Further Mathematics Questions and Answers
Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.
Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.
A force (10i + 4j)N acts on a body of mass 2kg which is at rest. Find the velocity after 3 seconds.
(5i3+2j3)ms−1
(10i3+4j3)ms−1
(5i+2j)ms−1
(15i+6j)ms−1
Correct answer is D
Recall, F=mass×acceleration⟹acceleration=forcemass
= 10i+4j2=(5i+2j)ms−2
= v=u+at⟹vat 3 seconds=0+(5i+2j×3)
= (15i+6j)ms−1
Given that a = 5i + 4j and b = 3i + 7j, evaluate (3a - 8b).
9i + 44j
-9i + 44j
-9i - 44j
9i - 44j
Correct answer is C
= 3(5i+4j)−8(3i+7j)=15i+12j−24i−56j
= −9i−44j
| Face | 1 | 2 | 3 | 4 | 5 | 6 |
| Frequency | 12 | 18 | y | 30 | 2y | 45 |
Given the table above as the result of tossing a fair die 150 times, find the mode.
3
4
5
6
Correct answer is D
The mode is the occurrence with the highest frequency which, from the table, is 45 (the occurrence of obtaining a 6).
| Face | 1 | 2 | 3 | 4 | 5 | 6 |
| Frequency | 12 | 18 | y | 30 | 2y | 45 |
Given the table above as the results of tossing a fair die 150 times. Find the probability of obtaining a 5.
110
16
15
310
Correct answer is C
Probability of obtaining a 5 = frequency of 5total frequency
12+18+y+30+2y+45=150⟹105+3y=150
3y=45;y=15
Probability of 5 = 2×15150=15
Given that a=(23) and b=(−14), evaluate (2a−14b)
(1747)
(1745)
(1743)
(1742)
Correct answer is B
a=(23); b=(−14)
⟹2×a=(46) and 14×b=(−141)
∴
= \begin{pmatrix} \frac{17}{4} \\ 5 \end{pmatrix}