List of top Mathematics Questions

Here are two different factor trees for 60. Write the missing numbers.
A number is divisible by 12. By what other numbers will that number be divisible?

Which of the following numbers are co-prime?

  1. 18 and 35
  2. 15 and 37
  3. 30 and 415
  4. 17 and 68
  5. 216 and 215
  6. 81 and 16
Write all the numbers less than 100 which are common multiples of 3 and 4.
Consider the following figure of line MN.Say whether following statements are true or false in context of the given figure.
Q, M, O, N, P are points on the line MN
(a) Q, M, O, N, P are points on the line MN. 
(b) M, O, N are points on a line segment MN. 
(c) M and N are end points of line segment MN. 
(d) O and N are end points of line segment OP. 
(e) M is one of the end points of line segment QO. 
(f) M is point on ray OP u ru . (g) Ray OP u ru is different from ray QP. 
(h) Ray OP u ru is same as ray OM.
(i) Ray OM u ruuu is not opposite to ray OP. 
(j) O is not an initial point of OP. 
(k) N is the initial point of NP u ruu and NM.

Draw a rough figure and label suitably in each of the following cases:
(a) Point P lies on AB.
(b) XY s ruu and PQ s ruu intersect at M.
(c) Line l contains E and F but not D.
(d) OP s ruu and OQ s ruu meet at O.

How many lines can pass through 
(a) one given point? 
(b) two given points?
lines can pass through (a) one given point
Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.
two letters at a time from
Use the figure to name : 
(a) Five points; 
(b) A-line 
(c) Four rays 
(d) Five line segments
Find the LCM of the following numbers in which one number is the factor of the other
1. 5, 20
2. 6, 18
3. 12, 48
4. 9, 45
What do you observe in the results obtained?
Find the LCM of the following numbers :
1. 9 and 4
2. 12 and 5
3. 6 and 5
4. 15 and 4
Observe a common property in the obtained LCMs. Is LCM the product of two numbers in each case?
Find the smallest 4-digit number which is divisible by 18, 24 and 32.
Find the least number which when divided by 6, 15 and 18 leave remainder 5 in each case.
The traffic lights at three different road crossings change after every 48 seconds, 72 seconds and 108 seconds respectively. If they change simultaneously at 7 a.m., at what time will they change simultaneously again?
Determine the greatest 3-digit number exactly divisible by 8, 10 and 12.
Determine the smallest 3-digit number which is exactly divisible by 6, 8 and 12.
Three boys step off together from the same spot. Their steps measure 63 cm, 70 cm and 77 cm respectively. What is the minimum distance each should cover so that all can cover the distance in complete steps?
Find the HCF of the following numbers :
1. 18, 48
2. 30, 42
3. 18, 60
4. 27, 63
5. 36, 84
6. 34, 102
7. 70, 105, 175
8. 91, 112, 49
9. 18, 54, 81
10. 12, 45, 75
I am the smallest number, having four different prime factors. Can you find me?
18 is divisible by both 2 and 3. It is also divisible by 2 × 3 = 6. Similarly, a number is divisible by both 4 and 6. Can we say that the number must also be divisible by 4 × 6 = 24? If not, give an example to justify your answer.
In which of the following expressions, prime factorisation has been done?

Find the common factors of :

1) 4, 8 and 12

2) 5, 15 and 25

Find the common factors of:

1) 20 and 28

2) 15 and 25

3) 35 and 50

4) 56 and 120

Write a digit in the blank space of each of the following numbers so that the number formed is divisible by 11:

1) 92 __ 389

2) 8 __ 9484

Write the smallest digit and the greatest digit in the blank space of each of the following numbers so that the number formed is divisible by 3 :
1.  __ 6724
2.  4765 __ 2