Free Printable MATH 10TH

1.

The 10th term of the AP: 5, 8, 11, 14, ... is

a)

32

b)

35

c)

38

d)

185

2.

In an AP, if d = –4, n = 7, an

= 4, then a is..

a)

6

b)

7

c)

20

d)

28

3.

The 21st term of the AP whose first two terms are –3 and 4 is

a)

17

b)

137

c)

143

d)

-143

4.

If the common difference of an AP is 5, then what is 18 13 a a – ?

a)

5

b)

20

c)

25

d)

30

5.

What is the common difference of an AP in which a18 – a14 = 32?

a)

4

b)

– 8

c)

4

d)

8

6.

The famous mathematician associated with finding the sum of the first 100 natu-

ral numbers is

a)

Euclid

b)

Gauss

c)

Newton

d)

Pythagoras

7.

The sum of first five multiples of 3 is

a)

45

b)

65

c)

55

d)

75

8.

The sum of first 16 terms of the AP: 10, 6, 2,... is

a)

–320

b)

320

c)

–352

d)

–400

9.

Two APs have the same common difference. The first term of one of these is

–1 and that of the other is – 8. Then the difference between their 4th terms is

a)

–1

b)

– 8

c)

7

d)

–9

10.

Which term of the AP: 21, 42, 63, 84,... is 210?

a)

9th

b)

10th

c)

11th

d)

12th

11.

All circles are

a)

similar

b)

congruent

c)

both similar and congruent

d)

none of these

12.

All _____ triangles are similar

a)

scalene

b)

isosceles

c)

equilateral

d)

right angled

13.

If a line divides any two sides of a triangle in the same ratio then the line is_____ to the third side

a)

equal

b)

parallel

c)

intersecting

d)

coinciding

14.

in the fig, if DE ll BC then find the value of AD

a)

16

b)

8

c)

4

d)

32

15.

In the fig, DE ll BC. find the value of EC

a)

4

b)

18

c)

12

d)

16

16.

The mathematician who proposed basic proportionality theorem

a)

Pythagoras

b)

thales

c)

euclid

d)

Aryabhatta

17.

Two poles of height 9 m and 15 m stand vertically upright on a plain ground, if the distance between their tops is 10 m then the distance between their foot is

a)

9 m

b)

7 m

c)

8 m

d)

6 m

18.

\Delta ABC

is an isosceles triangle in which

\angle C=90\degree

. If AC =6 cm, AB=

a)

6 $\sqrt{2}$ cm

b)

6 cm

c)

2 $\sqrt{6}$ cm

d)

4 $\sqrt{2}$ cm

19.

In an isosceles triangle ABC, if AB=AC=25 cm and BC=14 cm, then the measure of altitude from A on BC is

a)

20 cm

b)

22 cm

c)

18 cm

d)

24 cm

20.

The length of hypotenuse of an isosceles right triangle whose one side is 4 $\sqrt{2}$ cm is

a)

12cm

b)

8cm

c)

8 $\sqrt{2}$ cm

d)

12 $\sqrt{2}$ cm

21.

Susan invested certain amount of money in two schemes A and B, which offer interest at the rate of 8% per annum and 9% per annum, respectively. She received Rs 1860 as annual interest. However, had she interchanged the amount of investments in the two schemes, she would have received Rs 20 more as annual interest. How much money did she invest in each scheme?

a)

Rs 1200 in scheme A, Rs 1000 in scheme B

b)

Rs 12000 in scheme A, Rs 10000 in scheme B

c)

Rs 1200 in scheme A, Rs 10000 in scheme B

d)

Rs 12000 in scheme A, Rs 1000 in scheme B

22.

A shopkeeper sells a saree at 8% profit and a sweater at 10% discount, thereby, getting a sum Rs 1008. If she had sold the saree at 10% profit and the sweater at 8% discount, she would have got Rs 1028. Find the cost price of the saree and the list price (price before discount) of the sweater

a)

Rs 60, Rs 40

b)

Rs 600, Rs 40

c)

Rs 60, Rs 400

d)

Rs 600, Rs 400

23.

A railway half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class ticket from the station A to B costs Rs 2530. Also, one reserved first class ticket and one reserved first class half ticket from A to B costs Rs 3810. Find the full first class fare from station A to B, and also the reservation charges for a ticket.

a)

Rs 2500, Rs 30

b)

Rs 250, Rs 30

c)

Rs 2500, Rs 3

d)

Rs 25, Rs 30

24.

A two-digit number is obtained by either multiplying the sum of the digits by 8 and then subtracting 5 or by multiplying the difference of the digits by 16 and then adding 3. Find the number.

(a)

25.

A motor boat can travel 30 km upstream and 28 km downstream in 7 hours. It can travel 21 km upstream and return in 5 hours. Find the speed of the boat in still water and the speed of the stream.

a)

1 km/h, 4 km/h

b)

10 km/h, 40 km/h

c)

10 km/h, 4 km/h

d)

100 km/h, 4 km/h

26.

A person, rowing at the rate of 5 km/h in still water, takes thrice as much time in going 40 km upstream as in going 40 km downstream. Find the speed of the stream.

(a)

27.

Ankita travels 14 km to her home partly by rickshaw and partly by bus. She takes half an hour if she travels 2 km by rickshaw, and the remaining distance by bus.On the other hand, if she travels 4 km by rickshaw and the remaining distance by bus, she takes 9 minutes longer. Find the speed of the rickshaw and of the bus.

a)

1 km/h, 40 km/h

b)

10 km/h, 400 km/h

c)

10 km/h, 40 km/h

d)

100 km/h, 40 km/h

28.

Determine, algebraically, the vertices of the triangle formed by the lines 3x– y = 3, 2x –3 y =2, x+2 y = 8

a)

(1, 1), (2, 3), (4, 2)

b)

(1, 0), (2, 3), (4, 2)

c)

(1, 0), (2, 2), (4, 2)

d)

(1, 0), (2, 3), (4, 1)

29.

The cost of 4 pens and 4 pencil boxes is Rs 100. Three times the cost of a pen is Rs 15 more than the cost of a pencil box. Form the pair of linear equations for the above situation. Find the cost of a pen and a pencil box.

a)

Rs 100, Rs 15

b)

Rs 10, Rs 10

c)

Rs 15, Rs 15

d)

Rs 10, Rs 15

30.

The following lines are :
y = 3x + 7
y = 3x - 5

a)

parallel

b)

perpendicular

c)

neither

d)

intersect

31.

which of the following expressions are polynomial

a)

4x²+5x-2

b)

y²-8

c)

5

d)

all above

32.

The variable in the polynomial p(x)=3xyz

a)

x

b)

y

c)

z

d)

x,y,z

33.

Number of terms in a polynomial p(x)=x³-4x+2 is

a)

1

b)

4

c)

2

d)

3

34.

The degree of the polynomial p(x)= x⁶-3x⁷+8x+5

a)

6

b)

7

c)

5

d)

8

35.

The constant term of the polynomial p(x)= x⁶-3x⁷+8x⁵+4x-5 is

a)

1

b)

-3

c)

8

d)

-5

36.

The co-efficient of x³ in the polynomial p(x)= 2-x³+x²

a)

2

b)

-1

c)

1

d)

3

37.

x²+x+4 is a

a)

Quadratic polynomial

b)

cubic polinomial

c)

linear polinomial

d)

simple polynomial

38.

2x+1 is

a)

linear polynomial

b)

quadratic polynomial

c)

cubic polynomial

d)

none of these

39.

x-x³ is a

a)

linear polynomial

b)

binomial

c)

cubic polynomial

d)

quadratic polynomial

40.

If p(x)= 2x+1 then p(0)=

a)

2

b)

1

c)

3

d)

0

41.

Solve:
2(a + 4) = 2a - 8 + 4a

a)

3

b)

-3

c)

-4

d)

4

42.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, -1)

d)

(5, 20)

43.

Solve by elimination:
4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

44.

Select the graph for y > -2x - 3

a)

A

b)

B

c)

C

d)

D

45.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

46.

Which function is graphed?

a)

f(x) = 2|x + 2| -4

b)

f(x) = 2|x - 4| + 2

c)

f(x) = |x + 2| - 4

d)

f(x) = -2|x - 4|

47.

What is the vertex of y= x²- 8x + 14 ?

a)

(2, 4)

b)

(-4, -2)

c)

(4, -2)

d)

(-2, 4)

48.

a)

A

b)

B

c)

C

d)

D

49.

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

a)

y=15x

b)

y=15x+80

c)

y=x+15

d)

y=80x+15

50.

Solve:

2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

51.

HCF OF (2¹²⁵-2¹⁵) is ?

a)

9

b)

31

c)

7

d)

8

52.

Solve for x and y if 2ˣ+5ʸ=33

a)

x=3 , y=2

b)

x=2 , y=3

c)

x=-3 , y=-2

53.

if 1 is a zero of the polynomial ax²-3(a-1)-1 then find the value of 'a'

a)

-1

b)

1

c)

2

d)

4

54.

What is the sum of the reciprocal of the roots of the equation x²-7x+12=0

a)

-12/7

b)

7/12

c)

12/7

d)

7/20

55.

In the figure find AB/AC

a)

3/5

b)

5/4

c)

5/3

d)

53

56.

Find the value of acute angle B if A=30° and sinA =CosB

a)

60°

b)

30°

c)

Other

d)

-60°

57.

Find the value of (PR+OR)

a)

17cm

b)

16cm

c)

15cm

d)

14cm

58.

Find x if the mode of the given data is 29:

27,16, x+10 , 23 , 29 , 27 , 31 , 29

a)

x=19

b)

x=-18

c)

x=18

d)

x=-19

59.

Find the area of the shaded region .

a)

-77m²

b)

770²m

c)

770m²

d)

77³

60.

What is the value of 5∅, if tan 2∅=cot3∅?

a)

99³

b)

-90°

c)

-99²

d)

90°

61.

You can determine a function rule for a parabola with its vertex at the origin by substituting x and y values for any other point on the parabola into g (x) = ax^2 and solving for a. Do that for the parabola showed.

a)

$f\left(x\right)=-2x^2$

b)

$f\left(x\right)=-8x^2$

c)

$f\left(x\right)=2x^2$

d)

$f\left(x\right)=8x^2$

e)

Two options from those above

62.

$d\left(t\right)=-2t^2$

In your book, this function shown models the depth in yards below the water’s surface of a dolphin before and after it rises to take a breath and descends again. If we want to move the entire graphic to the right four units, what the equation would be then?

a)

$d\left(t\right)=-2t^2+4$

b)

$d\left(t\right)=-2\left(t-4\right)^2$

c)

$d\left(t\right)=-2\left(t+4\right)^2$

d)

$d\left(t\right)=\left(-2+4\right)t^2$

63.

Compare the given graph to the graph of the parent function ƒ (x) = x^2 . Describe how the parent function must be translated to get the graph shown here.

a)

The graph has been translated 3 units to the left and 2 units down.

b)

The graph has been translated 2 units to the left and 3 units down.

c)

The graph has been translated 3 units to the right and 2 units up.

d)

The graph has been translated 2 units to the right and 3 units up.

64.

Determine which functions represented by each equation are quadratic.

a)

1

b)

3

c)

4

d)

6

e)

8

65.

Use the values table to write a quadratic function in vertex form, y = a (x - h)^2 + k.

a)

$y=2\left(x-6\right)^2-8$

b)

$y=2\left(x-6\right)^2+8$

c)

$y=2x^2$

d)

$y=2\left(x-8\right)^2-6$

66.

A bird is in a tree 76 feet off the ground and drops a twig that lands on a rosebush 12 feet below. The function h (t) = -16t^2 + 76, where t represents the time in seconds, gives the height h, in feet, of the twig above the ground as it falls. When will the twig land on the bush?

a)

0 seconds

b)

1 seconds

c)

2 seconds

d)

3 seconds

e)

least than 4 seconds

67.

A trampolinist steps off from 15 feet above ground to a trampoline 13 feet below. The function h (t) = -16t^2 + 15, where t represents the time in seconds, gives the height h, in feet, of the trampolinist above the ground as he falls. When will the trampolinist land on the trampoline?

a)

0.2 seconds

b)

0.4 seconds

c)

0.6 seconds

d)

0.8 seconds

68.

a)

y= 5x^2 -10

b)

y=5x^2-x-2

c)

y=5x^2-5x-2

d)

y=5x^2 -5x -10

e)

none of above

69.

a)

15 and 17

b)

15 and -17

c)

-15 and 17

d)

-15 and -17

e)

none of the above

70.

Write a quadratic equation openning up and intercepting the x-axes in -5 and 5

4 lines

71.

What is the largest number that divides each one of 1152 and 1664 exactly

a)

32

b)

64

c)

128

d)

256

72.

For some positive integer m, every positive even integer is of the form

a)

m-1

b)

m+1

c)

2m

d)

2m+1

73.

The product of two numbers is 1600 and their HCF is 5. The LCM of the numbers is

a)

8000

b)

1600

c)

320

d)

1605

74.

A positive integer n when divided by 9, gives 7 as a remainder. What will be the remainder when (3n-1) is divided by 9

a)

1

b)

2

c)

3

d)

4

75.

NAME THE QUIZZ CREATOR

a)

MOHAMMED MUJEEB AHMED

b)

MOKTHAR AHMED

c)

RAFIQ AHMED

76.

The zeros of the polynomial (x)^1/2 -2x - 3

a)

-3,1

b)

-3,-1

c)

3,-1

d)

3,1

MATH 10TH

Total questions: 76

Worksheet time: 3hrs 17mins

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