FIRST TERM EXAM S1 MATHS PAPER 1. 2024 UPDATE WITH 100% VERIFIED SOLUTIONS. A+ GRADED

Section A(1) (46 marks) 1. (a) Find the L.C.M. of 20, 24 and 36. (b) Find the H.C.F. 50, 80 and 240. (4 marks) Solution: (a) By short division, 20 12 18 10 5 2 2 3 5 2 3 1M ∴ L.C.M. = 2  2  3  5  2  3 =360 1A (b) By short division, 50 40 120 25 2 5 5 8 24 1M ∴ H.C.F. = 2  5 =10 1A 2. Assume that +8000 dollars represents a profit of $8000 of the company. (a) Use a directed number to represent each of the following situations. (i) A profit of $40 000 (ii) A loss of $15 000 (b) What is the meaning of the directed number −8500 dollars? (3 marks) Solution: (a) (i) +40 000 dollars 1A (ii) −15 000 dollars 1A (b) A loss of $8500 1A 3. Arrange the following numbers in descending order using the symbol ‘’. (1 mark) +6, −3.8, + , −4.7, +1 Solution +6  +1  +  −3.8  −4.7 1A 4. Find the directed numbers represented by the letters A, B and C on the number line below. (3 marks) A= _____________ B=_________________ C=__________________ Answer: A: −1, B: −5, C: +2 1A+1A+1A 5. Write down the arithmetic expression of each of the following. (a) The product of 11 and d (b) First divide 10 by y, and then add 3 to the quotient. (c) Subtract the difference of a and 7 from the sum of b and c. (3 marks) Solution: 10 (a) 11d 1A (b) 3 (10+ y) or 3+ 1A (c) (b c+ − −) (a 7) 1A y 6. Express 2 2 2       a a a b 2 b in index notation (1 mark) Solution: 24 3 2ab 1A a 15b 5 7. Simplify   . (2 marks) 8 c 2c Solution: a 15b 5   8. c 2c a 15 2b c =   1M 8 c 5 3ab = 1A 4