SS3: MATHEMATICS – 2ND TERM
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Matrices I | Week 16 Topics
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Matrices II | Week 21 Topic|1 Quiz
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Commercial Arithmetic | Week 37 Topics|1 Quiz
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Coordinate Geometry | Week 48 Topics|1 Quiz
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Differentiation of Algebraic Expressions | Week 5 & 67 Topics
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Application of Differentiation | Week 74 Topics|1 Quiz
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Integration | Week 88 Topics|1 Quiz
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Question 1 of 70
1. Question
What sum of money will amount to D10,400.00 in 5 years at 6% simple interest?
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Question 2 of 70
2. Question
At what rate per annum will ₦520.00 yield a simple interest of ₦39.00 in 3 years?
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Question 3 of 70
3. Question
Find the value to which ₦3000.00 will amount in 5 years at 6% per annum simple interest.
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Question 4 of 70
4. Question
A trader bought sachet water for GH₵55.00 per dozen and sold them at 10 for GH₵50.00. Calculate, correct to 2 decimal places, his percentage gain.
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Question 5 of 70
5. Question
A man made a loss of 15% by selling an article for ₦595. Find the cost price of the article
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Question 6 of 70
6. Question
A machine valued at ₦20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years?
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Question 7 of 70
7. Question
A monthly salary of a man increased from ₦2,700 to ₦3,200. Find the percentage increase.
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Question 8 of 70
8. Question
An amount of N550,000.00 was realized when a principal, x was saved at 2% simple interest for 5 years.
Find the value of x.
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Question 9 of 70
9. Question
P naira invested for 4 years at r% simple interest per annum yields 0.36P naira. Find the value of r.
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Question 10 of 70
10. Question
A woman received a discount of 20% on a piece of cloth she purchased from a shop. If she paid $525.00. What was the original price?
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Question 11 of 70
11. Question
The coordinates of points P and Q are (4,3) and (2,-1) respectively. Find the shortest distance between P and Q.
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Question 12 of 70
12. Question
A straight line passes through the points P(1, 2) and Q(5, 8).
Use this information to answer this question. Calculate the length PQ.
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Question 13 of 70
13. Question
If P(2,3) and Q(2,5) are points on a graph, calculate the length PQ.
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Question 14 of 70
14. Question
If M and N are the points (-3, 8) and (5, -7) respectively, Find |MN|.
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Question 15 of 70
15. Question
If M and N are two fixed points in a plane, find the locus l={P: PM=PN}.
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Question 16 of 70
16. Question
Find the gradient of the line joining the point (2,-3) and (2,5)
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Question 17 of 70
17. Question
Find the gradient of the straight line joining the points P(– 4, 5) and Q(4, 17)
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Question 18 of 70
18. Question
A straight line passes through the points P(1, 2) and Q(5, 8).
Use this information to answer this question.
Calculate the gradient of the line PQ.
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Question 19 of 70
19. Question
Find the slope of the line passing through the pairs of points (-4, 0) and origin.
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Question 20 of 70
20. Question
Find the slope of the line passing through the points M (-2, 3) and N (2, 7).
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Question 21 of 70
21. Question
P(3, 4) and Q(-3, -4) are two points in a plane. Find the gradient of the line that is normal to the line.
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Question 22 of 70
22. Question
The equation of the line through the points (4, 2) and (-8, -2) is
3y = px + q
where p and q are constants: Find the value of p?
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Question 23 of 70
23. Question
If (-3, -4) is a point on the line y = mx + 2. Find the value of m.
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Question 24 of 70
24. Question
Find the value of x which satisfies the equation 5(x – 7) = 7 – 2x.
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Question 25 of 70
25. Question
Find the equation of a straight line passing through the point (1,-5) and having a gradient of \( \frac{3}{4}\)
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Question 26 of 70
26. Question
Find the equation of the line parallel to 2y = 3(x – 2) and passing through the point (2, 3).
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Question 27 of 70
27. Question
If three children share ₦10.50 among themselves in ratio 6:7:8, how much is the largest share?
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Question 28 of 70
28. Question
Three men Bedu, Bakre, and Kofi shared N500 in the ratio 3:2:x respectively, If Bedu’s share is N150, find the value of x.
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Question 29 of 70
29. Question
Alfred spent ¼ of his money on food 1/3 on clothing and saved the rest. If he saved $72,000.00, how much did he spend on food?
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Question 30 of 70
30. Question
The sum of ₦18,100.00 was shared among 5 boys and 4 girls with each boy taking ₦20.00 more than each girl. Find the boy’s share.
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Question 31 of 70
31. Question
\(\scriptsize \begin{bmatrix}-x & 2\\ 4x & 1 \end{bmatrix} = \begin{bmatrix} -3 & 3x\\ 4 & -5 \end{bmatrix}\)
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Question 32 of 70
32. Question
A triangle has vertices P(-1, 6), Q(-3, -4) and R(1, -4).
Find the midpoints of PQ and QR respectively.
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Question 33 of 70
33. Question
Evaluate \( \scriptsize\int_{2}^{3}(x^2 \: – \: 2x)dx\)
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Question 34 of 70
34. Question
Find the slope of the curve y = 2x2 + 5x – 3 at (1, 4)
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Question 35 of 70
35. Question
If y = 3 sin(-4x)
\( \frac{dy}{dx} \scriptsize \: is \: ? \)
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Question 36 of 70
36. Question
Determine the maximum value of y = 3x2 – x3
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Question 37 of 70
37. Question
Evaluate \( \scriptsize\int_{1}^{3}(x^2 \: – \: 1)dx\)
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Question 38 of 70
38. Question
Find the derivative of the function
y = 2x2(2x – 1)
at the point x = -1
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Question 39 of 70
39. Question
Find the derivative of (2 + 3x)(1 – x) with respect to x.
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Question 40 of 70
40. Question
If P = \( \scriptsize \begin{pmatrix} 1 & 0 &-1 \\ 3 & 4 &5 \\ -1& 0 & 1 \end{pmatrix}\)
then |P| is
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Question 41 of 70
41. Question
If M and N are two matrices defined by
M = \(\scriptsize \begin{pmatrix} 1 & 3 & 2 \\ 4 & 5 & -1\\-3 & 2 & 0 \end{pmatrix} \)
and
N = \(\scriptsize \begin{pmatrix} 1 & -2 & 3 \\ 4 & -1 & 5\\2 & -3 & -1 \end{pmatrix} \)
Evaluate 2M – 3N
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Question 42 of 70
42. Question
If D = \(\scriptsize \begin{pmatrix} 1 & 3 & 2 \\ 4 & 5 & -1\\-3 & 2 & 0 \end{pmatrix} \)
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Question 43 of 70
43. Question
Find the coordinates of the midpoint of the line joining (3, -4) and (-1, 10)
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Question 44 of 70
44. Question
The maximum value of the function f(x) = 2 + x – x2 is
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Question 45 of 70
45. Question
If y = (1 – 2x)3, Find the value of \(\frac{dy}{dx} \)
at x=−1
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Question 46 of 70
46. Question
Find the area of figure bounded by the given pair of curves y = x2 – x + 3 and y = 3
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Question 47 of 70
47. Question
Differentiate \( \left(\scriptsize x^2 \: -\: \normalsize \frac{1}{x} \right)^2 \)
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Question 48 of 70
48. Question
If
\( \frac{dy}{dx} \scriptsize = x \: +\: cosx\)
Find y
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Question 49 of 70
49. Question
Evaluate
\(\scriptsize \int_{-4}^{0}(1 \: -\: 2x)dx \)
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Question 50 of 70
50. Question
If y = xcosx, find \( \frac{dy}{dx} \)
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Question 51 of 70
51. Question
If the midpoint of (2, x) and (y, 2) is (4, 2), the respective values of x and y are
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Question 52 of 70
52. Question
Find the determinant of
\(\scriptsize \begin{pmatrix} 1 & 0 & 1\\ 1& 1 &0 \\ 0& 1 & 2\end{pmatrix}\)
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Question 53 of 70
53. Question
If Q = \(\scriptsize\begin{pmatrix} 3 & -2 & 1\\ -2 & 1 &-1 \\ 1& -3 & 2 \end{pmatrix} \)
then -3Q is A.
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Question 54 of 70
54. Question
Determine the distance between points P(3, 4) and Q(4, 5)
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Question 55 of 70
55. Question
Integrate
\( \frac{2x^3 \: + \: 2x}{x} \)
with respect to x.
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Question 56 of 70
56. Question
Find the derivative of
y = \( \left(\frac{1}{3} \scriptsize x \: +\: 6 \right)^2 \)
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Question 57 of 70
57. Question
Evaluate (cos4x + sin3x)dx
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Question 58 of 70
58. Question
Find \( \frac{dy}{dx}\)
If y = \( \frac{2x^3}{3} \: -\: \frac{4}{x} \)
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Question 59 of 70
59. Question
If y = 2x3 + 6x2 + 6x + 1,
Find \( \frac{dy}{dx} \)
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Question 60 of 70
60. Question
If y = 3x3 + 2x2 + 3x + 1
Find \( \frac{dy}{dx}\)
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Question 61 of 70
61. Question
Evaluate \( \int \scriptsize\left( sinx \: -\: 5x^2 \right)dx \)
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Question 62 of 70
62. Question
If y = 3sin(-4x)
\( \frac{dy}{dx}\) is
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Question 63 of 70
63. Question
If P = \( \scriptsize\begin{pmatrix}2 & 3\\ 4& 5\end{pmatrix}\)
and Q = \( \scriptsize\begin{pmatrix}4 & 2\\ 3& 3\end{pmatrix}\)
Find 2P – Q
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Question 64 of 70
64. Question
Evaluate \( \int \scriptsize sin4x(dx) \)
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Question 65 of 70
65. Question
Find the determinant of
\(\scriptsize\begin{vmatrix}0 & 3 & 2\\ 1 & 7 & 8\\ 0 & 5 &4 \end{vmatrix} \)
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Question 66 of 70
66. Question
If \( \scriptsize y = x^2 \: -\: 3x \: + \: 4 \)
Find \( \frac{dy}{dx} \scriptsize \: at \: x \: =5 \)
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Question 67 of 70
67. Question
The gradient of the line joining (x, 4) and (1, 2) is \( \frac{1}{2}\)
Find the value of x.
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Question 68 of 70
68. Question
Find y if
\(\scriptsize\begin{pmatrix}5 & -6\\ 2& -7\end{pmatrix} \begin{pmatrix} x\\ y\end{pmatrix} = \begin{pmatrix} 7\\ -11\end{pmatrix}\)
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Question 69 of 70
69. Question
If \(\scriptsize \begin{vmatrix}-x & 12\\ -1& 4\end{vmatrix} = -12\)
Find x
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Question 70 of 70
70. Question
If A = \(\scriptsize \begin{vmatrix}2 & 5\\ -1& 3\end{vmatrix}\)
and
B = \(\scriptsize \begin{vmatrix}1 & 4\\ 3 & 7\end{vmatrix}\)
then A + B =
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