wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

KREIS PREPARATORY EXAM MATHEMATICS

Total questions: 40

Worksheet time: 40mins

Name
Class
Date
1.

In an A.P if a=28, d=-4 and n=7 then an=………………

a)

4

b)

5

c)

3

d)

7

2.

If the first term of an A.P is 2 and common difference is -3 then its nth term is …….

a)

2-3n

b)

3-2n

c)

-1-3n

d)

5-3n

3.

In an A.P an=2n-1 and an+1=2n+1. Its common difference is……………

a)

-2

b)

0

c)

1

d)

2

4.

If a, b, c is in A.P then correct relation from the following is……………….

a)

2b=a-c

b)

a+c=2b

c)

b=c-a

d)

b=a+c

5.

Sum of first n odd natural numbers is ……………….

a)

n2

b)

2n

c)

𝑛(𝑛+1) / 2

d)

n(n+1)

6.

If 𝒙 + 𝒚 = 𝟎 and 𝒙 − 𝒚 = 𝟔,then the values of x and y are respectively ………

a)

3 and 3

b)

3 and -3

c)

0 and 3

d)

-3 and 0

7.

If a pair of linear equations in two variables 𝟑𝒙 + 𝟐𝒚 = 𝟒 and 𝟔𝐱 − 𝐤𝐲 = 𝟖 have infinitely many solutions,then the value of k is………

a)

- 4

b)

4

c)

8

d)

1

8.

If a pair of linear equations in two variables is consistent then the lines represented

by two equations are …………

a)

Intersecting

b)

Parallel

c)

Always coincident

d)

Intersecting & Coincident

9.

The cost of 2 pens and 3 pencils is ₹ 45 and the cost of 3 pens and 4 pencils is ₹50.These can be represented in form of pair of equations as ………….

a)

3x+2y=45

3x+4y=50

b)

2x+3y=45

3x+4y= 50

c)

2x+y=45

3x + y=50

d)

2x+3y= 45

2x + 4y=50

10.

The length of tangent drawn to a circle of radius 5cm is 12 cm.Then the distance of external point to the centre of circle is……………

a)

7 cm

b)

17 cm

c)

14 cm

d)

13 cm

11.

In a circle, the angle between the tangent and the radius at the point of contact is….

a)

45O

b)

90O

c)

60O

d)

30O

12.

Maximum number of tangents drawn to a circle from an external point is…………

a)

1

b)

2

c)

3

d)

4

13.

If Δ𝐀𝐁𝐂~Δ𝐃𝐄𝐅,𝐁𝐂 = 𝟑𝐜𝐦, 𝐄𝐅 = 𝟒𝐜𝐦 and area of Δ𝐀𝐁𝐂 = 𝟓𝟒𝒄𝒎𝟐 then the area of Δ𝐃𝐄𝐅 is…………….

a)

25cm2

b)

96cm2

c)

100cm2

d)

108cm2

14.

In ΔPQR, if PQ=10cm, QR= 8cm and PR=6 cm then, ∠𝐑 = ………………...

a)

𝟒𝟓o

b)

𝟔𝟎o

c)

𝟖𝟎o

d)

𝟗𝟎o

15.

While constructing a pair of tangents a given circle such that, the angle between the tangents to be 60o, then the measure of angle between the radii to be taken is,

a)

90o

b)

30O

c)

180O

d)

120O

16.

The degree of a quadratic equation is …………….

a)

1

b)

3

c)

2

d)

4

17.

The discriminant of a quadratic equation is…………….

a)

b2-2ac

b)

b2-4ac

c)

b2-ac

d)

a2-4bc

18.

Quadratic equation among the following is ……………….

a)

x (x-1)=0

b)

2x+7=y

c)

x2-x(x+4) =0

d)

2(x-3) =0

19.

Standard form of a quadratic equation is…………….

a)

ax2+bx+c=0

b)

ax+bx2-c=0

c)

ax2+by+c=0

d)

bx2+c=a

20.

The product of two consecutive positive integers is 306. Its quadraticEquation form is………………….

a)

x2+x-306=0

b)

x2-x+306=0

c)

x2+x+306=0

d)

x2-x-306=0

21.

The distance between the points A(0, 5) and B(-5, 0) is………….

a)

5 units

b)

2√5 units

c)

5 √2 units

d)

√10 units

22.

Co-ordinates of the midpoint of the line joining points A (2, 3) and B (4, -1) is

a)

(1, 2)

b)

(3,1)

c)

(-1, 2)

d)

(-2, 4)

23.

Area of the triangle with vertices P(0, 6), Q(0,2) and R(2, 0) is…………

a)

4 square unit

b)

0

c)

8 square unit

d)

6 square unit.

24.

The ratio of the length of a tree and its shadow is 1:√3 , the angle of sun’s elevation is ………………….

a)

600

b)

450

c)

300

d)

900

25.

The ratio of Sinϴ is …………….

a)

𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑠𝑖𝑑𝑒 / ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒

b)

𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑠𝑖𝑑𝑒 / ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒

c)

ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 / 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑠𝑖𝑑𝑒

d)

𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒𝑠𝑖𝑑𝑒 / 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡𝑠𝑖𝑑𝑒

26.

The value of sin90o + cos 60o is ……………….

a)

1

b)

1/2

c)

2/3

d)

3/2

27.

Formula to calculate mode for grouped frequency distribution is ………………

a)
b)
c)
d)
28.

The midpoint of the class interval 5 – 25 is ………………

a)

5

b)

10

c)

15

d)

20

29.

If we join two hemispheres of same radius along their bases, then we get a;

a)

Cone

b)

Cylinder

c)

Sphere

d)

Cuboids

30.

If r is the radius of the sphere, then the surface area of the sphere is given By ……………………

a)

4 π r2

b)

2 π r2

c)

π r2

d)

4 / 3 π r2

31.

A wooden article is made by scooping out hemisphere from each end of the solid cylinder. The total surface area of the article is………………….

a)

2𝜋𝑟ℎ + 4𝜋𝑟2

b)

2𝜋rh + 𝜋𝑟2

c)

2𝜋𝑟ℎ + 2𝜋𝑟2

d)

2𝜋𝑟 (𝑟 + ℎ)

32.

If the slant height of a frustum of a cone is 4cm and radii of its two circular ends are 5cm and 2cm, then its curved surface area is ………………….

a)

88 𝑐𝑚2

b)

22𝑐𝑚2

c)

48 𝑐𝑚2

d)

108𝑐𝑚2

33.

In the figure, Δ𝐀𝐃𝐄 ~ Δ𝐀𝐁𝐂. If AE=10cm, BC=3.5cm and DE =7cm then AC= ………

a)

3.5 cm

b)

5cm

c)

7.5 cm

d)

10cm

34.

In Δ𝐀𝐁𝐂, if ∠𝐀𝐃𝐄 = ∠𝐀𝐁𝐂 as shown in figure.

Then CE = …………………

a)

4.5 cm

b)

3 cm

c)

5 cm

d)

6 cm

35.

In the figure,Δ 𝐴′ 𝐵𝐶′ is constructed similar to the

Δ𝐴𝐵𝐶 with the scale factor,

a)

4/5

b)

1/5

c)

5/4

d)

1/4

36.

In the given graph the length of ʻAPʼ is………………

a)

2 units

b)

5 units

c)

3 units

d)

4 units

37.

The coordinates of the point which divides the join of (𝑥1, 𝑦1) and (𝑥2, 𝑦2) in the ratio 𝑚1: 𝑚2internally, are …………………

a)
b)
c)
d)
38.

The median class of the above distribution is _____________

a)

20-30

b)

30-40

c)

40-50

d)

50-60

39.

If the following figure represents less than type of ogive then the median is _____________

a)

9.5

b)

19.5

c)

29.5

d)

39.5

40.

If 13 Sinθ = 12, then the value cosecθ is ________

a)

12 / 5

b)

13 / 5

c)

12 / 13

d)

13 / 12