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Question 6(a):

Consider the following figure of line $\overleftrightarrow{MN}$. Say whether following statement is true or false in the context of the given figure:



Q, M, O, N, P are points on the line $\overleftrightarrow{MN}$

Pick the correct option.

Arrange the following integers in ascending order:

-1, -11, 111, -111, 11, 0, 1

Which is the biggest number?
$0.6$, $0.25$, $0.52$, $0.81$

Find the mean proportion of 40 and 90

In the figure, the colour becomes darker

Find the least number which when divided by 6,15,18 leave the remainder 5 in each case.

Question 113

Fill in the blank to make the statement true.
The smallest whole number is .............

How many small cuboids with dimensions 20cm $\times$ 25cm $\times$&;40cm each can be just accommodated in a cubical box of 2m edge?

Suppose one makes a survey of 20 families in the colony and find out the number of children in each family. The number of children in each family are 2, 2, 2, 3, 1, 1, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 1, 1, 3, 2 .State the frequency of each observation and also draw the tally chart. [3 MARKS]

A triangle whose two angles measure ${25}^{\circ }$ and ${35}^{\circ }$ is ___ triangle.

How many lines of symmetry are possible for an octagon? Show it with a diagram. [3 MARKS]

Express 30% of 30 as a fraction.

624 is completely divisible by:

what is the share of B if we divide Rs. 4500 between A and B in the ratio 1:2 ?

In a right angled $△ABC$, right-angled at B, $\angle A+\angle C$ =

Question 5

Write the smallest 5-digit number and express it in terms of its prime factors.

A 45-45-90 set square is ____.

There are four children A, B, C and D. A has 6 chocolates, B has 7 chocolates, C has 8 chocolates and D has 10 chocolates. Which of these children has the number of chocolates closest to the mean?

Given the sides of a quadrilateral are of equal length and each of its angles measures the same which is when the minute hand moves from 3 to 6. Find the angle between the diagonals. [3 MARKS]

Write correct sequence of the following steps to draw perpendicular bisector of a line AB.

a. Join XY to cut AB at O. XY is called the perpendicular bisector of AB.

b. To construct the perpendicular bisector of the line segment AB, we first take A and then B as centre and radius greater than half of AB.

c. Draw arcs above and below AB such that the arcs cut each other at X and Y.

Question 4(b) :

Look at the figures and write ‘<’ or ‘>’ between the given pairs of fractions:

$\frac{3}{4}\square \frac{2}{6}$

Question 5 (e)

Express the following as kg using decimals:

26 kg 50 g

The measures of all the angles in the given figure is

In plants, maximum number of chromosomes (2n = 1262) are found in

Question 24

The distance (in km) travelled in h hours at a constant speed of 40 km per hour is ___.

Which of the following have both line symmetry and rotational symmetry?

Question 105.
Mr. Rajan got a job at the age of 24 yr and he got retired from the job at the age of 60 yr. What fraction of his age till retirement was he in the job?

1. 7

Split the below figures into multiple rectangles and find out their area. All dimensions are given in centimetres. [4 MARKS]

Question 10

In algebra $a\times b$ means ab but in arithmetic $3\times 5$ is

(a) 35

(b) 53

(c) 15

(d) 8

Question 87

Arrange the fractions $\frac{2}{3},\frac{3}{4},\frac{1}{2}and\frac{5}{6}$ in ascending order.

Question 4(d)

Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion:

200 ml : 2.5 litres and Rs 4 : Rs 50

If you have two (${45}^{\circ }$-${45}^{\circ }$-${90}^{\circ }$) set squares. Which of the following shapes is impossible to produce using them?

There is a circular track of length 400m. If you cover 270${}^{\circ }$ of the track, what is the length you have covered while running?

Write an expression to represent 4 more than the product of 3 and number x.

Which of the given options is Like Decimal of 25.4022 ? ( Don't add zeroes at the end )

Find the number of buses that N P S has.

Is cuboid a prism? State the key feature of a prism. [2 MARKS]

Which of the following objects are quadrilaterals?

Estimate: 5.87 - 4.36

Question 137

Fill in the blank to make the statement true.

......... is a factor of every number.

Evaluate $\frac{3}{5}$ $÷$ ($\frac{15}{50}$ of $\frac{2}{5}$).