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Calculate the capacity of a box with inner length, breadth and height = 15 cm, 25 cm and 35 cm respectively ?

The mode of the following data is ___

$\begin{array}{cccccc}\text{Class interval}& 0-100& 100-200& 200-300& 300-400& 400-500\\ \text{Frequency}& 7& 11& 15& 9& 8\end{array}$

Question 2(b)

Out of 30 students in a class, 6 like football, 12 like cricket and remaining like tennis. Find the ratio of:

The number of students liking cricket to the total number of students.

$\frac{33}{121}$ reduced to its simplest form is ______

$\frac{0.1\times 7.8\times 0.196}{0.6\times 0.14}=$

Which is the greatest among: $0.1$, $0.2$, $0.5$, $0.8$

If HCF (a, b) × LCM (a, b) = 84 and b = 21 then a = ?

(-8) - 7 - (+6) -5 - (-4) - 3 - 2 - (-1) + 28 = ___

Which of the given option is the simplest form of $\frac{13860}{18480}$ ?

Which quadrilateral has 4 equal sides but is not a square?

I have 14 apples with me of which ${\frac{2}{7}}^{th}$ of them were spoilt. After selling off some of them, I was left with ${\frac{1}{5}}^{th}$ of the fresh apples. Half of the remaining apples were eaten up by my wife.

Enter the total number of apples which are left with me ___.

The bar graph below shows the strength of 'section A' consecutively for 6 years since 2009 when it was Class 6. Each year, same students get promoted to next class. Also, some of the students get new admission and some of the students get transferred. So, the number of students varies accordingly.

How many new students got admitted to the class at the start of session 2012 if nobody from the previous year batch took a transfer and 2 students were not promoted?

Find the missing term in the pattern.

1,4,___,16,25

Question 19

Fill in the blanks to make the statements true.

The number of lines of symmetry in a picture of Taj Mahal is ___.

Question 8 (v)

Fill in the boxes with the correct symbol out of <, > and =:
$\frac{1}{-3}$ ___ $\frac{-1}{4}$

Question 28

The solution of the equation 3x +7 = - 20 is ___ .

Question 2 (d)

Find the value of:

11.6 – 9.847

Question 4 (b)

Adjacent figure is a vertical number line, representing integers. Observe it and locate the following points:

Is point G a negative integer or a positive integer?

In the given figure, CD and FE are parallel lines. Find the value of x.

M,D, T and W are sitting around a circle facing at the centre. Who is to the immediate left of D ?

Statement I. M is between T and W and D is to the immediate left of T.

Statement II. D is second to the left of M.

Find the algebraic expression to express the following number series :

5,9,13,17,21,25..... (n=1,2,3....)

1. 30

Question 1(v)

Find the rule, which gives the number of matchsticks required to make the following matchstick patterns. Use a variable to write the rule.
A pattern of letter E as

Question 16
In the given figure, PQ$\perp$RQ, PQ = 5 cm and QR = 5 cm. Then, $△PQR$ is



a) a right-angled triangle but not isosceles
b) an isosceles right-angled triangle
c) isosceles but not a right-angled triangle
d) neither isosceles nor right-angled triangle

Question 121

Fill in the blank to make the statement true.
Natural numbers are closed under _____ and under_____.

Pavan went to a market and bought 4 kg potato for Rs 20 per kg and 5 kg onion for Rs 40 per kg. How much did he spend in total?

On Sunday, 845 people visited the zoo; whereas on Monday, only 169 people visited. Find the percentage decrease in the number of visitors on Monday.

One third of a number is 33. Can you find the number?

Question 4 (c)

Measure the angle given below, using the protractor and write down the measure:

The value of ${\sum }_{i=1}^n{x}_i$ is

Statements:

Some windows are reds.

Some reds are balconies.

All handles are windows.

Conclusions:

I. Some handles are reds.

II. No balcony is a handle.

A quadrilateral having all the angles equal to ${90}^{\circ }$ is a ___

Which of these is a condition for a parallelogram to be a rhombus?

Question 2 (d)

What shape is:

A road-roller?

Soham goes jogging every morning around a rectangular park. The length and breadth of the park are 150 m and 100 m respectively. Find the distance covered by Soham in one lap around the park.

In a school, there were 860 students, 35% study Sanskrit. How many students do not study Sanskrit?
[2 MARKS]

When $4yz+9zx-4y$ and $-3yz+5y-2xz$ are added, we get

A match box measures 4 cm $\times$ 2.5 cm $\times$ 1.5 cm. Which of the following does not represent the volume of a packet containing 12 such boxes?

The bar chart for the data given in the frequency table is shown below. For which year the data in graph is incorrectly represented?

Which of the following numbers lies to the right of the number - 4.663 on the number line?

Jose wants new a carpet for his living room. His living room is 9m $\times$ 9m. If the carpet cost is Rs 12 per square metre, what is the cost of the carpet? [3 MARKS]

Frame five two-way questions (with 'Yes' or 'No').

Question 79 (ii)

Solve: $\frac{5}{13}-\frac{-8}{26}$