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1. Add one thousand and fourty four to the product of one thousand and six and one hundred and eighty. (3 marks)
2. The GCD of two numbers is 17 and their LCM is 140. If one of the numbers is 20, find the other number. (3 marks)
3. Find the L.C.M of X2 + X, X2 – 1, X2 – X. (3 marks)
4. Evaluate -8÷2+12×9-4×6 (3 marks)
56÷7×2
5. Evaluate 3/8 of {73/5‾1/3(11/4+31/3) ×22/5} (3 marks)
6. Evaluate without using calculators or mathematical tables, leaving your answer as a simple fraction. (4 marks)
-4(-2) + (-12) ÷ (+3) + -20+ (+4) + (-6)
-9-(15) 46-(8+2)-3
7. A number m is such that when it is divided by 30, 36, and 45 the remainder is always 7, find the smallest possible value of m. (3 marks)
8. Which of the following number is divisible by both 3 and 4? (3 marks)
120, 744, 306, 9564, 1504, 192, 86 and 36.
9. What must be added to the number below to make it divisible by 11, (3 marks)
826049
10. If x = -2, y= -6 and z= 4, find the value of 4xy (3 marks)
11. Show the following operation on a number line (2 marks)
(-7) + (-2) + (+6)
Hence, evaluate the value of, (-7) + (-2) + (+6) (1 mark)
SECTION B
17. Kinyua 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. (5 marks)
b) Money spent on school fees. (1 mark)
c) Money spent on transport. (2 marks)
d) Money spent on electricity and water bills.
18. A minibus had 23 passengers at the beginning of a journey. Twelve passengers alighted at the first stop while 9 boarded six of those who boarded at the first stop alighted at the second stop and 12 got in. The minibus should not stop again up to the final destination. The charges from the starting point were sh. 50 up to the first stop, sh. 70 up to the second stop and sh. 85 up to the final destination.
a) How many passengers alighted at the final destination? (3 marks)
b) How many passengers were ferried by the minibus through the journey? (3 marks)
c) How much money was collected during the trip? (4 marks)