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Question 1(c)

Answer the following:

A rectangular box has height h cm. Its length is 5 times the height and breadth is 10 cm less than the length. Express the length and the breadth of the box in terms of the height.

In the following figure, the face opposite to the face ADSR is:

Question 10(a)

By splitting the figure into rectangles, find the area of the figure. (The measures are given in centimetres)

What is the fraction of unshaded region in the given figure?

45 minutes = ____ $\%$ of 1 hour.

How do we check if 87 is divisible by 3?

HCF (16,256) = 16, then the LCM (16,256) = ____ .

A
man wants to cut three lengths from a single piece of board of length
91 cm. The second length is to be 3 cm longer than the shortest and
the third length is to be twice as long as the shortest. What are the
possible lengths of the shortest board if the third piece is to be at
least 5 cm longer than the second?

[Hint:
If x
is the length of the shortest board, then x,
(x
+ 3) and 2x
are the lengths of the second and third piece, respectively. Thus, x
= (x
+
3) + 2x
≤
91 and 2x
≥
(x
+
3) + 5]

Question 57

What is common in the following figures (i) and (ii)?

Is figure (i) that of triangle? If not, why?

A rectangular tank of length 41 m and height 61 m contains 83,00,000 litres of water. What is the breadth of the rectangular tank?

Arrange the following numbers in descending order using decimals:



$\frac{4}{10}$, $\frac{6}{20}$, $\text{and}$ $\frac{31}{50}$

Every factor of a number is an exact ___ of that number.

Using suitable properties, find the value of following:

Simplify:

a) $126\times 55+126\times 45$

b) $89\times 48$

c) $49\times 12$
[3 MARKS]

Statements:

Some years are months.

All months are days.

Conclusions:

I. Some days are not years.

II. All days are years.

1. 27

Question 21

State whether the given statements are true (T) or false (F).

$27c{m}^2:57c{m}^2=18cm:38cm$

Question 84

In an election, the votes cast for two of the candidates were in the ratio 5:7. If the successful candidates received 20734 votes, how many votes did his opponents receive?

The prime factorisation of 54 is :

The dimensional representation of Planck’s constant is identical to that of

Which of the following does not have a line of symmetry?

Question 16

Out of the given four options, only one is correct. Write the correct answer.

The number of lines of symmetry in a ${30}^0-{60}^0-{90}^0$ set square is

(a) 0 (b) 1 (c) 2 (d) 3

A man can row a boat at $4\text{km/hr}$ in still water. If he is travelling in a river where the current is $2\text{km/hr}$, how long will it take him to row $6\text{km}$ upstream and then back to his starting point ?

In a quadrilateral ABCD,LA=150 and LB=LC=LD,f finLB,LC, AND LD

Question 1

Only one of the four options is correct. Write the correct one.

The ratio of 8 books to 20 books is

a) 2 : 5

b) 5 : 2

c) 4 : 5

d) 5 : 4

Maggie, Kate and Sam's start runing around a circular track togeather and they complete 1 revolution in 2, 4 and 6 hours respectively. When will they all meet again?

Ronny scored $352.65$ marks out of $500$ in the final examination. How many marks did he lose?

Question 119.
Nasir travelled $3\frac{1}{2}$ km in a bus and then walked $1\frac{1}{8}$ km to reach a town.
How much did he travel to reach the town?

Question 42

In the following question, fill in the blanks to make the statements true.

$Bymultiplying\left(10{)}^{5}by\right(10{)}^{-10},weget$ ___

Solve the equation below:

$4x-3=2x+3$