Questions for Further Mathematics

Back to Subjects
Question Options Answer
SSS ONE FM Solve: x + 7 > 15 A) x > 7
B) x > 8
C) x < 8
D) x < 7 		optionB
Solve: x − 5 < 9 A) x < 14
B) x > 14
C) x ≤ 14
D) x ≥ 14 		optionA
Solve: 4x > 20 A) x < 5
B) x = 5
C) x > 5
D) x ≥ 5 		optionC
Solve: 3x ≤ 18 A) x < 6
B) x ≤ 6
C) x > 6
D) x ≥ 6 		optionB
Solve: 2x + 5 < 15 A) x < 5
B) x > 5
C) x ≥ 5
D) x = 5 		optionA
The point where the x-axis and y-axis intersect is called the ___ A) quadrant
B) ordinate
C) origin
D) abscissa 		optionC
The coordinates of the origin are ___ A) (1,0)
B) (0,1)
C) (1,1)
D) (0,0) 		optionD
The point (5, 3) lies in the ___ A) First quadrant
B) Second quadrant
C) Third quadrant
D) Fourth quadrant 		optionA
The point (-4, 6) lies in the ___ A) First quadrant
B) Second quadrant
C) Third quadrant
D) Fourth quadrant 		optionB
The point (2, -7) lies in the ___ A) Second quadrant
B) Third quadrant
C) Fourth quadrant
D) First quadrant 		optionC
The x-coordinate is called the ___ A) ordinate
B) abscissa
C) gradient
D) origin 		optionB
Simplify √25. A) 4
B) 5
C) 6
D) 7 		optionB
Simplify √64. A) 6
B) 7
C) 8
D) 9 		optionC
Which of the following is a surd? A) √16
B) √25
C) √18
D) √81 		optionC
Simplify 2√5 + 3√5. A) 5√5
B) 6√5
C) √10
D) 5 		optionA
Evaluate 2³. A) 4
B) 6
C) 8
D) 16 		optionC
Evaluate 5². A) 10
B) 20
C) 25
D) 30 		optionC
Simplify 3² × 3³. A) 3⁵
B) 3⁶
C) 6⁵
D) 9⁵ 		optionA
Simplify 2⁶ ÷ 2². A) 2²
B) 2³
C) 2⁴
D) 2⁸ 		optionC
Evaluate 10⁰. A) 10
B) 0
C) 1
D) 100 		optionC
Solve: 5x > 35 A) x < 7
B) x > 7
C) x = 7
D) x ≤ 7 		optionB
Solve: 4x - 8 ≥ 12 A) x ≥ 5
B) x ≤ 5
C) x > 5
D) x < 5 		optionA
Solve: 3 + x ≤ 10 A) x > 7
B) x ≥ 7
C) x ≤ 7
D) x < 7 		optionC
The point (-5, -3) lies in the ___ A) First quadrant
B) Second quadrant
C) Third quadrant
D) Fourth quadrant 		optionC
The point (0, 6) lies on the ___ A) x-axis
B) y-axis
C) first quadrant
D) fourth quadrant 		optionB
The point (8, 0) lies on the ___ A) x-axis
B) y-axis
C) second quadrant
D) third quadrant 		optionA
Which of the following points is in the Fourth Quadrant? A) (-2, 5)
B) (4, -6)
C) (-3, -4)
D) (5, 2) 		optionB
Simplify √49. A) 6
B) 7
C) 8
D) 9 		optionB
Simplify √121. A) 10
B) 11
C) 12
D) 13 		optionB
Simplify 4√3 + 2√3. A) 6√3
B) 8√3
C) 2√6
D) 12√3 		optionA
Which of the following is a surd? A) √100
B) √64
C) √27
D) √81 		optionC
Evaluate 4³. A) 16
B) 32
C) 64
D) 81 		optionC
Evaluate 6². A) 12
B) 24
C) 30
D) 36 		optionD
Simplify 5⁴ ÷ 5². A) 5²
B) 5⁶
C) 25²
D) 5³ 		optionA
Simplify 7² × 7³. A) 7⁴
B) 7⁵
C) 14⁵
D) 49⁵ 		optionB
Evaluate (2³)². A) 16
B) 32
C) 64
D) 8 		optionC
Which law of indices is used in 3² × 3⁴ = 3⁶? A) Add the powers
B) Subtract the powers
C) Multiply the powers
D) Divide the powers 		optionA
Simplify 9⁰. A) 9
B) 1
C) 0
D) 90 		optionB
Solve: x/4 > 3 A) x > 12
B) x < 12
C) x ≥ 12
D) x ≤ 12 		optionA
The coordinates of a point are written in the form ___ A) (x, y)
B) (y, x)
C) x + y
D) x ÷ y 		optionA
SSS ONE FM Solve: x + 7 > 15 A) x > 7
B) x > 8
C) x < 8
D) x < 7 		optionB
Solve: x − 5 < 9 A) x < 14
B) x > 14
C) x ≤ 14
D) x ≥ 14 		optionA
Solve: 4x > 20 A) x < 5
B) x = 5
C) x > 5
D) x ≥ 5 		optionC
Solve: 3x ≤ 18 A) x < 6
B) x ≤ 6
C) x > 6
D) x ≥ 6 		optionB
Solve: 2x + 5 < 15 A) x < 5
B) x > 5
C) x ≥ 5
D) x = 5 		optionA
The point where the x-axis and y-axis intersect is called the ___ A) quadrant
B) ordinate
C) origin
D) abscissa 		optionC
The coordinates of the origin are ___ A) (1,0)
B) (0,1)
C) (1,1)
D) (0,0) 		optionD
The point (5, 3) lies in the ___ A) First quadrant
B) Second quadrant
C) Third quadrant
D) Fourth quadrant 		optionA
The point (-4, 6) lies in the ___ A) First quadrant
B) Second quadrant
C) Third quadrant
D) Fourth quadrant 		optionB
The point (2, -7) lies in the ___ A) Second quadrant
B) Third quadrant
C) Fourth quadrant
D) First quadrant 		optionC
The x-coordinate is called the ___ A) ordinate
B) abscissa
C) gradient
D) origin 		optionB
Simplify √25. A) 4
B) 5
C) 6
D) 7 		optionB
Simplify √64. A) 6
B) 7
C) 8
D) 9 		optionC
Which of the following is a surd? A) √16
B) √25
C) √18
D) √81 		optionC
Simplify 2√5 + 3√5. A) 5√5
B) 6√5
C) √10
D) 5 		optionA
Evaluate 2³. A) 4
B) 6
C) 8
D) 16 		optionC
Evaluate 5². A) 10
B) 20
C) 25
D) 30 		optionC
Simplify 3² × 3³. A) 3⁵
B) 3⁶
C) 6⁵
D) 9⁵ 		optionA
Simplify 2⁶ ÷ 2². A) 2²
B) 2³
C) 2⁴
D) 2⁸ 		optionC
Evaluate 10⁰. A) 10
B) 0
C) 1
D) 100 		optionC
Solve: 5x > 35 A) x < 7
B) x > 7
C) x = 7
D) x ≤ 7 		optionB
Solve: 4x - 8 ≥ 12 A) x ≥ 5
B) x ≤ 5
C) x > 5
D) x < 5 		optionA
Solve: 3 + x ≤ 10 A) x > 7
B) x ≥ 7
C) x ≤ 7
D) x < 7 		optionC
The point (-5, -3) lies in the ___ A) First quadrant
B) Second quadrant
C) Third quadrant
D) Fourth quadrant 		optionC
The point (0, 6) lies on the ___ A) x-axis
B) y-axis
C) first quadrant
D) fourth quadrant 		optionB
The point (8, 0) lies on the ___ A) x-axis
B) y-axis
C) second quadrant
D) third quadrant 		optionA
Which of the following points is in the Fourth Quadrant? A) (-2, 5)
B) (4, -6)
C) (-3, -4)
D) (5, 2) 		optionB
Simplify √49. A) 6
B) 7
C) 8
D) 9 		optionB
Simplify √121. A) 10
B) 11
C) 12
D) 13 		optionB
Simplify 4√3 + 2√3. A) 6√3
B) 8√3
C) 2√6
D) 12√3 		optionA
Which of the following is a surd? A) √100
B) √64
C) √27
D) √81 		optionC
Evaluate 4³. A) 16
B) 32
C) 64
D) 81 		optionC
Evaluate 6². A) 12
B) 24
C) 30
D) 36 		optionD
Simplify 5⁴ ÷ 5². A) 5²
B) 5⁶
C) 25²
D) 5³ 		optionA
Simplify 7² × 7³. A) 7⁴
B) 7⁵
C) 14⁵
D) 49⁵ 		optionB
Evaluate (2³)². A) 16
B) 32
C) 64
D) 8 		optionC
Which law of indices is used in 3² × 3⁴ = 3⁶? A) Add the powers
B) Subtract the powers
C) Multiply the powers
D) Divide the powers 		optionA
Simplify 9⁰. A) 9
B) 1
C) 0
D) 90 		optionB
Solve: x/4 > 3 A) x > 12
B) x < 12
C) x ≥ 12
D) x ≤ 12 		optionA
The coordinates of a point are written in the form ___ A) (x, y)
B) (y, x)
C) x + y
D) x ÷ y 		optionA
SSS ONE FM Solve: x + 7 > 15 A) x > 7
B) x > 8
C) x < 8
D) x < 7 		optionB
Solve: x − 5 < 9 A) x < 14
B) x > 14
C) x ≤ 14
D) x ≥ 14 		optionA
Solve: 4x > 20 A) x < 5
B) x = 5
C) x > 5
D) x ≥ 5 		optionC
Solve: 3x ≤ 18 A) x < 6
B) x ≤ 6
C) x > 6
D) x ≥ 6 		optionB
Solve: 2x + 5 < 15 A) x < 5
B) x > 5
C) x ≥ 5
D) x = 5 		optionA
The point where the x-axis and y-axis intersect is called the ___ A) quadrant
B) ordinate
C) origin
D) abscissa 		optionC
The coordinates of the origin are ___ A) (1,0)
B) (0,1)
C) (1,1)
D) (0,0) 		optionD
The point (5, 3) lies in the ___ A) First quadrant
B) Second quadrant
C) Third quadrant
D) Fourth quadrant 		optionA
The point (-4, 6) lies in the ___ A) First quadrant
B) Second quadrant
C) Third quadrant
D) Fourth quadrant 		optionB
The point (2, -7) lies in the ___ A) Second quadrant
B) Third quadrant
C) Fourth quadrant
D) First quadrant 		optionC
The x-coordinate is called the ___ A) ordinate
B) abscissa
C) gradient
D) origin 		optionB
Simplify √25. A) 4
B) 5
C) 6
D) 7 		optionB
Simplify √64. A) 6
B) 7
C) 8
D) 9 		optionC
Which of the following is a surd? A) √16
B) √25
C) √18
D) √81 		optionC
Simplify 2√5 + 3√5. A) 5√5
B) 6√5
C) √10
D) 5 		optionA
Evaluate 2³. A) 4
B) 6
C) 8
D) 16 		optionC
Evaluate 5². A) 10
B) 20
C) 25
D) 30 		optionC
Simplify 3² × 3³. A) 3⁵
B) 3⁶
C) 6⁵
D) 9⁵ 		optionA
Simplify 2⁶ ÷ 2². A) 2²
B) 2³
C) 2⁴
D) 2⁸ 		optionC
Evaluate 10⁰. A) 10
B) 0
C) 1
D) 100 		optionC
Solve: 5x > 35 A) x < 7
B) x > 7
C) x = 7
D) x ≤ 7 		optionB
Solve: 4x - 8 ≥ 12 A) x ≥ 5
B) x ≤ 5
C) x > 5
D) x < 5 		optionA
Solve: 3 + x ≤ 10 A) x > 7
B) x ≥ 7
C) x ≤ 7
D) x < 7 		optionC
The point (-5, -3) lies in the ___ A) First quadrant
B) Second quadrant
C) Third quadrant
D) Fourth quadrant 		optionC
The point (0, 6) lies on the ___ A) x-axis
B) y-axis
C) first quadrant
D) fourth quadrant 		optionB
The point (8, 0) lies on the ___ A) x-axis
B) y-axis
C) second quadrant
D) third quadrant 		optionA
Which of the following points is in the Fourth Quadrant? A) (-2, 5)
B) (4, -6)
C) (-3, -4)
D) (5, 2) 		optionB
Simplify √49. A) 6
B) 7
C) 8
D) 9 		optionB
Simplify √121. A) 10
B) 11
C) 12
D) 13 		optionB
Simplify 4√3 + 2√3. A) 6√3
B) 8√3
C) 2√6
D) 12√3 		optionA
Which of the following is a surd? A) √100
B) √64
C) √27
D) √81 		optionC
Evaluate 4³. A) 16
B) 32
C) 64
D) 81 		optionC
Evaluate 6². A) 12
B) 24
C) 30
D) 36 		optionD
Simplify 5⁴ ÷ 5². A) 5²
B) 5⁶
C) 25²
D) 5³ 		optionA
Simplify 7² × 7³. A) 7⁴
B) 7⁵
C) 14⁵
D) 49⁵ 		optionB
Evaluate (2³)². A) 16
B) 32
C) 64
D) 8 		optionC
Which law of indices is used in 3² × 3⁴ = 3⁶? A) Add the powers
B) Subtract the powers
C) Multiply the powers
D) Divide the powers 		optionA
Simplify 9⁰. A) 9
B) 1
C) 0
D) 90 		optionB
Solve: x/4 > 3 A) x > 12
B) x < 12
C) x ≥ 12
D) x ≤ 12 		optionA
The coordinates of a point are written in the form ___ A) (x, y)
B) (y, x)
C) x + y
D) x ÷ y 		optionA
SSS ONE FURTHER MATHE A binary operation ∆ is defined on the set of real numbers R, by x∆y =√(x+y-xy/4) 4, where x, yER. Find the value of 4∆3 A) 16
B) 8
C) 4
D) 2 		optionD
((3√6)/√5+√54/(3√5)) A) (8√6)/5
B) (3√15)/6
C) . (5√6)/(12 )
D) . (5√3)/12 		optionA
If log10(3x+1) + log104=log10(9x+2), find the value of x A) 1/3
B) 1
C) 2
D) 3 		optionA
Simplify (9x3^(n+1)-3^(n+2))/(3^(n+1)- 3^n ) A) 3
B) 9
C) 27
D) 81 		optionB
The functions f:x → 2x2 + 3x -7 and g:x →5x2 + 7x - 6 are defined on the set of real numbers, R. Find the values of x for which 3f(x) = g(x). A) x = -3 or -5
B) x = -3 or 5
C) x = 3 or -5
D) x = 3 or 5 		optionC
Express 4π/5 radians in degrees. A) 288º
B) 200º
C) 144º
D) 120º 		optionC
Which of the following is the semi-inter-quartile range of a distribution? A) Mode – Median
B) Highest score - Lowest score
C) 1/2 (Upper Quartile - Median)
D) 1/2 (Upper Quartile - Lower Quartile) 		optionD
If A) 9/16
B) 81/16
C) 9
D) 9 		option
Simplify x2+10x +25=0 A) -5 twice
B) -10 twice
C) 5twice
D) 10 twice 		optionA
Solve (1/9)x+2 = 243x−2 A) 7/5
B) 6/7
C) -7/6
D) – 6/7 		optionB
if g(-3) = 2x + 3 and f(x) = 3x2 - 2x + 4 A) 37
B) 1
C) -3
D) -179 		optionA
If f(x) = 4x3+ px2 + 7x - 23 is divided by (2x -5), the remainder is 7. find the value of p A) -7.0
B) -8.0
C) -9.6
D) 9 		optionB
For what value of k is 4x2 - 12x + k, a perfect square? A) -9
B) −9/4
C) 9/4
D) 9 		optionD
Given that P = { x: 0 ≤ x ≤ 36, x is a factor of 36 divisible by 3} and Q = { x: 0 ≤ x ≤ 36, x is an even number and a perfect square}, find P n Q. A) {1,4,9 ,36}
B) {3,9 .36}
C) {9, 36}
D) {36} 		optionD
If sin x = 12/13 and sin y = 4/5, where x and y are acute angles, find cos (x + y) A) 48/65
B) 13/15
C) - 33/65
D) - 48/65 		optionC
The first term of an AP is 4 and the sum of the first three terms is 18. Find the product of the first three terms A) 292
B) 272
C) 192
D) 172 		optionC
The bearing of X from Y is 600, what is the bearing of Y from X? A) 2400
B) 1800
C) 2600
D) 3200 		optionA
If 2i +pj and 4i -2j are perpendicular, find the value of p. A) 2
B) 3
C) 4
D) 5 		optionC
If (2x2 – x -3 ) is a factor of +(x) = 2x3 – 5x2 – x + 6, find the other factor. A) (x -2)
B) (x-1)
C) x + 1)
D) (x + 3/2 ) 		optionA
If (x + 2) and (3x + -1) are factors of 6x3 + x2 -19x + 6, find the third factor. A) 2x – 3
B) 3x + 1
C) x – 2
D) 3x + 2. 		optionA
For what value of m is ay2 + my + 4, a perfect square? A) +2, +3
B) +6, - 2
C) +6, -6
D) +. -2 		option
A particle accelerates 12ms and travels a distance of 250m in 6 seconds. Find the initial velocity of the particle. A) 5.7ms
B) 6.0ms
C) 60.0ms
D) 77.5ms . 		optionA
For what value of x will log2 4x + log 2(x + 4) = 7? A) 2
B) 4
C) 6
D) 8 		optionB
If 3 + 2x = 1, find x. A) -½
B) ½
C) -1
D) -1/4. 		optionC
Find the sum of the first 5 terms of the sequence, if the first term is 5 and common different is 3 A) 45
B) 42
C) 55
D) 38 		optionC
In a class of 32, a student can either do Government, History or both. If 16 students do Government, 18 do History and 3 students do none of the two subjects, find how many do both. A) 2
B) 5
C) 37
D) 34. 		optionB
Solve the equation; (0.25)x+1 = 16. A) -3
B) -2
C) 3
D) ½. 		optionA
In a class of 18, a student can either offer Biology, Economics or both. If 8 students offer Biology, 12 offer Economics and 5 students offer neither of the two subjects. Find how many students offer both subjects. A) 25
B) 17
C) 7
D) 12. 		optionC
In a class of 18, a student can either offer Biology, Economics or both. If 8 students offer Biology, 12 offer Economics and 5 students offer neither of the two subjects Find the number of students that offer at most one subject. A) 11
B) 14
C) 13
D) 5. 		optionA
Simplify: 36 ½ x 64-1/3 x 5 A) 0
B) 1/24
C) 2/3
D) 7 ½ 		option
Cot q can be express as A) 1/sin q
B) 1/cos q
C) 1/tan q
D) tan q 		optionC
Find the sum of the first 12 terms of the series 5 + 9 + 13 + A) 612
B) 702
C) 119
D) 324 		optionD
If 3x – y = 23 and 2x + 5y = 4 find the valve of y A) – 20
B) -2
C) 2
D) 7 		optionB
If the square root of 4 is 2 then find the square root of 400 A) 20
B) 200
C) 40
D) 2000 		optionA
Find the 40th term of the linear sequence 6,11,16,21. A) 201
B) 200
C) 75
D) 150 		optionA
Solve the equation (x + 2) (x + 7) = 0 A) x= 1 or 8
B) x = – 2 or -7
C) x = – 4 or 5
D) x = – 3, 6 		optionB
Venn diagram was developed by ……… A) Joseph venn
B) Hwole venn
C) John venn
D) Charle’s Venn 		optionC
SSS TWO FURTHER MATHEMATICS Differentiate(〖5x〗^3+x^2)/x, x ≠ 0 with respect to x. A) 10x + 1
B) 10x + 2
C) x (15x + 1)
D) x (15x + 2) 		optionA
Given that (8x+m)/(x^2-3x-4) ≡ 5/(x+1 )+ 3/(x-4) A) 23
B) 17
C) -17
D) 17 		optionC
Given |■(2&-3@1&4)| |■(-6@k)| |■(3@-26)|=15 Solve for k. A) -8
B) -5
C) -4
D) -3 		optionD
Evaluate 4p2+4C2−4p3 A) 18
B) 6
C) -6
D) -18 		optionB
Given that P = {x: x is a multiple of 5}, Q = {x: x is a multiple of 3} and R = {x: x is an odd number} are subsets of μ = {x: 20 ≤ x ≤ 35}, (P⋃Q)∩R. A) {20, 21, 25, 30, 33}
B) {21, 25, 27, 33, 35}
C) {20, 21, 25, 27, 33, 35}
D) {21, 25, 27, 30, 33, 35} 		optionB
In how many ways can six persons be paired? A) 5
B) 10
C) 15
D) 20 		optionC
Solve: 3^(2x-2)-28〖(3〗^(x-2)) + 3=0 A) x = -2 or x = 1
B) x = 0 or x = -3
C) x = 2 or x = 1
D) x = 0 or x = 3 		optionD
Given that P = (-4, -5) and Q = (2,3), express →PQ in the form (k, θ). Where k is the magnitude and θ the bearing A) (10 units, 053º)
B) (9 units, 049º)
C) (10 units, 037º)
D) (9 units, 027º) 		optionA
If →PQ = -2i + 5j and →RQ = -i - 7j, find →PR A) -3i + 12j
B) -3i - 12j
C) -i + 12j
D) i - 12j 		optionC
The table shows the distribution of the distance (in km) covered by 40 hunters while hunting: If a hunter is selected at random, find the probability that the hunter covered at least 6km. A) 3/5
B) 2/5
C) 3/8
D) 9/40 		optionB
Distance (km) 3 4 5 6 7 8 A) 5
B) 6
C) 7
D) 8 		optionA
The first, second and third terms of an exponential sequence (G.P) are (x - 4), (x + 2), and (3x + 1) respectively. Find the values of x. A) −1/2, 8
B) 1/2,−8
C) −1/2,−8
D) 1/2, 8 		optionA
The mean heights of three groups of students consisting of 20, 16 and 14 students each are 1.67m, 1.50m and 1.40m respectively. Find the mean height of all the students. A) 1.63m
B) 1.54m
C) 1.52m
D) 1.42m 		optionB
Solve: 4sin2θ + 1 = 2, where 0º < θ < 180º A) 60º 0r 120º
B) 30º 0r 150º
C) 30º 0r 120º
D) 60º 0r 150º 		optionB
Find the range of values of x for which 2x2 + 7x - 15 ≥ 0. A) x ≤ -5 or x ≥ 3/2
B) x ≥ -5 or x ≤3/2
C) -5 ≤ x ≤ 3/5
D) 3/5 ≤ x ≤ -5 		optionA
The probability that a student will graduate from college is 0.4. If 3 students are selected from the college, what is the probability that at least one student will graduate? A) 0.06
B) 0.22
C) 0.78
D) 0.80 		optionC
A particle of mass 3kg moving along a straight line under the action of a F N, covers a line distance, d, at time, t, such that d = t2+ 3t. Find the magnitude of F at time t. A) 0N
B) 2N
C) 3(2t + 3) N
D) 6N 		optionD
If f(x-1) = x3 + 3x2 + 4x - 5, find f(2) A) 61
B) 25
C) 20
D) 13 		optionA
The length of the line joining points (x,4) and (-x,3) is 7 units. Find the value of x. A) 4√3
B) 2√6
C) 3√2
D) 2√3 		optionD
Given that M=(■(3&2@-1&4))and N= (■(5&6@-2&-3)),calculate (■(3M-&2N)) A) (■(1&6@1&18))
B) (■(-1&-6@1&18))
C) (■(-1&-18@-1&-6))
D) (■(-1&-6@-1&-18)) 		optionB
In how many ways can 8 persons be seated on a bench if only three seats are available? A) 100
B) 125
C) 336
D) 427 		optionC
A body of mass 15kg is placed on a smooth plane which is inclined at 60° to the horizontal. If the box is at rest, calculate the normal reaction to the plane. [Take g = 10m/s2 ] A) 129.9N
B) 75N
C) 60.0N
D) 7.5N 		optionB
A stone is thrown vertically upward and distance, S meters after t seconds is given by S = 12t + 5/〖2t〗^2 - t3. Calculate the maximum height reached. A) 418.5m
B) 56.0m
C) 31.5m
D) 30.0m 		optionC
A bag contains 8 red, 4 blue and 2 green identical balls. Two balls are drawn randomly from the bag without replacement. Find the probability that the balls drawn are red and blue. A) 12/91
B) 16/91
C) 30/91
D) 32/91 		optionD
Find the radius of the circle 2x2 - 4x + 2y2 - 6y -2 = 0. A) 17/4
B) 17/2
C) 17/√2
D) √17/2 		optionD
Given that f: x --> x2 - x + 1 is defined on the Set Q = { x : 0 ≤ x < 20, x is a multiple of 5}. find the set of range of F. A) {21, 91, 221}
B) {21, 91, 221, 381}
C) {1, 21, 91, 211}
D) {1,21, 91, 221,381} 		optionC
If (15-2x)/((x+4)(x-3))= R/((x+4)) 9/(7(x-3)), find the value of R A) −32/7
B) −23/7
C) 23/7
D) 32/7 		optionB
A box contains 5 red balls and K blue balls. A ball is selected at random from the box. If the probability of selecting a blue ball is 2/3 find the value of K. A) 5
B) 6
C) 8
D) 10 		optionD
What is the number of elements in the sample space when two dice are thrown? A) 12
B) 24
C) 36
D) 48 		optionC
How many different arrangement are there for the letters of the word “ABRACADABRA” A) 83160
B) 81360
C) 86310
D) 80316 		optionA
A committee consists of 5 men and 3 women. In how many ways can a subcommittee consisting of 3 men and 1 woman be chosen? A) 20 ways
B) 30 ways
C) 18 ways
D) 36 ways 		optionB
How many different arrangements are there for the letters of the word “JAGAJAGA” A) 204
B) 402
C) 420
D) 240 		optionC
How many arrangements are there for the letters of the word “DEEPLOVE”? A) 6702
B) 6270
C) 6072
D) 6720 		optionD
The probability that Abiola will be late to the office on a given day is 2/5. In a given working week of six days, find, correct to four significant figures, the probability that he will: only be late for 3 days. A) 0.2765
B) 0.002765
C) 0.04666
D) 0.004096 		optionA
If the third term of a geometric progression (G.P) is 10 and the sixth term is 80. Find the common ratio A) 2
B) 3
C) 4
D) 8 		optionA
The gradient of the line passing through the points P (4, 5) and Q (x, 9) is ½ .find the value of x. A) -4
B) 0
C) 4
D) 12 		optionD
Find the 4th term of an A P whose first term is 2 and the common different is 0.5 A) 0.5
B) 2.5
C) 3.5
D) 4 		optionC
Solve for x in the equation 5x x 5x +1 = 25 A) -2
B) ½
C) -½
D) 2 		optionC