Paper 1  Objectives  49 Questions
WASSCE/WAEC MAY/JUNE
Year: 2021
Level: SHS
Time:
Type: Question Paper
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#  Question  Ans 

1. 
Correct 0.007985 to three significant figures. A. 0.0109 B. 0.0800 C. 0.00799 D. 0.008
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Detailed Solution


2. 
Simplify: (11\(_{two}\))\(^2\) A. 1001\(_2\) B. 1101\(_2\) C. 101\(_2\) D. 10001\(_2\)
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Detailed Solution(11\(_{two}\))\(^2\) = (11\(_2\) \(\times\) (11\(_2\))= \({1 \times 2^1 + 1 \times 2^0} \times ({1 \times 2^1 + 1 \times 2^0})\) = \({1 \times 2 + 1 \times 1} \times ({1 \times 2 + 1 \times 1})\) = \({2 + 1} \times ({2 + 1})\) = 3 \(\times\) 3 = 9\(_{10}\) or 1001\(_2\) from 

3. 
Solve: 2\(^{√2x + 1}\) = 32 A. 13 B. 24 C. 12 D. 11
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Detailed Solution2\(^{√2x + 1}\) = 322\(^{√2x + 1}\) = 2\(^5\) √2x + 1 = 5 square both sides 2x + 1 = 5\(^2\) 2x + 1 = 25 2x = 25  1 2x = 24 x = \(\frac{24}{2}\) x = 12 

4. 
If log\(_{10}\) 2 = m and log\(_{10}\) 3 = n, find log\(_{10}\) 24 in terms of m and n. A. 3m + n B. m + 3n C. 4mn D. 3mn
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Detailed Solutionlog\(_{10}\) 24 = log\(_{10}\) 8 \(\times\) log\(_{10}\) 3where log\(_{10}\) 8 = 3 log\(_{10}\) 2 = 3 \(\times\) m and log\(_{10}\) 3 = n : log\(_{10}\) 24 = 3m + n 

5. 
Find the 5th term of the sequence 2,5,10,17....? A. 22 B. 24 C. 36 D. 26
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Detailed SolutionSimply add odd number starting from '3' to the next number2 2 + 3 = 5 5 + 5 = 10 10 + 7 = 17 17 + 9 = 26 The fifth term = 26 

6. 
If p = {3<x<1} and Q = {1<x<3}, where x is a real number, find P n Q. A. 0 B. 3, 2, 1, 0 and 1 C. 2, 1 and 0 D. 1, 0 and 1
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Detailed Solutionp = {3<x<1} = {2,1 and 0}Q = {1<x<3} = {0,1 and 2} P n Q = {0} or {1<x<1} 

7. 
Factorize 6pq3rs3ps+6qr A. 3(r p)(2q + s) B. 3(p + r)( 2q  2q  s) C. 3(2q  s)(p + r) D. 3(r  p)(s  2q)
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Detailed Solution6pq3rs3ps+6qr = 3 (2pq  rs  ps + 2qr)= 3 ({2pq + 2qr} {ps  rs}) = 3 (2q{ p + r} s{p + r}) = 3 ({2q  s}{p + r}) 

8. 
What number should be subtracted from the sum of 2 \(\frac{1}{6}\) and 2\(\frac{7}{12}\) to give 3\(\frac{1}{4}\)? A. \(\frac{1}{3}\) B. 1\(\frac{1}{2}\) C. 1\(\frac{1}{6}\) D. \(\frac{1}{2}\)
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Detailed SolutionThe sum of 2 \(\frac{1}{6}\) and 2\(\frac{7}{12}\)= \(\frac{13}{6}\) + \(\frac{31}{12}\) = \(\frac{13 \times 2 + 31}{12}\) = \(\frac{26 + 31}{12}\) = \(\frac{57}{12}\) What should be subtracted from \(\frac{57}{12}\) to give 3\(\frac{1}{4}\) \(\frac{57}{12}\)  y = 3\(\frac{1}{4}\) : y = \(\frac{57}{12}\)  3\(\frac{1}{4}\) = \(\frac{57}{12}\)  \(\frac{13}{4}\) y = \(\frac{57  3 \times 13}{12}\) = \(\frac{57  39}{12}\) y = \(\frac{18}{12}\) y = \(\frac{3}{2}\) or 1\(\frac{1}{2}\) 

9. 
Mensah is 5 years old and joyce is thrice as old as mensah. In how many years will joyce be twice as old as Mensah? A. 3 years B. 10 years C. 5 years D. 15 years
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Detailed SolutionMensah’s age is 5. Thus,Joyce’s age is 15 (5*3=15) The difference between their ages is 10 (15–5=10) As we ought to find how many years Joyce’s age will be twice of Mensah’s age, we should write down the following : 15+X=2*(5+X) 15+X=10+2X lets add (10X) to both sides of the equation and 15+X10X = 10+2X10X 5=X —> X=5 After 5 years Joyce’s age will be 20 (15+5=20) After 5 years Mensah’s age will be 10 (5+5=10) After 5 years Joyce will be twice as old as Mensah (10*2=20) 

10. 
If 16 * 2\(^{(x + 1)}\) = 4\(^x\) * 8\(^{(1  x)}\), find the value of x. A. 4 B. 4 C. 1 D. 1
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Detailed Solution16 * 2\(^{(x + 1)}\) = 4\(^x\) * 8\(^{(1  x)}\)= 2\(^4\) * 2\(^{(x + 1)}\) = 2\(^{2x}\) * 2\(^{3(1  x)}\) > 4 + x + 1 = 2x + 3  3x collect like terms > x  2x + 3x = 3  1  4 > 2x = 2 > x = 1 
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