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Math Quiz Prelims

Total questions: 15

Worksheet time: 10mins

Name
Class
Date
1.

In an arithmetic sequence, a2=9 and a8=21. Find the first term and the common difference.

a)

a1= 7; d=2

b)

a1= 11; d=-2

c)

a1= 9; d=2

d)

a1= 9; d=-2

2.

The total seating capacity of an auditorium is 1065. The first row has 21 seats and each row has one seat more than the row in front of it. How many rows of seats are there in the auditorium?

a)

25

b)

30

c)

35

d)

40

3.

Rob runs 10km an hour, if he participated the marathon (46km), how many hours would he need to use?

a)

4.06

b)

3.96

c)

4.6

d)

4.60

4.

7. The sum of curved surface area of glass having radii 3 cm and 4 cm respectively and slant height 10 cm is

a)

55

b)

110

c)

220

d)

440

5.

How many bags of grain can be stored in a cuboid granary 12 m × 6 m × 5 m. If each bag occupies a space of 0.48 m3m^3  

a)

750

b)

75

c)

1500

d)

375

6.
One leg of a right triangle is seven more than the other leg. The hypotenuse is eight more than the shorter leg. Find the lengths of the longest side.
a)
5 ft
b)
3 ft
c)
12 ft
d)
13 ft
7.

solution of the quadratic equation 2x2 7x 15 =0 2x^2\ -7x\ -15\ =0\   is

a)

x =5,   x=3x\ =5,\ \ \ x=-3  

b)

x = 5,    x =3x\ =\ -5,\ \ \ \ x\ =3  

c)

x = 5  , x =32x\ =\ 5\ \ ,\ x\ =-\frac{3}{2}  

d)

 x = 5 , x = 32\ x\ =\ -5\ ,\ x\ =\ \frac{3}{2}  

8.

Mean of 36 observations is 12. One observation 47 was misread as 74. Find the correct mean

Answer.

a)

11.20

b)

11.25

c)

15

d)

16

9.

Probabiility of getting neither ace nor jack when one card is drawn at random from a well shuffled deck of 52 cards is___

a)

12/13

b)

33/52

c)

2/23

d)

11/13

10.

A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of EQUAL SIZE, what is the area of the YELLOW SECTOR?

a)

3.3 ft2

b)

4.5 ft2

c)

6.3 ft2

d)

7.1 ft2

11.

a)

a

b)

b

c)

c

d)

d

12.

a)

10,880

b)

9,800

c)

11,240

d)

16,200

13.

What is the value of f(b)f(a)ba\frac{f\left(b\right)-f\left(a\right)}{b-a} , if  f(x)=3ax+b?f\left(x\right)=3ax+b?   


a)

0

b)

a

c)

b

d)

3a

14.

Find the domain of the function
f(x)=x+6x2x12f\left(x\right)=\frac{x+6}{x^2-x-12}  


a)

x0, 1x\ne0,\ 1  

b)

x1, 2x\ne1,\ 2  

c)

x3, 4x\ne-3,\ 4  

d)

x4, 5x\ne4,\ 5  

15.
a)

(1)

b)

(2)

c)

(3)

d)

(4)