1. Use the symbols <,>, or = to compare the following integers.

a) -2 and -3 (1mk)

b) -3 and 4 (1mk)

c) 5 and -5 (1mk)

2. Express the following numbers as products of prime factors. Express your answer in powers form

(a) 1573 (1mk)

(b) 1078 (1mk)

3. Find the G.C.D of the following numbers 240, 360, 600, 700 (2mks)

4. A number K is such that when it is divided by 27, 30 or 45, the remainder is 3. Find the smallest possible value of K (2mks)

5. Perform the operation below using a number line (2mks)

-7-(-8)

6. If x=-2,y=-6, and z=4. Find the value of the following (2mks)

(a)4z+2y-x

(b)

(c) 2y-3x+z (2mks)

7. Evaluate: 96 ÷ 6+7×15-14×5 (2mks)

8. Arrange the following in descending order (2mks)

9. Evaluate (2mks)

10. Work out ;

(2mks)

(b)

(3mks)

11. Express each of the following as a fraction

^{ }(3mks)

12. Work out correct to 2 decimal places (3mks)

13. Write each the following numbers to the nearest value indicated in the brackets

(a) 509.78(1dp) (1mk)

(b) 0.0289(Hundredths) (1mk)

14. Find the sum of a third of (a+b) and a fifth of (a-b) (3mks)

15. Without using calculator, evaluate the answer as a fraction in its simplest form (3mks)

16. Which of the following number is divisible by both 3 and 4? (3mks)

120, 744, 306, 9564, 1504, 192, 86 and 36.

__SECTION II (50MKS)__

17. A farmer has four containers of capacity 240 liters, 360 liters, 600 litres and 700 liters. Find the capacity of;

(a)The smallest container that can be filled by each one of them an exact number of time (4mks)

(b)The largest container that can be used to fill each one of them an exact number of times

(3mks)

(c)A tank K is such that when it is filled by any of the container above, there is always a

deficit of 17 liters for the tank to be full. Find the smallest possible capacity of the tank (2mks)

(d) Write the number above in (c) in words (1mk)

18. A soda depot had 30 816 sodas which were packed in crates. Each crate contained 24 sodas. The mass of an empty crate was 2kg and that of a full crate 12kg

(a) How many crates were there? (2mks)

(b)What was the total mass of empty crates (2mks)

(c)What was the total mass of sodas alone (3mks)

(d) A lorry was hired to transport the crates at a cost of sh. 5 per crate of soda per trip. The

lorry could only carry 107 crates per trip. How much money was spent on transporting

all the crates? (3mks)

19. James spent ^{1}/_{4} of his net January salary on school fees. He spent ^{1}/_{4} of the remainder

on electricity and water bills. He spent ^{1}/_{9} of what remained on transport. If he finally had sh.3,400, calculate

a) His net January salary. (5mks)

b) Money spent on school fees. (1mk)

c) Money spent on transport. (2mks)

d) Money spent on electricity and water bills. (2mks)

20. Use the four figure tables to find the squares of;

(a) 1.28 (2mks)

(b) 223.4 (2mks)

(c) Find the square root of 1225 using factorization method (3mks)

(d) Find the square root of 0.0168 from square root tables (3mks)

21. (a) Find the sizes of the given angles marked with letters (3mks)

(b) Write the following numbers in standard form (5mks)

a. 62 =

b. 4269 =

c. 0.354 =

d. 0.0000999 =

e. 5 =

(c) Write forty-eight thousandths in figures (2mks)