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Question 1

Using divisibility test, determine which of the following numbers are divisible by 2; by 3; by 4; by 5; by 6; by 8; by 9; by 10; by 11. (Say yes or no)

Question 2 (f)

State whether the following statement is true or false:

Prime numbers do not have any factors.

Find the probability of getting an ace from a well-shuffled deck of 52 playing cards?

Simplify: √625- 8³√125 + ⁴√81 + 15⁵√32

Question 2(e)

Place commas correctly and write the numerals:
Twenty-three lakh thirty thousand ten.

Read the following sentences and choose the correct option.

The ship was manned by 20 sailors.

No man is immortal.

How it became 88=2x2x2x11=2(3)x11(1)(3+1)(1+1)=4x2=8

If the cost one pencil is Rs 2.40 then the cost of 10 such pencils is:

How many faces does a cuboid have?

If two lines l and m have only one common point P, then these two lines are called as __ lines.

We have 4 congruent equilateral triangles. What more do we need to make a pyramid?

Find HCF of following decimals

0.4, 0.6.

The product of $(7x-4x^2+2x^3-5)$ and $(3x-2)$ is

Which of the given expressions represents the pattern 1, 5, 9, 13, 17, .....?

Solve for y. 2y - 3 = 9

Question 7

Draw five triangles and measure their sides. Check in each case, if the sum of the lengths of any two sides is always greater than the third side.

Sunita is 40 years old and Anita is 20 years old. How many years ago was Sunita three times as old as Anita

Question 4 (c)

Study the diagram. The line $l$ is perpendicular to line $m$.

Identify any two line segments for which PE is the perpendicular bisector.

How many days does January month consist of?

In the given figure two parallel lines l,m are intersected by a tranversal. If $\angle 1={105}^{\circ }$ then $\angle 7$ and $\angle 8$ are

The solution of the quadratic equation: x² –5ix - 6 = 0

What must be subtracted from $4x^3-3x+5$ to get $2x^2-3x^3+5x-2$ ?

If $3\frac{p}{q}=\frac{11}{3}$, where $3\frac{p}{q}$ is a mixed fraction in which 3 is the whole number part and $\frac{p}{q}$ is the fractional part, then the value of $\frac{p}{q}$ is:

Three athletes A, B, C are participating in a racing event. They start running together. A takes 30 seconds to complete one round on the track, B takes 40 seconds and C takes 45 seconds. What is the minimum number of seconds after which will they all be at the same place again?

Question 4(b)

Find using distributive property:

$5437\times 1001$

The perimeter of a square is 124 cms. What is the length of its side?

A square park has side 7m. The cost of laying gass in the park at ₹ 10 per $m^2$ is ____.

39M2 ,What should be the least value of M so that it is divisible by 11 ?

The monthly salary of a person is ₹15,000 and his expenditure is ₹8000. Find the ratio of his savings to income.

Find the product: $(98\times 14)+(98\times 86)$

If the angles of a triangle are 30°, 30° and 120°, then the triangle is ___.

State the meaning of quantity demanded of a commodity

If x + y = 1 and x = 1/2 then y is

A factory site has 6 shifts of 4 hour each but the people demand the time of shift to be decreased to 3 hours and 30 minutes and a 30 min snack break in all the shifts. How many shifts have to be carried out to accommodate everything?

Which of these numbers is not a natural number?

What will be the sign of the product if we multiply 12 negative integers together? [1 MARK]

Find the perimeter and area of the shape given below: [3 MARKS]

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The multiplicative inverse of $\frac{1}{23}$ is ___.

If the cost of a book worth ₹50 is increased by ₹25, then the percentage increase in its price is _____ .

LCM of $15$ and $18$ is

Ravi and Rani started a business and invested money in the ratio 2 : 3. After one year the total profit was Rs 40,000. What are the shares of Ravi and Rani in the profit? [4 MARKS]

Choose like fractions from the following.

What is the difference between the Overall average marks of class A and class B in the 9 subjects?

If 500 grams of a gas occupies a volume of $100c{m}^3$, then its density is .

Two regular hexagons of perimeter $30cm$ each are joined as shown in the given figure. The perimeter of the new figure is

(a) $65cm$

(b) $60cm$

(c) $55cm$

(d) $50cm$

1. 9

Question 126 (a) (i)

Architects design many types of buildings. They draw plans for houses, such as the plan shown in the following figure.

An architect wants to install a decorative moulding around the ceilings in the rooms. The decorative moulding costs Rs. 500/ meter.

Find how much moulding will be needed for the family room.

Half a metre is ______.