**INSTRUCTIONS TO CANDIDATE**

1.This paper has TWO sections A and B.

2.Attempt questions in each section as per instructions given in the section.

3.You are provided with a separate answer booklet.

4.Answer all questions in the answer booklet.

5.Marks for each question are indicated in the brackets.

6.Do not write on the question paper.

**This paper consists of FIVE (5) printed pages.**

**Candidates should check the question paper to ascertain that All pages are printed as indicated and that no questions are missing.**

**SECTION A (10 MARKS)**

**Answer ALL the questions in this section. Each question carries ONE mark**

**1. Which of the following operation of numbers is correct?**

A. 27 − 7 − 3 = 27 − (7 − 3)

B. 27 − 7 × 3 = (27 − 7) × 3

C. 27 − 7 ÷ 3 = (27 − 7) ÷ 3

D. 27 ÷ 7 − 3 = (27 ÷ 7) − 3

**2. Find the longitude difference between the two towns, Komo (300𝑁, 600𝐸) and Boma (300𝑆, 400𝐸).**

A. 700

B. 600

C. 1000

D. 200

**3. A fraction whose numerator is greater than denominator is called.**

A. Proper fraction

B. Improper fraction

C. Mixed fraction

D. Common fraction

**4. Find the perimeter of an isosceles triangle with equal sides 4.7𝑐𝑚 and base 6.3𝑐𝑚**

A. 9.4𝑐𝑚

B. 11𝑐𝑚

C. 15.7𝑐𝑚

D. 17.3𝑐𝑚

**5. Determine the volume of a rectangular box measuring 1𝑚 by 1.5𝑚 by 0.8𝑚.**

A. 1.2𝑚2

B. 1.2𝑚3

C. 1.5𝑚2

D. 1.5𝑚3

**6. Convert 25𝑘𝑔 of meat into grams.**

A. 0.25𝑔

B. 250𝑔

C. 2500𝑔

D. 25000𝑔

**7. A bus left Lodwar at 9.30 𝐴. 𝑀. and arrived at Nairobi at 10.25 𝑃. 𝑀. Find the time taken for the whole journey.**

A. 12 ℎ𝑟𝑠. 55𝑚𝑖𝑛.

B. 10 ℎ𝑟𝑠. 25𝑚𝑖𝑛.

C. 19 ℎ𝑟𝑠. 55𝑚𝑖𝑛.

D. 9 ℎ𝑟𝑠. 30𝑚𝑖𝑛.

**8. Find the size of the smallest angle of a triangle whose angles are 2𝑥, (𝑥 + 10), (3𝑥 − 50).**

A. 200

B. 300

C. 400

D. 100

**9. The following are various ways of presenting data except.**

A. Pie-chart

B. Bar graph

C. Rank order

D. Pictogram

**10. The interior angle of a regular polygon is six and a half times the exterior angle. Find the number of sides of the polygon.**

A. 20

B. 24

C. 15

D. 12

**SECTION B (40 MARKS)**

**Answer ALL the questions in this section**

14. For seven consecutive days, the meteorological department recorded the following amount of rainfall in 𝑐𝑚: 0.5, 2.2, 0.9, 0.4, 1.6, 0.8 and 1.5. Find the mean amount of the rainfall for the week to the nearest 𝑚𝑚. (3 Marks)

15. Construct a parallelogram of sides 6cm and 4cm with the angle between them being 480. Measure its longer diagonal. (4 Marks)

16. A rectangular block is 50𝑐𝑚 long and 15𝑐𝑚 wide. Determine its height if its volume is 7.5 litres. (4 Marks)

17. A piece of wire is in form of an arc of a circle, radius 10.5𝑚. Find the length of the wire given that the angle at the centre of the arc is 1500. Take 𝜋 =22/7 (4 Marks)

18. Mr. Wangila saved 𝑆ℎ𝑠. 5 coins and 𝑆ℎ𝑠. 10 coins in a can. There are 14 coins in total and their value is 𝑆ℎ𝑠. 105. Find the number of each type of coin. (4 Marks)

19. Table 2 below shows the height of athletes in a college team.

20. Find the surface area of an open cylindrical tin of radius 6.3𝑐𝑚 and height 22𝑐𝑚. (4 Marks)