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Question 51

To divide a decimal number by 100, we move the decimal point in the number to the left by two places.

A pack of 2 kg of sugar contains $8\times {10}^6$ crystals and a sack contains 3 packs of sugar. In 12 sacks, what will be the weight of sugar present?

What comes next in this pattern?

A shopkeeper buys 80 articles for ₹ 2400 and sells them at a profit of 16%. Find the selling price of one article.

The monthly income of a man is ₹ 28,000. He gives $\frac{1}{5}$ of it to his wife and $\frac{2}{5}$ of the remaining he spends on household expenses.

1) How much does he give his wife?

2) What is the amount that is left with him?

The value of $x$ and $y$ in the following equation :

$\sqrt{(5330{)}_x+(1425{)}_y}=(50{)}_x+(15{)}_y$

Every time the long arm completes a revolution, the short arm in the stopwatch moves to the next division. If the watch was stopped, when the long arm was ${4140}^{\circ }$ away from its start position. Then, the short arm would be ____ away from its start position.

If a racing car covers 500 km in 4 hours then find its speed.

Write the integer which is: [3 MARKS]

(a). 4 more than 6

(b). 5 more than -6

(c). 2 less than -5

Three lines AB, CD and EF interesect each other at O. If $\angle AOE={30}^{\circ }and\angle DOB={40}^{\circ }$ (see the figure). Find $\angle COF.$

Q7. Where will the hour hand of a clock stop if it starts

(a) From 6 and turns through 1 right angle?

(b) From 8 and turns through 2 right angles?

(c) From 10 and turns through 3 right angles?

(d) From 7 and turns through 2 straight angles?

Find the value of -9-(-10) using the number line:

Pick factor pairs(s) of 1000 from the below options:

Which of the following shapes from the options can be joined to the given image [Image (i)] to form a Star?

Question 1(ii)

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 Z as

A set of data arranged in ascending order is given

3, 5, 10, 12, $x$, 15, 20, 21, 29

Find the value of $x$ if mean of the given numbers is 12.

Question 2(a)

Place commas correctly and write the numerals:
Seventy-three lakh seventy-five thousand three hundred seven.

Jack bought $500$ bricks at $₹200$. What is the cost of $250$ bricks?

A shopkeeper wants to distribute 20.7 kgs of sugar into 9 equal jars. How much sugar would go into each jar?

Name the following triangle in two different ways: (You may judge the nature of angle by observation)

Priya was preparing a cake. She mixed 3 cups of flour, 2 cups butter, and 1 cup sugar. The percentage of flour in the cake is ___.

Find the area covered if 8 square mats of side $\frac{5}{2}m$ are spread over the ground.

The results of an election are shown in the table below.

Which of the following polynomials has number of zeros equal to two?

The LCM of $2,4$ and $7$ is

Choose the division equation for $9\times 3=27$

Question 8
The following table gives the frequencies of most commonly used letters a, e, i, o, r, t, u, from a page of a book.

$\begin{array}{cccccccc}\text{Letters}& a& e& i& o& r& t& u\\ \text{Frequency}& 75& 125& 80& 70& 80& 95& 75\end{array}$

Represent the information above in a bar graph.

Assemble the following in descending order.

An angle which measures ${220}^{\circ }$ is called ___ angle.

1. 110

Your challenge is to mark the points between the rays PA and PB (both included) which lie at a certain distance, say 'd', from a point P, as shown. PC = d. How many such points exist?