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Question 10

Raju purchases 10 pens for Rs. 150 and Manish buys 7 pens for Rs. 84. Can you say who got the pen cheaper?

The perimeter of a regular pentagon is 100 cm, then each side is

Write the number
$29+\frac{29}{10}+\frac{29}{1000}$ in the form of decimals.

The solution of equation "6y + 5 = 35" is:

X, Y and Z are in partnership sharing profits in the ratio of 5 : 3 : 2. Their Balance Sheet as at 1st April, 2012, the day Y decided to retire was as follows :

$\begin{array}{cccc}\text{Capital and Liabilities}& \text{Rs}& \text{Assets}& \text{Rs}\\ \text{X's Capital}& 30,000& \text{Buildings}& \text{25,000}\\ \text{Y's Capital}& 20,000& \text{Plant}\&\text{Machinery}& 15,000\\ \text{Z's Capital}& 20,000& \text{Investments}& 10,000\\ \text{General Reserve}& 10,000& \text{Debtors}& 10,000\\ \text{Sundry Creditors}& 7,000& \text{Stock}& 5,000\\ \text{Bills Payable}& 3,000& \text{Cash at Bank}& 25,000\\ & \underset{–}{\underset{–}{\overline{90,000}}}& & \underset{–}{\underset{–}{\overline{90,000}}}\end{array}$

The terms of retirement were :

(a) Y sells his share of goodwill to X for Rs 8,000 and to Z for Rs 4,000.

(b) Stock to be appreciated by 20% and buildings by Rs 5,000.

(c) Investments were sold for Rs 22,000.

(d) Y is paid off in cash.

Prepare Revaluation Account, Capital Accounts of Partners and the Balance Sheet of the new firm.

When the perimeter and area of a square are numerically equal, what is the numerical value of the measure of its side?

Question 1(b) :

Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘<’, ‘>’, ‘=’ between the fractions:

Let the numbers $a,b,c,d$ are in continued proportion in order. If the value of $b$ and $c$ are $6$ and $18$ respectively, then

Three squares are joined together as shown in the given figure. Their sides are 4 cm, 10 cm and 3 cm. Find the perimeter of the figure.

The sum of angles of a parallelogram is _________.

A cricket ball, tennis ball and a football are all examples of ___.

Prime numbers have ____ number of factors.

What are prime triplets

Find whether the following table satisfies the EULER'S formula or not. [4 MARKS]

$\begin{array}{ccc}\text{No. of Faces}& \text{No. of Vertices}& \text{No. of Edges}\\ 3& 4& 6\\ 3& 8& 12\\ 4& 6& 12\\ 3& 20& 30\\ 5& 12& 30\end{array}$

If an angle exceeds its supplement by 44°, then the angle is ___.

Given below are the marks (out of 100) in mathematics obtained by 40 students of 6^th standard in an annual examination.

Which section has the best way of arranging the students according to their marks?

Number of Vehicles Purchased during the Year

Who has purchased the maximum number of vehicles during the year?

What is the absolute value of

(45-55)-(8)+(7)?

If a $\lambda$ polygon has 18 sides, then $\lambda$ each interior angle measures

2 x 10000 + 6 x 1000 =?

If Rs. 70 is distributed equally among 40 poor children, how much will each child get?

The solution of x² + 4x + 4 = 0 is

There are 63 cookies distributed among four children Ram, Arjun, John and Imran. Cookies are divided in such a way that Arjun gets twice the number of cookies than Ram. John gets half of the sum of cookies that Arjun and Ram got. Imran gets half of the cookies that John got. Find the number of cookies each one received.
[4 MARKS]

Which of these is smallest out of the following?

If $5kg$ of wheat costs ₹$280$, what will be the cost of $3kg$ of wheat?

Question 54

State whether the statements are true or false:

If an isosceles triangle has more than one line of symmetry, then it must be an equilateral triangle.

Question 1(a)

The total number of animals in five villages are as follows:
Village A: 80 Village B: 120
Village C: 90 Village D: 40
Village E: 60

Prepare a pictograph of these animals using one symbol $⨂$ to represent 10 animals and answer the following question:
How many symbols represent animals of village E?

Question 17

Which of the following shows the maximum rise in temperature?

(a) $0^{\circ }$C to ${10}^{\circ }$C

(b) $-4^{\circ }$C to $8^{\circ }$C

(c) $-{15}^{\circ }$C to $-8^{\circ }$C

(d) $-7^{\circ }$C to $0^{\circ }$C

Three identical square sheets of paper need to be cut into 4, 5, and 6 stripes of equal sizes respectively. Find the minimum length of the side (in cm) of the original square sheet.

Question 56

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

The standard form for $0.000000008$ is ___ .

Which of the given angle have a measure of 90 degrees?

Which of the following fraction is the smallest?
(a) $\frac{7}{8}$
(b) $\frac{9}{8}$
(c) $\frac{3}{8}$
(d) $\frac{5}{8}$

Find the value of m in $7^m$ = 343.

___

Question 9

A truck requires 108 litres of diesel for covering a distance of 594 km. How much diesel will be required by the truck to cover a distance of 1650 km?

Which 3-D solid figure can be formed from the above shown image? [1 MARK]

If a number is divisible by 6, then it is divisible by___ .

Write $0.066$ as fraction in lowest term.

Find the sum of all natural numbers lying between 100 and 1000 which are multiples of 5.

Which of the images given in options is the reflection transformation of the following image with respect to the Y-axis?

Number formed after exchanging the hundreds and ones place digits of the numeral 675 is

Name the quadrilateral whose diagonals are equal and the adjacent sides are unequal.

As per the bar graph shown, the minimum attendance was on _______.

The following numbers can be grouped under

-2, -1, 0, 1, 2.

Question 1 (ii)

Find the sum:
$\frac{5}{3}+\frac{3}{5}$

Question 1(a)

Fill in the blanks:
1 lakh = _______ ten thousand.