1 :- define the binary operation *by a*b-a2+b2. evaluate 4*3

CORRECT ANSWER = 25

2 :- define the angle marked x in the diagram above

CORRECT ANSWER = 120

3 :- find the number of villages that had at least 6 babies

CORRECT ANSWER = 7

4 :- find f2(2x-3)dx

CORRECT ANSWER = 3/5(2x-3)5/3+k

5 :- find its mode of the given data

CORRECT ANSWER = 3

6 :- in how many ways can the given letters of the word LOUNGE can be arranged?

CORRECT ANSWER = 6!

7 :- find the sum of the first 8 terms of the series 3+7+11=15?.of an AP

CORRECT ANSWER = 136

7 :- find the sum of the first 8 terms of the series 3+7+11=15?.of an AP

CORRECT ANSWER = 136

8 :- expres 0.1364*0.15 expressed in standard form

CORRECT ANSWER = 2.046*10(-2)

9 :- find the quadrilateral RSTO inscribed in the circle above with O as centre.find the size of the angle x is given RST=60degress

CORRECT ANSWER = 120

9 :- find the quadrilateral RSTO inscribed in the circle above with O as centre.find the size of the angle x is given RST=60degress

CORRECT ANSWER = 120

10 :- find the number of ways the letters of the word COMMITTEE can be permutated

CORRECT ANSWER = 9!/2!2!2!

11 :- represent the inequality -1<x<3 on a number line

CORRECT ANSWER =

12 :- from the top of a tree the angle of depresion to a point on the ground five metres away is 60degrees.find the height of tree

CORRECT ANSWER = 5root3

12 :- from the top of a tree the angle of depresion to a point on the ground five metres away is 60degrees.find the height of tree

CORRECT ANSWER = 5root3

13 :- a box containing 10 black,4 green,and 6 yellow pens.what is the probability of picking a yellow pen with eyes closed?

CORRECT ANSWER = 3 over 10

14 :- find the base in which the following addition was performed

CORRECT ANSWER = 5

15 :- find the simple interest on N7500 in 4 years at 5%

CORRECT ANSWER = N1500

16 :- FIND THE VALUES OF X AND V RESPECTIVELY IF

CORRECT ANSWER = minus 3,minus 5

17 :- find the diagram above,angles=e because they are

CORRECT ANSWER = alternate angles

18 :- P varies directly as the square of q and inversely as r if p=36 when q=3 and r=4 find p when q =5 and r=2

CORRECT ANSWER = 200

\19 :- given S=(s:s is prime numbers below 11) and

CORRECT ANSWER = [2,3,4,5,6,7,8,10}

20 :- if p={2 4 0 1 5 -2 3 6 -3} find [p]

CORRECT ANSWER = -18

21 :- From the diagram above, which of these statement describe intercept?

CORRECT ANSWER = The line wx is an intercept

22 :- Which of the following options describes the venn diagram below?

CORRECT ANSWER = EnMnP

23 :- Evaluate 3(tanx+1)=6

CORRECT ANSWER = 45 degree

24 :- Evaluate 8.45 x 5.32/7.5, and express your answer to 3s.f

CORRECT ANSWER = 5.99

25 :- Simplify (3 square root 3)raised to power 2/3

CORRECT ANSWER = 3

26 :- The product of the numbers 433 and 23 in base 5 is

CORRECT ANSWER = (22114) base 5

27 :- A man mistakely paid N60000 to acustomer instead of N72000. what is the percentage error

CORRECT ANSWER = 16 raised to 2/3

28 :- The reminder when 3x3 - 4x2 -13x +6 is dividwd by x-1 is

CORRECT ANSWER = -8

29 :- Differentaite y=6x4 -2x3 +8

CORRECT ANSWER = 24x3 -6x2

30 :- The locus of a pont moving with the equal distance from a pont is

CORRECT ANSWER = a circle

31 :- Evaluate (square root 5)raised to power 2 - (square root 4) raised to power 2

CORRECT ANSWER = 1

32 :- Find the sum to infinity of 2,4,8,16,32?

CORRECT ANSWER = 2

33 :- Give the function y=3x2 -5x, find the dy/dx at x=-1

CORRECT ANSWER = -11

34 :- The pie chart above shows the choice of subject among 60 SSS III students. How many of them offerd biology

CORRECT ANSWER = -

35 :- Find the gradient of the straight line passing through the points p(-1, 3) and Q(5, -1

CORRECT ANSWER = minus 2/3

36 :- Factorize the function 3x2 + 5x - 12

CORRECT ANSWER = (3x -4) (x +3)

37 :- If the length of a rectangle is 4 times its width and its area is 144cm2. what is the peremiter

CORRECT ANSWER = 60 cm

38 :- factorize x3 -y3

CORRECT ANSWER = (x-y) (x2 +xy+y2)

39 :- L varies inversely as the square of V. when L=4, V=3, find V when L=1

CORRECT ANSWER = 6

40 :- marks 123456??????.Number of students 16819124 from the table above find the range of the distribution.

CORRECT ANSWER = 5

CORRECT ANSWER = 25

2 :- define the angle marked x in the diagram above

CORRECT ANSWER = 120

3 :- find the number of villages that had at least 6 babies

CORRECT ANSWER = 7

4 :- find f2(2x-3)dx

CORRECT ANSWER = 3/5(2x-3)5/3+k

5 :- find its mode of the given data

CORRECT ANSWER = 3

6 :- in how many ways can the given letters of the word LOUNGE can be arranged?

CORRECT ANSWER = 6!

7 :- find the sum of the first 8 terms of the series 3+7+11=15?.of an AP

CORRECT ANSWER = 136

7 :- find the sum of the first 8 terms of the series 3+7+11=15?.of an AP

CORRECT ANSWER = 136

8 :- expres 0.1364*0.15 expressed in standard form

CORRECT ANSWER = 2.046*10(-2)

9 :- find the quadrilateral RSTO inscribed in the circle above with O as centre.find the size of the angle x is given RST=60degress

CORRECT ANSWER = 120

9 :- find the quadrilateral RSTO inscribed in the circle above with O as centre.find the size of the angle x is given RST=60degress

CORRECT ANSWER = 120

10 :- find the number of ways the letters of the word COMMITTEE can be permutated

CORRECT ANSWER = 9!/2!2!2!

11 :- represent the inequality -1<x<3 on a number line

CORRECT ANSWER =

12 :- from the top of a tree the angle of depresion to a point on the ground five metres away is 60degrees.find the height of tree

CORRECT ANSWER = 5root3

12 :- from the top of a tree the angle of depresion to a point on the ground five metres away is 60degrees.find the height of tree

CORRECT ANSWER = 5root3

13 :- a box containing 10 black,4 green,and 6 yellow pens.what is the probability of picking a yellow pen with eyes closed?

CORRECT ANSWER = 3 over 10

14 :- find the base in which the following addition was performed

CORRECT ANSWER = 5

15 :- find the simple interest on N7500 in 4 years at 5%

CORRECT ANSWER = N1500

16 :- FIND THE VALUES OF X AND V RESPECTIVELY IF

CORRECT ANSWER = minus 3,minus 5

17 :- find the diagram above,angles=e because they are

CORRECT ANSWER = alternate angles

18 :- P varies directly as the square of q and inversely as r if p=36 when q=3 and r=4 find p when q =5 and r=2

CORRECT ANSWER = 200

\19 :- given S=(s:s is prime numbers below 11) and

CORRECT ANSWER = [2,3,4,5,6,7,8,10}

20 :- if p={2 4 0 1 5 -2 3 6 -3} find [p]

CORRECT ANSWER = -18

21 :- From the diagram above, which of these statement describe intercept?

CORRECT ANSWER = The line wx is an intercept

22 :- Which of the following options describes the venn diagram below?

CORRECT ANSWER = EnMnP

23 :- Evaluate 3(tanx+1)=6

CORRECT ANSWER = 45 degree

24 :- Evaluate 8.45 x 5.32/7.5, and express your answer to 3s.f

CORRECT ANSWER = 5.99

25 :- Simplify (3 square root 3)raised to power 2/3

CORRECT ANSWER = 3

26 :- The product of the numbers 433 and 23 in base 5 is

CORRECT ANSWER = (22114) base 5

27 :- A man mistakely paid N60000 to acustomer instead of N72000. what is the percentage error

CORRECT ANSWER = 16 raised to 2/3

28 :- The reminder when 3x3 - 4x2 -13x +6 is dividwd by x-1 is

CORRECT ANSWER = -8

29 :- Differentaite y=6x4 -2x3 +8

CORRECT ANSWER = 24x3 -6x2

30 :- The locus of a pont moving with the equal distance from a pont is

CORRECT ANSWER = a circle

31 :- Evaluate (square root 5)raised to power 2 - (square root 4) raised to power 2

CORRECT ANSWER = 1

32 :- Find the sum to infinity of 2,4,8,16,32?

CORRECT ANSWER = 2

33 :- Give the function y=3x2 -5x, find the dy/dx at x=-1

CORRECT ANSWER = -11

34 :- The pie chart above shows the choice of subject among 60 SSS III students. How many of them offerd biology

CORRECT ANSWER = -

35 :- Find the gradient of the straight line passing through the points p(-1, 3) and Q(5, -1

CORRECT ANSWER = minus 2/3

36 :- Factorize the function 3x2 + 5x - 12

CORRECT ANSWER = (3x -4) (x +3)

37 :- If the length of a rectangle is 4 times its width and its area is 144cm2. what is the peremiter

CORRECT ANSWER = 60 cm

38 :- factorize x3 -y3

CORRECT ANSWER = (x-y) (x2 +xy+y2)

39 :- L varies inversely as the square of V. when L=4, V=3, find V when L=1

CORRECT ANSWER = 6

40 :- marks 123456??????.Number of students 16819124 from the table above find the range of the distribution.

CORRECT ANSWER = 5

==============================

1 :- From the triangle PQR above, calculate PQ

CORRECT ANSWER =

12

2 :- For what value of y is the function x = 8/y+5 not define?

CORRECT ANSWER =

-5

3 :- Find th values of x for which x power 3 - x power 2 - 5x is minimum

CORRECT ANSWER =

-1

4 :- A class consists of 12 boys and 8 girls, what is th probability that if two people were chosen at random

with replacement from the class, it will be a and a girl in that order?

CORRECT ANSWER =

6/25

5 :- The locus of a poin P, such that the area of QPR is constant, where QR is the base of triangles, is

CORRECT ANSWER =

An arc of a circle

6 :- Given the figure above, find the area of the portion marked x.

CORRECT ANSWER =

2 pie/3 - root 3

7 :- Find the ara of the shaded segment in the diagram above.

CORRECT ANSWER =

30.1cm square

8 :- If P = [3,5,2] and Q = [5,4,-6 2,1,0 3,-3,5] [2,5,2] = [31,11,-8], find QP

CORRECT ANSWER =

[31,11,-8]

9 :- In how many ways can we arrange 8 men in a round table so that 2 must sit together?

CORRECT ANSWER =

1440 ways

10 :- From the above, calculate the bearing of R from P

CORRECT ANSWER =

70 degree

11 :- Find the modal score from the above frequency distribution.

CORRECT ANSWER =

3

12 :- Find the equation of the line passing through the point (0,-4) and whose gradient is -2

CORRECT ANSWER =

y = -2x - 4

13 :- Find the values of x if |x,-2 -2,x| - 0

CORRECT ANSWER =

x = + or - 2

14 :- A bicycle which cost N10,500 was hired at 5% interest per annum. Find the interest the bicycle yield

in 8 years.

CORRECT ANSWER =

N4,200

15 :- Find the equation of a straight line parallel to the line y = x - 5 and passes through the orgin (0,0)

CORRECT ANSWER =

y = x

16 :- In the diagram above, QRU and QST are in adjacent plans. QS = QT = 7cm. ST = 6cm <QUR = 60

degree. Find <RQU.

CORRECT ANSWER =

30 degree

17 :- Evaluate S cos y + x dx

CORRECT ANSWER =

sin x + x power 2 /2 + K

18 :- If the mode is p and the median is q, then (p,q) is

CORRECT ANSWER =

(5,5)

19 :- The shaded portion in the Venn diagram above represents

CORRECT ANSWER =

P n Q n R

20 :- What is the remainder if f(x) -2x power 3 - x power 2 + 2 is divided by (x - 2)

CORRECT ANSWER =

14

21 :- Make R the subject of the formula D = cube root 2 pie RQ / 360

CORRECT ANSWER =

180D power 3 / pie Q

22 :- Find the product of 1101 and 1110 in base two

CORRECT ANSWER =

(10110110)

23 :- The 2nd term of a GP is 4 and the 5th term is 32. Find the first and common ratio respectively.

CORRECT ANSWER =

2,2

24 :- In an examination Fadimatu scored 348 marks which is 58% of the total score. Her junior sister

Maimuma scored 330 marks in the same examination . Calculate Maimuma's percentage score.

CORRECT ANSWER =

55%

25 :- Evaluate 11m / x - 2 x power 2 /x+2

CORRECT ANSWER =

-4

26 :- Using the accompanying table above, what is the value of (2 * 3) * 4?

CORRECT ANSWER =

4

26 :- Using the accompanying table above, what is the value of (2 * 3) * 4?

CORRECT ANSWER =

4

27 :- Find the number of arrangement of the letters of the word ASSOCIATION

CORRECT ANSWER =

11! / 2! 2! 2!

28 :- Find the value of 2log3 base 3 + log 4 base 2 + log 100 base 10

CORRECT ANSWER =

6

29 :- Find the mean deviation of the distribution 7,5,6,7,8 and 9

CORRECT ANSWER =

1

30 :- Find the 25th term of the arithmetic progression -5,-8,-11,-14,?

CORRECT ANSWER =

-77

31 :- Y varies inversely as x and y = 60 when x = 3, Find y when x = 4.5

CORRECT ANSWER =

40

32 :- Calculate correct to three significant figures the circumference of a circle of radius 0.042m

CORRECT ANSWER =

0.264

33 :- Evaluate 1- square root 3 / 1 + square root 3.

CORRECT ANSWER =

-2 + square root 3

34 :- From the graph above, estimate the median score.

CORRECT ANSWER =

23

35 :- From the diagram above , given that O is the centre of the PQRST, Find <RST

CORRECT ANSWER =

142.5 degree

36 :- In a class of 120 students, if 65 students take Mathematics while 75 take English Language. Find the

number of students that take both subjects.

CORRECT ANSWER =

20

37 :- Given that log 10 power 2 - 0.3010 and log 10 power 3 -0.4771. Calculate without tables log 10

square root 6 correct 3 significant figures.

CORRECT ANSWER =

0.389

38 :- If x varies over the set of real numbers. Which of the following is illustrated in the diagram above

CORRECT ANSWER =

-3<x<2

39 :-

CORRECT ANSWER =

40 :- if 230x - 1000001 base 2, find the value of x

CORRECT ANSWER =

1

CORRECT ANSWER =

12

2 :- For what value of y is the function x = 8/y+5 not define?

CORRECT ANSWER =

-5

3 :- Find th values of x for which x power 3 - x power 2 - 5x is minimum

CORRECT ANSWER =

-1

4 :- A class consists of 12 boys and 8 girls, what is th probability that if two people were chosen at random

with replacement from the class, it will be a and a girl in that order?

CORRECT ANSWER =

6/25

5 :- The locus of a poin P, such that the area of QPR is constant, where QR is the base of triangles, is

CORRECT ANSWER =

An arc of a circle

6 :- Given the figure above, find the area of the portion marked x.

CORRECT ANSWER =

2 pie/3 - root 3

7 :- Find the ara of the shaded segment in the diagram above.

CORRECT ANSWER =

30.1cm square

8 :- If P = [3,5,2] and Q = [5,4,-6 2,1,0 3,-3,5] [2,5,2] = [31,11,-8], find QP

CORRECT ANSWER =

[31,11,-8]

9 :- In how many ways can we arrange 8 men in a round table so that 2 must sit together?

CORRECT ANSWER =

1440 ways

10 :- From the above, calculate the bearing of R from P

CORRECT ANSWER =

70 degree

11 :- Find the modal score from the above frequency distribution.

CORRECT ANSWER =

3

12 :- Find the equation of the line passing through the point (0,-4) and whose gradient is -2

CORRECT ANSWER =

y = -2x - 4

13 :- Find the values of x if |x,-2 -2,x| - 0

CORRECT ANSWER =

x = + or - 2

14 :- A bicycle which cost N10,500 was hired at 5% interest per annum. Find the interest the bicycle yield

in 8 years.

CORRECT ANSWER =

N4,200

15 :- Find the equation of a straight line parallel to the line y = x - 5 and passes through the orgin (0,0)

CORRECT ANSWER =

y = x

16 :- In the diagram above, QRU and QST are in adjacent plans. QS = QT = 7cm. ST = 6cm <QUR = 60

degree. Find <RQU.

CORRECT ANSWER =

30 degree

17 :- Evaluate S cos y + x dx

CORRECT ANSWER =

sin x + x power 2 /2 + K

18 :- If the mode is p and the median is q, then (p,q) is

CORRECT ANSWER =

(5,5)

19 :- The shaded portion in the Venn diagram above represents

CORRECT ANSWER =

P n Q n R

20 :- What is the remainder if f(x) -2x power 3 - x power 2 + 2 is divided by (x - 2)

CORRECT ANSWER =

14

21 :- Make R the subject of the formula D = cube root 2 pie RQ / 360

CORRECT ANSWER =

180D power 3 / pie Q

22 :- Find the product of 1101 and 1110 in base two

CORRECT ANSWER =

(10110110)

23 :- The 2nd term of a GP is 4 and the 5th term is 32. Find the first and common ratio respectively.

CORRECT ANSWER =

2,2

24 :- In an examination Fadimatu scored 348 marks which is 58% of the total score. Her junior sister

Maimuma scored 330 marks in the same examination . Calculate Maimuma's percentage score.

CORRECT ANSWER =

55%

25 :- Evaluate 11m / x - 2 x power 2 /x+2

CORRECT ANSWER =

-4

26 :- Using the accompanying table above, what is the value of (2 * 3) * 4?

CORRECT ANSWER =

4

26 :- Using the accompanying table above, what is the value of (2 * 3) * 4?

CORRECT ANSWER =

4

27 :- Find the number of arrangement of the letters of the word ASSOCIATION

CORRECT ANSWER =

11! / 2! 2! 2!

28 :- Find the value of 2log3 base 3 + log 4 base 2 + log 100 base 10

CORRECT ANSWER =

6

29 :- Find the mean deviation of the distribution 7,5,6,7,8 and 9

CORRECT ANSWER =

1

30 :- Find the 25th term of the arithmetic progression -5,-8,-11,-14,?

CORRECT ANSWER =

-77

31 :- Y varies inversely as x and y = 60 when x = 3, Find y when x = 4.5

CORRECT ANSWER =

40

32 :- Calculate correct to three significant figures the circumference of a circle of radius 0.042m

CORRECT ANSWER =

0.264

33 :- Evaluate 1- square root 3 / 1 + square root 3.

CORRECT ANSWER =

-2 + square root 3

34 :- From the graph above, estimate the median score.

CORRECT ANSWER =

23

35 :- From the diagram above , given that O is the centre of the PQRST, Find <RST

CORRECT ANSWER =

142.5 degree

36 :- In a class of 120 students, if 65 students take Mathematics while 75 take English Language. Find the

number of students that take both subjects.

CORRECT ANSWER =

20

37 :- Given that log 10 power 2 - 0.3010 and log 10 power 3 -0.4771. Calculate without tables log 10

square root 6 correct 3 significant figures.

CORRECT ANSWER =

0.389

38 :- If x varies over the set of real numbers. Which of the following is illustrated in the diagram above

CORRECT ANSWER =

-3<x<2

39 :-

CORRECT ANSWER =

40 :- if 230x - 1000001 base 2, find the value of x

CORRECT ANSWER =

1

==============================

1 :- SUBSTRACT (14176)8 FROM (17635)8

CORRECT ANSWER =

(3437) base 8

2 :- find the sum of p and q.

CORRECT ANSWER =

(7,6 9,15 7,10)

3 :- find the range values of x satisfying the inequalities 3x-4<8 and 5+x>7

CORRECT ANSWER =

2 < or = x < or = 4

4 :- find the derivative of y=sin(3x^2-2x)

CORRECT ANSWER =

(6x - 2) |Cos (3x power 2 - 2x)

5 :- the pie chart above represents the grades of 250 students in an examination. How many students had excellent

CORRECT ANSWER =

59

6 :- the binary operation * is defined on the set of integers such that y*z=yz+y-z. find 3*(2*5)

CORRECT ANSWER =

71

7 :- factorize 3x^2-27

CORRECT ANSWER =

3(x+3) (x-3)

8 :- find the sum of the first 30 terms of the series 6,12,18?.96

CORRECT ANSWER =

2790

9 :- if it takes 45 women to do a piece of work in 5days, how many women are required to do the work in 3days at the same rate?

CORRECT ANSWER =

75

10 :- in the figure above 0 and 0. find the angle marked n

CORRECT ANSWER =

93 degree

11 :- find the value of n if (14)n + (26)n=(44)n

CORRECT ANSWER =

6

12 :- find the matrix

CORRECT ANSWER =

(1,0 5,1)

13 :- in how many ways can 6people be seated around circular table?

CORRECT ANSWER =

120

14 :- calculate the mean age of the girls to the nearest year

CORRECT ANSWER =

15 years

15 :- find the curved surface area of a cone with circular based diameter 8cm and height 3cm

CORRECT ANSWER =

20 pie cm power 2

16 :- evaluate lim

CORRECT ANSWER =

6

17 :- find the length of the cord to the nearest cm

CORRECT ANSWER =

40cm

18 :- bola has 6 different curtains to be hung in her bedroom,living room and kitchen. If one curtain must be hung in each room at a time. In how many ways can this be done

CORRECT ANSWER =

120

19 :- find x and y

CORRECT ANSWER =

(3, 14)

20 :- find the area enclosed by the curve y=x^2 and the line y=x+2

CORRECT ANSWER =

S 2 base -1 (x + 2 - x power 2 )dx

21 :- find the values of x and y respectively, if 2x + 5y = 1 and 3x -2y = 30

CORRECT ANSWER =

8, -3

22 :- the graph above is the solution of the inequalities

CORRECT ANSWER =

4x+3y < or = 12, y > or = 0, x > or = 0

23 :- find the range of the following set of marks: 78, 42, 60, 35, 58, 60.

CORRECT ANSWER =

43

24 :- if the interest on N120.00 for 1 1/2 years is N5.40, find the interest on N150.00 for 3 months at the same rate

CORRECT ANSWER =

N1.125

25 :- if log10 4 = 0.6021 and log10 6 = 0.7781, evaluate log10 2.4

CORRECT ANSWER =

0.3802

26 :- in a right anled triangle, if tita = 3/4. what is cos tita and sine tita

CORRECT ANSWER =

4/5, 3/5

27 :- if x varies directly as y and inversely as the square of z and x = 5 when y = 2 and z = 1, find z when x = 5 and y = 8

CORRECT ANSWER =

2

28 :- the nth term of a sequence is x2 - 8x + 3. find the sum of the 5th and the 6th terms.

CORRECT ANSWER =

-21

29 :- what is the value of x, if the distance between the points (5, 7) and 2, x) is 4 units?

CORRECT ANSWER =

7 + or - square root 7

30 :- the table above shows the ages of a group of girls. What is the median age of the girls?

CORRECT ANSWER =

16 years

31 :- Evaluate 15.03524 - 2.21624 x 0.55, to 2 decimal places.

CORRECT ANSWER =

13.82

32 :- Solve 4 power 2 x power -1 x 4x power -1 - 16

CORRECT ANSWER =

1/2

33 :- Find (XUY)'

CORRECT ANSWER =

{2,4,8,14,16}

34 :- Given v = pie (R power 2 - r power 2), make R the subject of the formula

CORRECT ANSWER =

Square root v / pie r + r power r

35 :- In a ground of 300 students, 20 offer physics. What is the probability that a student selected at random does not offer physics?

CORRECT ANSWER =

14/15

36 :- In the diagram above, O is the centre of the circle. RSTU. If o, find

CORRECT ANSWER =

70 degree

37 :- Find x in the diagram

CORRECT ANSWER =

7cm

38 :- In a survey of 40 fruits seller, 30 sell orange and 15 sell apple. How many sell both orange and apple?

CORRECT ANSWER =

5

39 :- Find x if log base x 32 - 5

CORRECT ANSWER =

2

40 :- An apple seller bought 230 apples for N1,350.00 and sells at 5 for N35.00. What is her profit?

CORRECT ANSWER =

N260.00

CORRECT ANSWER =

(3437) base 8

2 :- find the sum of p and q.

CORRECT ANSWER =

(7,6 9,15 7,10)

3 :- find the range values of x satisfying the inequalities 3x-4<8 and 5+x>7

CORRECT ANSWER =

2 < or = x < or = 4

4 :- find the derivative of y=sin(3x^2-2x)

CORRECT ANSWER =

(6x - 2) |Cos (3x power 2 - 2x)

5 :- the pie chart above represents the grades of 250 students in an examination. How many students had excellent

CORRECT ANSWER =

59

6 :- the binary operation * is defined on the set of integers such that y*z=yz+y-z. find 3*(2*5)

CORRECT ANSWER =

71

7 :- factorize 3x^2-27

CORRECT ANSWER =

3(x+3) (x-3)

8 :- find the sum of the first 30 terms of the series 6,12,18?.96

CORRECT ANSWER =

2790

9 :- if it takes 45 women to do a piece of work in 5days, how many women are required to do the work in 3days at the same rate?

CORRECT ANSWER =

75

10 :- in the figure above 0 and 0. find the angle marked n

CORRECT ANSWER =

93 degree

11 :- find the value of n if (14)n + (26)n=(44)n

CORRECT ANSWER =

6

12 :- find the matrix

CORRECT ANSWER =

(1,0 5,1)

13 :- in how many ways can 6people be seated around circular table?

CORRECT ANSWER =

120

14 :- calculate the mean age of the girls to the nearest year

CORRECT ANSWER =

15 years

15 :- find the curved surface area of a cone with circular based diameter 8cm and height 3cm

CORRECT ANSWER =

20 pie cm power 2

16 :- evaluate lim

CORRECT ANSWER =

6

17 :- find the length of the cord to the nearest cm

CORRECT ANSWER =

40cm

18 :- bola has 6 different curtains to be hung in her bedroom,living room and kitchen. If one curtain must be hung in each room at a time. In how many ways can this be done

CORRECT ANSWER =

120

19 :- find x and y

CORRECT ANSWER =

(3, 14)

20 :- find the area enclosed by the curve y=x^2 and the line y=x+2

CORRECT ANSWER =

S 2 base -1 (x + 2 - x power 2 )dx

21 :- find the values of x and y respectively, if 2x + 5y = 1 and 3x -2y = 30

CORRECT ANSWER =

8, -3

22 :- the graph above is the solution of the inequalities

CORRECT ANSWER =

4x+3y < or = 12, y > or = 0, x > or = 0

23 :- find the range of the following set of marks: 78, 42, 60, 35, 58, 60.

CORRECT ANSWER =

43

24 :- if the interest on N120.00 for 1 1/2 years is N5.40, find the interest on N150.00 for 3 months at the same rate

CORRECT ANSWER =

N1.125

25 :- if log10 4 = 0.6021 and log10 6 = 0.7781, evaluate log10 2.4

CORRECT ANSWER =

0.3802

26 :- in a right anled triangle, if tita = 3/4. what is cos tita and sine tita

CORRECT ANSWER =

4/5, 3/5

27 :- if x varies directly as y and inversely as the square of z and x = 5 when y = 2 and z = 1, find z when x = 5 and y = 8

CORRECT ANSWER =

2

28 :- the nth term of a sequence is x2 - 8x + 3. find the sum of the 5th and the 6th terms.

CORRECT ANSWER =

-21

29 :- what is the value of x, if the distance between the points (5, 7) and 2, x) is 4 units?

CORRECT ANSWER =

7 + or - square root 7

30 :- the table above shows the ages of a group of girls. What is the median age of the girls?

CORRECT ANSWER =

16 years

31 :- Evaluate 15.03524 - 2.21624 x 0.55, to 2 decimal places.

CORRECT ANSWER =

13.82

32 :- Solve 4 power 2 x power -1 x 4x power -1 - 16

CORRECT ANSWER =

1/2

33 :- Find (XUY)'

CORRECT ANSWER =

{2,4,8,14,16}

34 :- Given v = pie (R power 2 - r power 2), make R the subject of the formula

CORRECT ANSWER =

Square root v / pie r + r power r

35 :- In a ground of 300 students, 20 offer physics. What is the probability that a student selected at random does not offer physics?

CORRECT ANSWER =

14/15

36 :- In the diagram above, O is the centre of the circle. RSTU. If o, find

CORRECT ANSWER =

70 degree

37 :- Find x in the diagram

CORRECT ANSWER =

7cm

38 :- In a survey of 40 fruits seller, 30 sell orange and 15 sell apple. How many sell both orange and apple?

CORRECT ANSWER =

5

39 :- Find x if log base x 32 - 5

CORRECT ANSWER =

2

40 :- An apple seller bought 230 apples for N1,350.00 and sells at 5 for N35.00. What is her profit?

CORRECT ANSWER =

N260.00

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