Mathematics (Core), 2009, WASSCE/WAEC MAY/JUNE, Exam, Paper 1 | Objectives

Paper Info

Year :

2009

Title :

Mathematics (Core)

Exam :

WASSCE/WAEC MAY/JUNE

Paper 1 | Objectives

1 - 10 of 46 Questions

#	Question	Ans
1.	Simplify: (3\(\frac{1}{2} + 4\frac{1}{3}) \div (\frac{5}{6} - \frac{2}{3}\)) A. 1\(\frac{1}{4}\) B. 8\(\frac{1}{2}\) C. 35 D. 47 Show Content Detailed Solution (3\(\frac{1}{2} + 4\frac{1}{3}) \div (\frac{5}{6} - \frac{2}{3}\)) = (7\(\frac{3 + 2}{6}) \div \frac{(5 - 4)}{6}\) 7\(\frac{5}{6} \div \frac{1}{6} = \frac{47}{6} \times \frac{6}{1}\) = 47	D
2.	In a particular year, the exchange rate of naira (N) varies directly with the Dollars{$}. If N1122 is equivalent to $8, find the Naira equivalent of $36 A. N8976 B. N5049 C. N140.25 D. N31.17 Show Content Detailed Solution N1122 = $8; x = $36 x x $8 = N1122 x $36 \(\frac{N1122 \times $36}{$8}\) = x x = N5049	B
3.	If log 2 = x, log 3 = y and log 7 = z, find, in terms of x, y and z, the value of log (\(\frac{28}{3}\)) A. 2x + y - z B. 2x + x - y C. x + y - 2x D. x + x - y Show Content Detailed Solution log (\(\frac{28}{3}) = \log (\frac{7 \times 4}{3})\) = log 7 + log 4 - log 3 log 7 + log 2² - log 3 = log 7 + 2 - log 3 = x + 2x - y = 2x + x - y	B
4.	Arrange the following numbers in descending orders of magnitude: 22_three, 34_five, 21_six A. 21_six, 22_three, 34_five, B. 21_six, 34_five, 22_three C. 22_three, 34_five, 21_six D. 34_five, 21_six, 22_three Show Content Detailed Solution 22_three, 34_five, 21_six = (2 x 3)(2 x 3^o), (3 x 5¹) = (4 x 5⁰), (2 x 6¹) + (1 x 6⁰) = (6 + 2), (15 + 4), (12 + 1) = 8_ten, 29_ten, 13_ten in descending order 29_ten, 13_ten, 8_ten = 34_five, 21_six, 22_three	D
5.	Find the value to which N3000.00 will amount in 5 years at 6% per annum simple interest A. N3,900.00 B. N3,750.00 C. N3,600.00 D. N3,300 Show Content Detailed Solution A = P + I p + \(\frac{PRT}{100}\) A = N3000 (1 + \(\frac{6 \times 5}{100}\)) = N3000(1 + 0.3) A = N3000 (1.3) = N3,900.00	A
6.	Express the square root of 0.000144 in the standard form A. 1.2 x 10^-4 B. 1.2 x 10^-3 C. 1.2 x 10^-2 D. 1.2 x 10^-1 Show Content Detailed Solution \(\sqrt{0.000144}\) = 0.012 = 1.2 x 10^-2	C
7.	Two sets are disjoint if A. they are both empty B. their union is an empty set C. their intersection is an empty set D. one of them is a subset of the other	C
8.	If \(\frac{3}{2x} - \frac{2}{3x} = 4\), solve for x A. \(\frac{4}{5}\) B. \(\frac{4}{13}\) C. \(\frac{5}{24}\) D. \(\frac{13}{24}\) Show Content Detailed Solution \(\frac{3}{2x} - \frac{2}{3x} = 4\) \(\frac{9 - 4}{6x}\); \(\frac{5}{6x}\) = 4 5 = 24x ; x = \(\frac{5}{24}\)	C
9.	If (2x + 3)³ = 125, find the value of x A. 1 B. 2 C. 3 D. 4 Show Content Detailed Solution (2x + 3 )² = 125 2n + 3 = 3\(\sqrt{125}\) 2x + 3 = 5 2x = 5 - 3 x = \(\frac{2}{2}\) = 1	A
10.	Factorize x² - 2x - 3xy completely A. (x - 2)(3x - y) B. (x - 3y)(x - 2) C. (x - 3y)(x - 3y) D. (3x + y)(x - 2) Show Content Detailed Solution x² - 2x - 3xy + 6y = x(x - 2) -3y(x - 2) = (x - 3y)(x - 2)	B

1.	Simplify: (3\(\frac{1}{2} + 4\frac{1}{3}) \div (\frac{5}{6} - \frac{2}{3}\)) A. 1\(\frac{1}{4}\) B. 8\(\frac{1}{2}\) C. 35 D. 47 Show Content Detailed Solution (3\(\frac{1}{2} + 4\frac{1}{3}) \div (\frac{5}{6} - \frac{2}{3}\)) = (7\(\frac{3 + 2}{6}) \div \frac{(5 - 4)}{6}\) 7\(\frac{5}{6} \div \frac{1}{6} = \frac{47}{6} \times \frac{6}{1}\) = 47	D
2.	In a particular year, the exchange rate of naira (N) varies directly with the Dollars{$}. If N1122 is equivalent to $8, find the Naira equivalent of $36 A. N8976 B. N5049 C. N140.25 D. N31.17 Show Content Detailed Solution N1122 = $8; x = $36 x x $8 = N1122 x $36 \(\frac{N1122 \times $36}{$8}\) = x x = N5049	B
3.	If log 2 = x, log 3 = y and log 7 = z, find, in terms of x, y and z, the value of log (\(\frac{28}{3}\)) A. 2x + y - z B. 2x + x - y C. x + y - 2x D. x + x - y Show Content Detailed Solution log (\(\frac{28}{3}) = \log (\frac{7 \times 4}{3})\) = log 7 + log 4 - log 3 log 7 + log 2² - log 3 = log 7 + 2 - log 3 = x + 2x - y = 2x + x - y	B
4.	Arrange the following numbers in descending orders of magnitude: 22_three, 34_five, 21_six A. 21_six, 22_three, 34_five, B. 21_six, 34_five, 22_three C. 22_three, 34_five, 21_six D. 34_five, 21_six, 22_three Show Content Detailed Solution 22_three, 34_five, 21_six = (2 x 3)(2 x 3^o), (3 x 5¹) = (4 x 5⁰), (2 x 6¹) + (1 x 6⁰) = (6 + 2), (15 + 4), (12 + 1) = 8_ten, 29_ten, 13_ten in descending order 29_ten, 13_ten, 8_ten = 34_five, 21_six, 22_three	D
5.	Find the value to which N3000.00 will amount in 5 years at 6% per annum simple interest A. N3,900.00 B. N3,750.00 C. N3,600.00 D. N3,300 Show Content Detailed Solution A = P + I p + \(\frac{PRT}{100}\) A = N3000 (1 + \(\frac{6 \times 5}{100}\)) = N3000(1 + 0.3) A = N3000 (1.3) = N3,900.00	A

6.	Express the square root of 0.000144 in the standard form A. 1.2 x 10^-4 B. 1.2 x 10^-3 C. 1.2 x 10^-2 D. 1.2 x 10^-1 Show Content Detailed Solution \(\sqrt{0.000144}\) = 0.012 = 1.2 x 10^-2	C
7.	Two sets are disjoint if A. they are both empty B. their union is an empty set C. their intersection is an empty set D. one of them is a subset of the other	C
8.	If \(\frac{3}{2x} - \frac{2}{3x} = 4\), solve for x A. \(\frac{4}{5}\) B. \(\frac{4}{13}\) C. \(\frac{5}{24}\) D. \(\frac{13}{24}\) Show Content Detailed Solution \(\frac{3}{2x} - \frac{2}{3x} = 4\) \(\frac{9 - 4}{6x}\); \(\frac{5}{6x}\) = 4 5 = 24x ; x = \(\frac{5}{24}\)	C
9.	If (2x + 3)³ = 125, find the value of x A. 1 B. 2 C. 3 D. 4 Show Content Detailed Solution (2x + 3 )² = 125 2n + 3 = 3\(\sqrt{125}\) 2x + 3 = 5 2x = 5 - 3 x = \(\frac{2}{2}\) = 1	A
10.	Factorize x² - 2x - 3xy completely A. (x - 2)(3x - y) B. (x - 3y)(x - 2) C. (x - 3y)(x - 3y) D. (3x + y)(x - 2) Show Content Detailed Solution x² - 2x - 3xy + 6y = x(x - 2) -3y(x - 2) = (x - 3y)(x - 2)	B