Mathematics Questions (Quiz) for High School Practice.
Mathematics Questions (Quiz) for High School Practice.
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Science and Mathematics spirit in the young generation. I would supply all
answers to any part of the questions on request free of charge. Be encourage to
take the MATHEMATICS QUIZ which have from section A to E
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SECTION
A
See solution for the question: SINX-COSX ₌
SINX-COSX ₌
Take the square of both
sides
(SINX)2 –
(COSX)2 ₌0.2
Recalled
SIN2 X +COS2X
₌1
SIN2X-(1-SIN2X)
= 0.2
SIN2X+SIN2X=0.2+1
2SIN2X =1.2
Divide both sides by two
2SIN2X ÷2 = 1.2 ÷2
SIN2X =0.6
Take the square root of
both sides
SINX =0.7746
X = ARCSIN(0.7746)
X = 50.76840
Approx. 510
SECTION
B
1.
α
and β are the equation 3X2 +5X-2=0 Find the value of 1/ α + 1/ β
2.
The
3rd term of an A.P is 4X-2Y and the 9th term is 10X-8Y.
Find the common difference
3.
If
(X-1),(X+1) and (X-2) are factors of the polynomial ax3 +bx2
+cx -1 Find a,b and c respectively
4.
In
a regular polygon, each interior angle doubles it corresponding exterior angle.
Find the number of sides of the polygon.(5a
) If P3446 -23P26 = 2PP26. Find the
possible value of P
5.
B.
X and Y are two events.The probability of X or Y is 0.7 and the prob. Of X is
0.4. Find prob. Of Y
6.
If
the mean of the numbers 0, x+2, 3x+6 and 4x+8 is 4. Find their mean deviation
7.
The
variance of x, 2x, 3x, 4x and 5x is ….. (7b)
If 6Pr=6, find the value of 6Pr+1
8.
Find
the principal which amounts to N 5,500 at simple interest in 5 years at 2%
perannum
9.
Given
that P= 1+
and q = 1-
evaluate P2 –q2 ÷ 2pq
10. Find the sum of the range and the mode of
the set of numbers 10,5,10,9,8,7,7,10,9,2,4,10
11. In how many ways can the word MATHEMATICS
be arranged(11b)Find the variance of
2,6,8,6,10
12. A car dealer bought a second-hand car for
N 250,000 and spent N7000 to repair. What is his percentage gain if he sell the
care for N350,000.
13. Differentiate (2X+5)2 (X-4)
wrtx (13b) If (4X3+2X)1/2
find dy/dx
14. Evaluate
15. A flagpole and a building stand on the
same horizontal level. From the point P at the bottom of the building, the
angle of elevation of the top T of the flagpole is 650. From the top
Q of the building the angle of elevation of the point T is 250. If
the building is 20m high calculate the:
(15a) Distance PT (15b) Distance
QT
SECTION
C
1.
If
P=18, Q=21, R=-6 and S=-4, calculate (P-Q)3/R3+S2 (2)
Nick deposited N 150 in the bank,at the end of 5 years the simple interest on
the principal was N55. What was the rate perannum was the interest paid. ( 3)
A number of pencils were shared out among Comfort,Joy and king in the ratio of
2:3:5 respectively.If Comfort got 5, how many were shared out.
(4a) Find n if Log24 +Log27-Log2n=2
(4b)
Find all real numbers X which satisfy the inequality 1/3(X+1)-1>1/5(X+4)
5. If Cosy =3/5 find (5a) Siny-Coty (5b) Siny
(6) Witout using tables, calculate
the value of 1+Sec2300
7.
The table below gives the scores of a group of Students in Maths test
|
Score
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
|
Frequency
|
2
|
4
|
7
|
14
|
12
|
6
|
4
|
1
|
If the mode is M and the number of
student who scored 4 or less is S (7a) What is
(S,M) (7b) Median and
Mean (8a) Solve 8-Y2
(8b) Find Cos 150 (9) Find Sin 1050
10.
The wages of some farm Labourers are partly constant and partly varies as the
hectares of land cleared. When 16 hectares are cleared, the wages paid was N
470, and with 40 hectares cleared, the wages paid was N1070. Find a.
Wages paid for 24 hectares b.
Hectares for which N 2,320 is paid
SECTION
D
1. Factorize
6 2x+1 +7(6x)-5
(2) Find two values of Y
which satisfy the simultaneous equations X+Y=5, X2 -2Y2=1
(3) Simplify (1/27) -1/3
X 16 ¼ X 8 -2/3 (4) Two brothers invested a total of N
7000 on a farm project. The farm yield was sold for N 18,000 at the end of the
season. If the profit was shared in the ratio of 3:2. What is the difference in
the profit share received by the brothers. (5) The probability that John solves a particular maths problem
correctly is 3/8 and probability and the probability that Uche solves the same
problem correctly is 2/7. Find the probability that: (5a)
Both solve the problem correctly (5b)
At least one of them solve the problem correctly (5c)None of them solves the problem correctly. (6)
By selling 20 oranges for N 135 a trader makes a profit 8%. What is his
percentage gain or loss if he sells the same 20 orange for N110.
7. Convert 241 in base 5 to base 8 (8)
Without using maths, tables evaluate Log232- Log525
9. Find the sum of the first 21 terms of the
progression -10,-8,-6…….
10. Find the eleventh term of the progression
4,8,16 ……
11. Three angles of a nonagon are equal and the
sum of six other angles is 11100. Calculate
The size of one of the equal angles. (12) The sine and cosine of 2100
13. What is the
circumference of latitude 00S if R is the radius of the earth?
SECTION E
1. If
f(x) =2X2 -5X +3. Find f(x+1)…..
(2) Make R subject formular S
=
(3) Find p in terms of q if log3
p+ 3log3 q =3 (4) Express
-
as
a single fraction
5. In a family of 21 people, the average age
is 14 years. If the age of the grandfather is not counted, the average age drops to 12 years.
What is the age of the grandfather?
6. What are K and L respectively if ½ (3Y-4X)2
= (8X2 +kxy +LY2)
(7) Dan deposited N 1,000 in
the bank at the rate of 12.5% simple interest. After some time the total amount
was 1.5 times the principal. For how many years was the money kept in the bank,
8. Factorize completely Y3 -4XY +
(X)Y3 – 4Y (9) 4Sin2X -3 = 0, find
X. (9)
Y varies inversely as X2 and X varies directly as Z2.
Find the formular connecting Y and Z if C is constant.
|
0
|
|
2
|
|
-1
|
|
Form the equation represented by this graph
|
11. Divide X3 -2X2 -5X +6
by (X-1) (12)What must be added to 4X2 -4 to make perfect square
13. Eric
borrows N 100 at 2% per month simple interest and repays N 80 after 4 month.
How much does he still owe?(14) Find the gradient of line passing
through the points (-2,0) and (0,-4)
15. The angle
of a sector of a circle,radius 10 cm, is 480. Calculate the
perimeter of the sector.
16. Solve the
following equation 2
X = 7. Find the values of X
17. Find the first
derivative of Y = (2+3X)5 at X=-1
(18) Find the mid -point S
(-5,4) and T(-3,-2)
19. Solve the
following logarithmic equation log10(X2 – 4X +7) =2
20. If
roots of X2 + 5X +6, then (
2 is …..
SECTION
F
1. Using
Sin2A+Cos2A=1 or otherwise, find all values of
(00
0) which satisfy the
equation 8sin2
2. The
thickness of an 800 paged book is 19mm.Calculate the thickness of 2 leaves of
the book giving your answer in metres and in standard form.
3. A
60g of sugar is mistakenly measured as 60.2g.Find the percentage error.
4. A
taxpayer is allowed 1/5 of his income tax free and pays 20% on the remainder.
If he pays N 500 tax, what is his income?
(5) Simplify 3/2
2+1/4 of 32
6.. Simplify
+
(7) From a point 14 metres away from a
tree, a man discovers that the angle of elevation of the tree is 300
if the man measured this angle of elevation from a point 2 metres above the
ground how high is the tree? Tip use TOA.
8. If the sum of the 8th
and 9th terms of an AP is 72 and the fourth term is -6, find the
common difference. (9) Four interior
angles of a pentagon are 900-X, 900+X, 1100-2X,
1100+2X. Find the fifth interior angle. (10) Differentiate wrt first principle 3X3,find dy/dx
11. Factorized completely
(X2+X)2 +(2X+2)2 (12) Find
the values of X in X2 –X-1+0 ?
13. Evaluate 81/3
X52/3/102/3 (14) If two dice are thrown together ,
what is the probability of obtaining at least a score of 10?. (15) If cos
= X/Y find Sec
SECTION E
MATHEMATICS QUESTIONS
FOR 4TH FEBRUARY, 2019
1. The Probability of a student passing any examination is
2/3.If the student takes three exams what is the probability that he will not pass any of them
2. If
=
3. A trader bought goats for N 4,000 each.
He sold them for N 180,000 at a loss of 25%. How many goats did he buy?
4. The acres for rice, pineapple, cassava,
cocoa and palm wine in a district are given respectively as 2, 5, 3, 11 and 9.
What is the angle of the sector for COCOA in a pie chart.
5. Find the derivative of Y=Sin2(5X)
wrtx (5b) Find the mean of the data
7,-3,4,-2,5,-9,4,8,-6 and 12
6. In a class of 4o students 32 offer maths
and 24 offer chemistry and 5 offer neither maths nor chemistry. (6a) Find the number of people that
offer maths only (6b)How many offer
both
7. If 92X-1/27X-1=
1 (7b)
Simplify 2134 X 2314
8. Three consecutive terms of a
geometric progression are given as n-2, n and n+5.Find D
9. The sum of the first n terms of an
arithmetic progression is 252.If the first term -16 and last term is 72, find
the number of terms in the series.
10. Determine the maximum value of Y = 3X2-X3(10b) Find the slope of the curve Y=2X2+5X-3,at
(1,4)
11. A woman buys 270 oranges for N 1800
and sells at 5 for N40.What is her profit?
12.
Find the principal which amounts to N 5,500 at simple interest in 5 years
at 2% perannum
13.
Given that P= 1+
and q = 1-
evaluate P2 –q2 ÷ 2pq
14.
Find
the sum of the range and the mode of the set of numbers
10,5,10,9,8,7,7,10,9,2,4,10
15.
In
how many ways can the word MATHEMATICS be arranged(11b)Find the variance of 2,6,8,6,10
16.
A
car dealer bought a second-hand car for N 250,000 and spent N7000 to repair.
What is his percentage gain if he sell the care for N350,000.
17.
Differentiate
(2X+5)2 (X-4) wrtx (17b)
If (4X3+2X)1/2 find dy/dx
18.
Evaluate
19.
A
flagpole and a building stand on the same horizontal level. From the point P at
the bottom of the building, the angle of elevation of the top T of the flagpole
is 650. From the top Q of the building the angle of elevation of the
point T is 250. If the building is 20m high calculate the:
(19a) Distance PT (19b) Distance
QT
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