KCPE 2011 Mathematics

What is 9301854 written in words?

What is the value of ?

What is 4.59954 written correct to three decimal places?

What is the L.C.M. of 30, 45 and 60?

What is the place value of digit 2 in the product of the total value of digit 4 multiplied by the total value of digit 3 in the number 57438?

Jebet bought the following items:

3 packets of maize flour at Sh 90 each 2 kg of beans for sh 170 I 4. kg of potatoes at sh 40 per kg 2 loaves of bread at Sh 34 each.

If she had sh 800, how much money was she left with?

What is the value of x in the equation ?

The area of a square is 3844 cm². What is the length of each side of the square?

Which is the correct order of writing the fraction? 2/5, 4/15, 1/6, 1/2, 2/3 starting from the smallest to the largest?

In the triangle PQR below, construct the bisector of angle PQR to cutline PR at M and the bisector of angle QPR to cut line QR at N. The two bisectors intersect at point X. Join RX.

What is the size of angle RXM?

How many fencing posts, spaced 5 m apart, are required to fence a rectangular plot measuring 745m by 230 m?

Awinja bought a pair of shoes for sh 810 after getting a discount of 10%. What was the marked price of the pair of shoes?

The table below shows the amount of milk delivered by a farmer to the dairy in 6 days.

What was the median sale of milk, in liters, for the 6 days?

Mutiso and Oluoch shared the profit of their business such that Mutiso got 3/5 of the profit. What was the ratio of Mutiso’s share to Oluoch’s share?

What is the value of ?

Mulwa had 5 one thousand shillings notes, 7 five hundred shillings notes, 10 two hundred shilling notes and 6 one hundred shillings notes. He then changed the money into fifty shillings notes. How many notes altogether did he get?

The figure below is a map of a village drawn to the scale 1:250 000

What is the perimeter of the village in kilometers?

A cylindrical container has a circumference of 176 cm and a height of 40 cm. What is the volume of the container in cm³? (Take ?= 22/7)

What is 1/2 (3x +4y) + 1/5 (2x+7 y)-1 1/4? x – 1/2y in simplified form?

The figure below is a sketch of a triangle XYZ in which angle ZXY = 50?, angle YZX = 70? and line ZX = 6 cm.

Which one of the statements below leads to the correct construction of the triangle?

Each of the diagonals of a rectangular flower garden is 65 m. If one side of the garden measures 25 m, what is the measurement of the other side?

A meeting was attended by 150 people. Out of these, 0.14 were men, 0.2 were Women and the rest were children. How many more children than women were there?

The triangle PQR shown below has been drawn accurately.

What is the size of angle QPR’?

Mwaruwa is paid sh3750 after working for 25 days. How much money would he be paid if he does not work for 4 days?

A family uses 5 deciliters of milk each day. How many liters of milk altogether ?would the family use in the months of June and July?

In the triangle ABC below, construct a perpendicular from A to meet line BC at N.

Which one of the following ‘statements is correct?

The graph below shows the journey made by a social worker on a certain day.

Between which two places was his speed the highest?

What is the value of ? where p=3, q-p=4 and r=p+q/2 ?

What is the surface area of a cylindrical rod of height 17 cm and diameter 14 cm? (Take pi = 22/7)

What is the value of? ?

Halima bought 50 bananas @sh3 each. She spent sh75 for transportation. During transportation 5 bananas got spoilt but she sold the rest making a 20% profit. For how much did she sell each banana?

Two sides of a parallelogram EFGH have been drawn below. Complete the parallelogram EFGH. Draw diagonals FG and FH to intersect at J.

What is the length of line FJ?

Mutuma left Mombasa on Tuesday at 6:30 pm and took 8 hours 45 minutes to reach his home. On what day and what time in a 24 hour system did he reach home?

The pie chart below represents the population of 1800 animals in a farm.

How many more chickens than goats are there in the farm?

A car travelled 216km at an average speed of 48 km/h. On the return journey the average speed increased to 72 km/h. Calculate the average speed, in km/h, for the whole journey?

Which one of the statements below is a Property of a right angled, triangle?

A mathematics text book has 97 sheets of paper and a cover. Each sheet of paper has a mass of 4 grams and the cover has a mass of 20 g. find the mass of the book in kilograms.

The diagram below is a trapezium MNPQ. Line MQ is parallel to line NP. The length of line MQ=8 cm and that of line NR=7 cm. The Perpendicular line MR=12cm.

If the area of the trapezium is 198 cm2, what is the length of RP?

Ali is now two years older than Martha. If Martha’s age is represented by x, what will be their total ages after 10 years?

A football match was attended by 42000 men. The number of women who attended was 27000 less than the number of men and 12000 more than the number of children. The entrance fee for adults was sh 100 and for children was sh 50. How much money was collected altogether?

In the figure below EFG is a straight line. Lines GH and FH are equal and lines HI and FI are also equal. Angle GHF is a right angle and angle HIF is 32?. What is the size of angle EFI?

The table below shows part of Tariff for Ordinary Money Order and Posta pay.

Karimi has two children in one school. To pay for their school fees he sent sh8 900 by Ordinary Money Order and sh15400 by Posta pay. How much money would he have saved had he bought one Ordinary Money Order to pay for all the fees?

Nina is paid a basic salary of sh 8000 as a sales agent. In addition she is paid a 5% commission for goods sold above sh 15000. In one month she earned sh 12000 altogether. What was the total sale?

What is the next number in the pattern ? 4,9,25 ,4 9 ,121 ,169,?

The marked price of a motorcycle was sh30 000 but a discount of 5% was allowed for cash payment. Taabu bought the motorcycle on hire purchase terms by paying a deposit of sh 8500 followed by ten equal monthly installments of sh2400 each. How much money would Taabu have saved had she bought it for cash?

Figure ABCDE below represents a vegetable garden in which AE = 12 m, AB = 36m and CD= 24 m. Angle DEA is a right angle. The distance from A to D is 15m. A perpendicular distance from C to AB is 10 m.

What is the area of the garden?

A tailor made 48 pieces of uniform. Half of the number of the uniforms was each made using 1 1/4 metres of material. A quarter of the remainder was each made using 1? 1/2 metres of material and the rest was each made using 1? 3/4 metres of material. The tailor also fixed a logo made using 1/16 metres of material on each uniform.

How many metres of material did the tailor use?

The table below shows the train fares for Nairobi-Mombasa route.

The following passengers travelled in the train:

23 pupils of age 12 years and above

12 pupils aged between 7 and 10 years

2 children below 3 years

3 parents

5 teachers

1 headteacher

The passengers occupied the following classes in the train:

1^st class: Head teacher, 1 parent

2^nd class: 5 teachers, 2 parents and all pupils and children

How much money did they pay for the journey to Mombasa?

A man deposited sh 50,000 in a bank for 2 years. The bank paid compound interest at the rate of 10% per annum. How much money was in his account at the end of the two years?

The figures below represent a pattern.

Which one of the following is the next shape in the pattern above?