Free Printable Maths and Physics Quiz

1.

Solve using factorisation:

$x^2\ +\ x\ +\ 1\ =\ 0$

a)

b)

$\left(x+1\right)\left(x-1\right)$

c)

$\left(x-1\right)\left(x^2\ +\ 1\right)$

d)

Both B and C

2.

A plane mirror, 2 ft square is hung vertically on one wall of a room with its lower edge 2ft from the floor and parallel to it. A man 6ft high stands facing the mirror at a perpendicular distance of 6ft from it. Find, what length of the floor of the room, directly in front and behind him he will be able to see.

a)

12ft

b)

13.47ft

c)

9ft

d)

None of these

3.

Solve using factorisation:

$x^2\ +\ 2x\ -\ a^2\ -\ \frac{1}{a^2}\ -\ 1$

a)

$\left(x\ +\ \frac{1}{a}\right)\left(x-\frac{1}{a}\right)$

b)

$\left(x\ +\ a\ +\ 1\right)\left(x\ -\ \frac{1}{a}\ +\ 1\right)$

c)

$\left(x-a+1+\frac{1}{a}\right)\left(x+a+\frac{1}{a}\right)$

d)

$\left(x\ +\ a\ +\ \frac{1}{a}\ +\ 1\right)\left(x-a-\frac{1}{a}+1\right)$

4.

A man stands on a vertical tower of height 20 metres. Calculate the distance upto which he wille be able to see on the surface of earth(neglect the height of the man).

a)

20km

b)

16km

c)

25km

d)

10km

5.

How many positive integers less than 1000 have the property that the sum of the digits of each such number is divisible by 7 and the number itself is divisible by 3?

a)

26

b)

28

c)

32

d)

27

6.

When a concave mirror is placed facing the sun, the sun rays converge to a point of 10 cm from the mirror. Now an erect 2cm long pin is placed 15 cm away on the principal axis of the mirror. If you want to get the image of the pin on a card, where would you place the card? What would be the height of the image?

a)

7.3cm

b)

2cm

c)

4cm

d)

8cm

7.

A contractor has two teams of workers: team A and team B. Team A can complete a job in 12 days and team B can do the same job in 36 days. Team A starts working on the job and team B joins team A after four days. The team A withdraws after two more days. For how many more days should team B work to complete the job?

a)

20 days

b)

16 days

c)

13 days

d)

7 days

8.

A liquid, whose density doesn't change during the

motion, is flowing steadily through a pipe of varying

cross-sectional area as shown in the given figure. If a1, a2 are the cross sectional areas, v1, v2 are the values of velocities(or speeds) at L and H respectively. Find the correct relation between a1, a2 and v1, v2.

a)

a1v2 = a2v1

b)

a1v1 = a2v2

c)

Both A and B

d)

None of these

9.

In a rectangle ABCD, E is the midpoint of AB; F is a point on AC such that BF is perpendicular to AC; and F E perpendicular to BD. Suppose BC = 8p3. Find AB

a)

22

b)

19

c)

24

d)

10

10.

The take-off speed of Airbus A340 is 288 km/hr. From the taxi track it comes to the main runway and waits for a while for the final clearance from Air Traffic Control. The aircraft then achieves this speed within 50 seconds, Neglecting the effect of the wind direction and friction, what should be the minimum length of main runway decided by civil engineers for this aircraft for a take-off?

a)

1800m

b)

2000m

c)

2200m

d)

2400m

Maths and Physics Quiz

Total questions: 10

Worksheet time: 29mins

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