Year :
2000
Title :
Mathematics (Core)
Exam :
WASSCE/WAEC MAY/JUNE
Paper 1 | Objectives
1 - 10 of 48 Questions
| # | Question | Ans |
|---|---|---|
| 1. |
Express \(\frac{7}{19}\) as a percentage, correct to one decimal place A. 2.7% B. 3.7% C. 27.1% D. 36.8% Detailed Solution\(\frac{7}{19}\) as a percentage will be\(\frac{7}{19}\times \frac{100}{1}\% = 36.8\%\) |
|
| 2. |
Express 398753 correct to three significant figures A. 398000 B. 398700 C. 398800 D. 399000 Detailed Solution398753 \(\approxeq\) 399000 (to 3 s.f) |
|
| 3. |
Simplify \(\frac{10}{\sqrt{32}}\) A. \(\frac{5}{4}\sqrt{2}\) B. \(\frac{4}{5}\sqrt{2}\) C. \(\frac{5}{16}\sqrt{2}\) D. \(\frac{16}{5}\sqrt{2}\) Detailed Solution\(\frac{10}{\sqrt{32}}=\frac{10}{\sqrt{16\times 2}} = \frac{10}{4\sqrt{2}}\\\frac{10\times \sqrt{2}}{4\sqrt{2}\times\sqrt{2}}=\frac{10\sqrt{2}}{4\times 2}= \frac{5}{4}\sqrt{2}\) |
|
| 4. |
Find the missing number in the addition of the following numbers, in base seven A. 3453 B. 5556 C. 6016 D. 13453 Detailed Solution4321\(_7\) + 1234\(_7\) = 5555\(_7\)Missing number = 12341\(_7\) - 5555\(_7\) = 3453\(_7\) |
|
| 5. |
What fraction must 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. \(\frac{1}{2}\) C. \(1\frac{1}{6}\) D. \(1\frac{1}{2}\) Detailed Solution\(2\frac{1}{6} + 2\frac{7}{12}\)= \(\frac{13}{6} + \frac{31}{12}\) = \(\frac{26 + 31}{12}\) = \(\frac{57}{12} = \frac{19}{4}\) \(\frac{19}{4} - 3\frac{1}{4}\) = \(\frac{19}{4} - \frac{13}{4}\) = \(\frac{6}{4}\) = \(1\frac{1}{2}\) |
|
| 6. |
Simplify \(\left(\frac{16}{81}\right)^{-\frac{3}{4}}\times \sqrt{\frac{100}{81}}\) A. \(\frac{80}{243}\) B. \(\frac{1}{64}\) C. \(\frac{25}{6}\) D. \(\frac{15}{4}\) Detailed Solution\(\left(\frac{16}{81}\right)^{-\frac{3}{4}}\times \sqrt{\frac{100}{81}}\\\frac{1}{\left(\sqrt[4]{\frac{16}{81}}\right)^3}\times \frac{10}{9}=\frac{1}{\left(\frac{2}{3}\right)^3}\times\frac{10}{9}\\ =\frac{27}{8}\times \frac{10}{9}=\frac{15}{4}\) |
|
| 7. |
Which of the following numbers is perfect cube? A. 350 B. 504 C. 950 D. 1728 |
D |
| 8. |
If \(104_x = 68\), find the value of x A. 5 B. 7 C. 8 D. 9 Detailed Solution\(104_x = 68\\1 \times x^2 + 0 \times x + 4 \times x^0 = 68\\ x^2 = 68 - 4; x^2 = 64\\ x = \sqrt{64}=8\) |
|
| 9. |
The ages of three men are in the ratio 3:4:5. If the difference between the ages of the oldest and youngest is 18 years, find the sum of the ages of the three men A. 45 years B. 72 years C. 108 years D. 216 years Detailed SolutionGiven that the ages are in the ratio 3: 4: 5.Let the sum of their ages be t. \(\therefore\) The youngest age = \(\frac{3}{12} t\) The eldest age = \(\frac{5}{12} t\) \(\implies \frac{5}{12} t - \frac{3}{12} t = 18\) \(\frac{2t}{12} = 18 \implies t = \frac{18 \times 12}{2}\) t = 108 years. The sum of their ages = 108 years. |
|
| 10. |
Given that \(log_4 x = -3\), find x. A. \(\frac{1}{81}\) B. \(\frac{1}{64}\) C. 64 D. 81 Detailed Solution\(\log_4 x = -3\)\(x = 4^{-3}\) = \(\frac{1}{64}\) |
| 1. |
Express \(\frac{7}{19}\) as a percentage, correct to one decimal place A. 2.7% B. 3.7% C. 27.1% D. 36.8% Detailed Solution\(\frac{7}{19}\) as a percentage will be\(\frac{7}{19}\times \frac{100}{1}\% = 36.8\%\) |
|
| 2. |
Express 398753 correct to three significant figures A. 398000 B. 398700 C. 398800 D. 399000 Detailed Solution398753 \(\approxeq\) 399000 (to 3 s.f) |
|
| 3. |
Simplify \(\frac{10}{\sqrt{32}}\) A. \(\frac{5}{4}\sqrt{2}\) B. \(\frac{4}{5}\sqrt{2}\) C. \(\frac{5}{16}\sqrt{2}\) D. \(\frac{16}{5}\sqrt{2}\) Detailed Solution\(\frac{10}{\sqrt{32}}=\frac{10}{\sqrt{16\times 2}} = \frac{10}{4\sqrt{2}}\\\frac{10\times \sqrt{2}}{4\sqrt{2}\times\sqrt{2}}=\frac{10\sqrt{2}}{4\times 2}= \frac{5}{4}\sqrt{2}\) |
|
| 4. |
Find the missing number in the addition of the following numbers, in base seven A. 3453 B. 5556 C. 6016 D. 13453 Detailed Solution4321\(_7\) + 1234\(_7\) = 5555\(_7\)Missing number = 12341\(_7\) - 5555\(_7\) = 3453\(_7\) |
|
| 5. |
What fraction must 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. \(\frac{1}{2}\) C. \(1\frac{1}{6}\) D. \(1\frac{1}{2}\) Detailed Solution\(2\frac{1}{6} + 2\frac{7}{12}\)= \(\frac{13}{6} + \frac{31}{12}\) = \(\frac{26 + 31}{12}\) = \(\frac{57}{12} = \frac{19}{4}\) \(\frac{19}{4} - 3\frac{1}{4}\) = \(\frac{19}{4} - \frac{13}{4}\) = \(\frac{6}{4}\) = \(1\frac{1}{2}\) |
| 6. |
Simplify \(\left(\frac{16}{81}\right)^{-\frac{3}{4}}\times \sqrt{\frac{100}{81}}\) A. \(\frac{80}{243}\) B. \(\frac{1}{64}\) C. \(\frac{25}{6}\) D. \(\frac{15}{4}\) Detailed Solution\(\left(\frac{16}{81}\right)^{-\frac{3}{4}}\times \sqrt{\frac{100}{81}}\\\frac{1}{\left(\sqrt[4]{\frac{16}{81}}\right)^3}\times \frac{10}{9}=\frac{1}{\left(\frac{2}{3}\right)^3}\times\frac{10}{9}\\ =\frac{27}{8}\times \frac{10}{9}=\frac{15}{4}\) |
|
| 7. |
Which of the following numbers is perfect cube? A. 350 B. 504 C. 950 D. 1728 |
D |
| 8. |
If \(104_x = 68\), find the value of x A. 5 B. 7 C. 8 D. 9 Detailed Solution\(104_x = 68\\1 \times x^2 + 0 \times x + 4 \times x^0 = 68\\ x^2 = 68 - 4; x^2 = 64\\ x = \sqrt{64}=8\) |
|
| 9. |
The ages of three men are in the ratio 3:4:5. If the difference between the ages of the oldest and youngest is 18 years, find the sum of the ages of the three men A. 45 years B. 72 years C. 108 years D. 216 years Detailed SolutionGiven that the ages are in the ratio 3: 4: 5.Let the sum of their ages be t. \(\therefore\) The youngest age = \(\frac{3}{12} t\) The eldest age = \(\frac{5}{12} t\) \(\implies \frac{5}{12} t - \frac{3}{12} t = 18\) \(\frac{2t}{12} = 18 \implies t = \frac{18 \times 12}{2}\) t = 108 years. The sum of their ages = 108 years. |
|
| 10. |
Given that \(log_4 x = -3\), find x. A. \(\frac{1}{81}\) B. \(\frac{1}{64}\) C. 64 D. 81 Detailed Solution\(\log_4 x = -3\)\(x = 4^{-3}\) = \(\frac{1}{64}\) |