14n + 9<41 — 6n?

​QUICK ANSWER

• ​​The correct answer is D.

COMPREHENSIVE ANSWER