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Which of the following correctly represents 338 as the product of its prime power?

Question 118



Find the value of n.

$\frac{6^n}{6^{-2}}=6^3$

If a coin is tossed three times, then what is the probability that at least one head occurs in the three trials?

Identify the error if any.

Devi added five-sixths of a bag of soil to her garden, her friend Shreya added eleven-eighths bags of soil to her garden. What fraction of soil did Shreya add more than Devi?

A machine in a soft drink factory fills 480 bottles in six hours. How many bottles will it fill in 2 days?

Find the Principal.

Amount = Rs. 15,000; time = 2 years; rate of interest = 12½% p.a

Question 1(h)
Find the following product:
$(-18)\times (-5)\times (-4)$

A man spent $\frac{3}{5}$ of his income and still has $₹1500$ left with him. What is his income ?

If

Solve the following problems. Draw Venn diagrams for each of them.

The base of a triangular field is 2.4 times its height. If the cost of levelling the field at the rate of ₹20 per square meter is ₹9600, then the height of the field is ___ m.

The sum of $\frac{-35}{11}$ and $\frac{12}{55}$ is ____________

Identify the main idea/theme of the passage.

The paintings of Spanish painter Pablo Picasso sold best in the period following the production of La Guernica, now Pablo Picasso’s most famous piece. In the 12 month period preceding the unveiling of this piece, Pablo Picasso sold 60% of the works he produced in this period, a far greater percentage than in previous years. In the 12 month period following a glowing review of La Guernica in a popular magazine, however, Pablo Picasso sold 85% of the paintings he produced. Interestingly, Pablo Picasso’s revenue from painting sales was roughly the same in both periods, since he sold the same number of paintings in the 12 months before presenting La Guernica as he did in the 12 months following the favourable review.

1. 3

In the expression $45÷9+8\times 5-45$, what operation should be performed first according to BODMAS?

Select the greatest fraction.

Question 3 (v)

On comparing the ratios $\frac{a_1}{a_2}$, $\frac{b_1}{b_2}$ and $\frac{c_1}{c_2}$ find out whether the following pair of linear equations are consistent, or inconsistent.

$\frac{4}{3}x+2y=8;2x+3y=12$

Twice of a number is added to four times of another number,then which of the following represents correct unchanging relation ?

Four corners of a square are folded as shown in the first two figures. It is unfolded and cut along the creases to get a new square of the area $14.5c{m}^2$. The area of the original square is _____.

Multiplication of decimal number 2.35 by 1000 is:

The ratio of the corresponding sides of two similar triangles is 1 : 3. The ratio of their corresponding heights is _________.

Which of the following is not a 3D shape?

Question 54

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

To add the numbers given in standard form we first convert them into numbers with ___ exponents.

$Constucta\Delta ABCinwhichBC=4.8cm,\angle B={45}^{\circ }and\angle C={75}^{\circ }Measure\angle A.$

Question 3(d)

Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.

$\frac{q}{2}=7(7,2,10,14)$

Question 81

The earth rotates ${360}^{\circ }$ about its axis in about 24 hours. By how much degree will it rotate in 2 hours?

On dividing 72 by 7, the quotient is 10. Find the remainder.

The revenue of JMF Company decreases from Rs 30000 to Rs 27000. What is the percentage decrease?

1. 32

How many rational numbers lie between $\frac{2}{5}$ and $\frac{6}{5}$? [3 MARKS]

In the given image, the rational number that is represented by the red arrow is .