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MATHEMATICS POST UTME

MATHEMATICS POST UTME

BIOLOGY POST UTME/POST JAMB

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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 mean height of the children is

160cm

158cm

156cm

162cm

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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

6.5cm

5.5cm

7.7cm

5.7cm

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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

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

-3

-2

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Category: MATHEMATICS POST UTME

Which of the following is the formula for range?

L x H

H + L

L – H

H – L

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Category: MATHEMATICS POST UTME

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

-30cos(-6x)

5sin(-6x)

-30sin(-6x)

30sin(-6x)

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Category: MATHEMATICS POST UTME

If un = 2, 6, 10, ..., the sum of the terms of the sequence above is

1012

968

1104

1058

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Category: MATHEMATICS POST UTME

A dealer increased the price of an item by 20%, and then increased the price of the same item by 30%. If x is the original price, what is the price after the two increases?

x + 0.56

1.5 x

1.56 x

x + 0.5

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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

Find the sum to infinity of the following series 3 + 2 + 4 + 4/3 + 8/9 + 16/27 + ......

270

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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

Mr. Robson bought bags of orange for ₦2,500 each. He sold them for ₦90,000 at a loss of 20%. How many bags of orange did he buy?

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Category: MATHEMATICS POST UTME

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

√10

2√5

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Category: MATHEMATICS POST UTME

P is the point (3, 5). Q is the point (-1, 9). R is the midpoint of PQ. Which one of the following lines does R lie on?

y = x - 6

y = x - 8

y = x + 6

y = x + 8

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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

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

1/4

1/6

1/12

1/36

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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

A chord 6.6m long is 5.6m from the centre of a circle. The radius of the circle is

3.2m

1.6m

6.5m

6.3m

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Category: MATHEMATICS POST UTME

In a class, 120 students speak English or French or both. 70 speak English and 55 speak French. How many speak English but not French?

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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

9cm

8cm

6cm

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Category: MATHEMATICS POST UTME

One of these is a demerit of a sample

Results obtained from sample are oftentimes as informative as those from a censor

It is cheaper to enumerate a sample

None of the above

It is faster to survey a sample

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Category: MATHEMATICS POST UTME

Ann goes swimming regularly. She wants to improve her fitness, so she decides to swim 10 lengths in the first session and increase the number of lengths she swims by 2 every session. When she reaches 50 lengths in a session she will not increase the number any further. After how many sessions does Ann swim 50 lengths for the first time?

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Category: MATHEMATICS POST UTME

The graph of cumulative frequency distribution is called

Ogive

Frequency distribution curve

Frequency curve

Step function

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Category: MATHEMATICS POST UTME

The _______ is often the preferred measure of central tendency if the data are severely skewed.

Mode

Mean

Median

Range

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Category: MATHEMATICS POST UTME

Which of the following points does not lie on the line 2y + 5x -4 = 0?

(0.8, 0)

(2, 3)

(0, 2)

(1,-0.5)

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Category: MATHEMATICS POST UTME

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

1,600

1,640

820

1,560

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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?

10.48

2.62

3.14

5.24

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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?

(-4,-23)

(4, 17)

(2, 7)

(2, 13)

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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

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

₦320

₦440

₦196

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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

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

126°

100°

90°

45°

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Category: MATHEMATICS POST UTME

Rationalize $\frac{(4 \sqrt{7} + \sqrt{2})}{(\sqrt{2} - 7)}$

-√14 - 6

3√14 - 28

2√14 - 6

√14 - 8

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Category: MATHEMATICS POST UTME

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

3/2

1/2

0.866

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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 =-14, d = 7

a = 10, d = 8

a = -7, d = 7

a = -10, d = 8

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Category: MATHEMATICS POST UTME

Find all the values of $x$ satisfying the inequality $- 14 \leq 4 - 3 x \leq 31$

− 9 ≤ x ≤ 6

5 ≤ x ≤ 8

− 6 ≤ x ≤ 9

6 ≤ x ≤ 2

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Category: MATHEMATICS POST UTME

Justice starts a 5km walk from P on a bearing 0230. He then walks 4km on a bearing of 1130 to Q. What is the bearing of Q from P?

90.4°

23°

113°

67.4°

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Category: MATHEMATICS POST UTME

A rectangular box with a square base and no top has a volume of 500 cm, the dimensions of the box that require the least amount of material are

25 × 10 × 2

10 × 10 × 5cm

4 × 5 × 25cm

50 × 5 × 2cm

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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

2400

1800

600

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Category: MATHEMATICS POST UTME

What is the slope of the line that is perpendicular to y - 2x = 1?

-2

1/2

-1/2

Your score is

MATHEMATICS POST UTME QUESTIONS & ANSWERS

MATHEMATICS POST UTME

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