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MATHEMATICS POST UTME

MATHEMATICS POST UTME

BIOLOGY POST UTME/POST JAMB

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Category: MATHEMATICS POST UTME

In a survey of villagers, it is found that 20% of the people have visited Kano and 25% have visited Port Harcourt. If 5% have been to both cities, then the percentage that have visited neither Kano nor Port Harcourt is

50%

75%

60%

65%

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Category: MATHEMATICS POST UTME

The roof of a shelter is made from a piece of corrugated iron 2.3m long inclined at 18º to the horizontal. How far from the wall does the roof stick out?

1.2m

2.2m

1.1m

0.7m

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Category: MATHEMATICS POST UTME

What is sin 30 $^{\circ}$ ?

0.866

1/2

3/2

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Category: MATHEMATICS POST UTME

No of children: 0, 1, 2, 3, 4, 5, 6
No of families: 7, 11, 6, 7, 7, 5, 3
Find the mode and median respectively of the distribution above.

1, 2

1, 6

1, 1

3, 1

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Category: MATHEMATICS POST UTME

Paul and his friend, Peter went to buy an article costing ₦600. Peter had 10% of the cost and Paul, 40% of the remainder. How much did they have altogether?

₦276

₦196

₦440

₦320

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Category: MATHEMATICS POST UTME

A class of all possible subsets of space S is called

alpha - field

probability space

Universal set

sample space

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Category: MATHEMATICS POST UTME

The lengths of the sides of a right-angled triangle are ym, (3y - 1)m and (3y + 1)m, find y.

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Category: MATHEMATICS POST UTME

In an arithmetic sequence whose 4th term is 14 and whose 11th term is 70, the sum of the first 12 terms of the sequence is

468

456

408

330

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Category: MATHEMATICS POST UTME

In an arithmetic sequence with 25 terms, if the first term is 60 and last term is -12, the sum of the terms of the sequence is

900

1800

2400

600

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Category: MATHEMATICS POST UTME

Statistics is a set of tools whose proper use will _______ the decision maker.

Confuse

Completely fill the needs of

Encumber

Aid

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Category: MATHEMATICS POST UTME

What is the sum of the first 40 even positive integers?

1,640

1,560

1,600

820

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Category: MATHEMATICS POST UTME

The length of a rectangle is three times its width. If the perimeter is 72 cm, the width of the rectangle is

10cm

6cm

9cm

8cm

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Category: MATHEMATICS POST UTME

A is the point (1, 5), B is the point (4, 7) and C is the point (5, 2). Triangle ABC is

Right-angle

Equilateral

Scalene with no right angle

Isosceles

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Category: MATHEMATICS POST UTME

At what value of x is the function y = x² - 6x - 7 minimum?

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Category: MATHEMATICS POST UTME

Find the distance between points A(-4, 5) and B(-3, 2).

2√5

√10

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Category: MATHEMATICS POST UTME

If 35 is the median of the data set including 21, 7, 45, 33, 62 and x, then x =

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Category: MATHEMATICS POST UTME

The heights in cm, of 10 children are 145, 163, 159, 162, 167, 149, 150, 160, 170, and 155. The standard deviation of the heights of the children is

5.5cm

5.7cm

6.5cm

7.7cm

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Category: MATHEMATICS POST UTME

What is the length of an arc of a circle with a radius of 5 if it subtends an angle of 60° at the center?

2.62

5.24

3.14

10.48

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Category: MATHEMATICS POST UTME

If x and y represent the mean and the median respectively of the following marks of students in a Mathematics test; 11, 12, 13, 14, 15, 16, 17, 18, 19, 21. Find x/y correct to 1 decimal place.

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Category: MATHEMATICS POST UTME

P is the point (2, 7) and Q is the point (6, 3). What is the gradient of PQ?

-0.5

0.5

-1

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Category: MATHEMATICS POST UTME

_________ are used when you want to visually examine the relationship between two quantitative variables.

a Pie graphs

a Line graphs

a Scatterplots

Bar graphs

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Category: MATHEMATICS POST UTME

If x and y are two real numbers such that 3x + 2y = 5 and 5x + 4y = 9, then 4x + 3y =

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Category: MATHEMATICS POST UTME

Find the equation of the line through (5,7) parallel to the line 7x + 5y - 5 = 0.

5x + 7y = 110

y + 5x = 70

5y + 7x = 70

7x + 5y = 7

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Category: MATHEMATICS POST UTME

If un = 2, 6, 10, ..., the last tem of the sequence is 90. The number of terms in the sequence is

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Category: MATHEMATICS POST UTME

The ______ is the value you calculate when you want the arithmetic average.

Mode

All of the above

Mean

Median

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Category: MATHEMATICS POST UTME

If y = 5cos(-6x), dx/dy is

30sin(-6x)

-30cos(-6x)

-30sin(-6x)

5sin(-6x)

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Category: MATHEMATICS POST UTME

The chances of three independent events P, Q, R occurring are $\frac{1}{2}$ , $\frac{2}{3}$ , $\frac{1}{4}$ respectively. What are the chances of P and Q only occurring?

2/9

1/2

2/3

1/4

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Category: MATHEMATICS POST UTME

The graph of cumulative frequency distribution is called

Frequency curve

Step function

Ogive

Frequency distribution curve

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Category: MATHEMATICS POST UTME

In an arithmetic sequence whose 4th term is 14 and whose 11th term is 70, the first term and common difference are

a = 10, d = 8

a =-14, d = 7

a = -7, d = 7

a = -10, d = 8

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Category: MATHEMATICS POST UTME

Two dice are thrown. What is the probability that the sum of the two numbers obtained is greater than 10?

1/6

1/4

1/36

1/12

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Category: MATHEMATICS POST UTME

The line y = 5x – 3 and y = 2x + 9 intersects at P. What are the coordinates of P?

(2, 13)

(4, 17)

(2, 7)

(-4,-23)

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Category: MATHEMATICS POST UTME

Three consecutive positive integers a, b and c are such that b² = 4(a + c). Find the value of c.

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Category: MATHEMATICS POST UTME

The sum of the first 20 terms of the progression 3, 6, 12, ... is

3(220 - 1)

3(221 - 1)

3(221 + 1)

3(220 + 1)

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Category: MATHEMATICS POST UTME

The most frequently occurring number in a set of values is called the ______.

Mean

Mode

Median

Range

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Category: MATHEMATICS POST UTME

If x = 2, then (x - 1)(2x - 3) =

-1

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Category: MATHEMATICS POST UTME

Divide the L.C.M. of 36, 54 and 90 by their HCF.

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Category: MATHEMATICS POST UTME

Which of these is a measure of location?

Mean

Variance

All of the above

Standard deviation

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Category: MATHEMATICS POST UTME

A frustum of a pyramid is 3cm square at the top and 6cm square at the bottom and is 5cm high. The volume in cm³ of the frustum is

115

150

105

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Category: MATHEMATICS POST UTME

Given the list of numbers {1, 6, 3, 9, 16, 11, 2, 9, 5, 7, 12, 13, 8}, what is the median?

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Category: MATHEMATICS POST UTME

AAUA allocations to various faculties in a school budget are as follows:

Science: ₦35,000,000.00
Education: ₦25,000,000.00
Law: ₦20,000,000.00
Social and Management: ₦20,000,000.00.
In a pie chart to represent this information, the corresponding angle to science is

90°

45°

126°

100°

Your score is

MATHEMATICS POST UTME QUESTIONS & ANSWERS

MATHEMATICS POST UTME

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