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SECTION B THEORY PARTS ANSWER FOUR QUESTIONS ONLY 1(a) Add in base two 101011 and 111011 (5 marks) 1(b)...

SECTION B THEORY PARTS
ANSWER FOUR QUESTIONS ONLY
1(a) Add in base two 101011 and 111011 (5 marks)
1(b) Convert 23 in base ten to a number in base two (5 marks)
2(a) Express the following numbers to 2 decimal places (i) 34.875 (ii) 0.003812 (iii) 2.7513 (iv) 6.8213 (v) 0.4582 (5 marks)
2(b) Simplify (+5); -3(6) (5 marks)
3(a) Simplify the following (i) 3y + 8m - 6k + 8y - 3m + 7k (ii) 3j + 4s + 4j + 2s (6 marks)
3(b) Simplify 2(5/6 + 6/5) (4 marks)
4(a) Find the L.C.M of 8, 12, and 20 (5 marks)
4(b) Change the following mixed fraction to improper fraction (a) 2 3/5 (b) 7 1/8 (c) 4 3/4 (4 marks)
5(a) Simplify the following by removing bracket (a) 7(4r + 3a - 4) (b) -3(6y - 7u - 6p) (6 marks)
5(a) Write out the place value of 5 in the following numbers (i) 4567 (ii) 3056 (iii) 1235 (iv) 54 (4 marks)

Answer

  1. Add in base two 101011 and 111011: The sum is 1101110.

  2. Convert 23 in base ten to a number in base two: 23 in base ten is 10111 in base two.

  3. Express the following numbers to 2 decimal places:
    (i) 34.88
    (ii) 0.00
    (iii) 2.75
    (iv) 6.82
    (v) 0.46

  4. Simplify (+5); -3(6): The expression simplifies to -13.

  5. Simplify the following:
    (i) 3y + 8m - 6k + 8y - 3m + 7k = 11y + 5m + k
    (ii) 3j + 4s + 4j + 2s = 7j + 6s

  6. Simplify 2(5/6 + 6/5): The expression simplifies to 4 7/15.

  7. Find the L.C.M of 8, 12, and 20: The L.C.M is 120.

  8. Change the following mixed fraction to improper fraction:
    (a) 2 3/5 = 13/5
    (b) 7 1/8 = 57/8
    (c) 4 3/4 = 19/4

  9. Simplify the following by removing bracket:
    (a) 7(4r + 3a - 4) = 28r + 21a - 28
    (b) -3(6y - 7u - 6p) = -18y + 21u + 18p

  10. Write out the place value of 5 in the following numbers:
    (i) 4567: 500
    (ii) 3056: 50
    (iii) 1235: 5
    (iv) 54: 50

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