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A grid has 80 squares, of which 25% is shaded. How many squares are shaded?

Question 159(v)

Find a single repeater machine that will do the same work as each hook-up.

0.0000000123 is expressed in its standard form as $x.23\times {10}^y$, where x and y are integers. Express the number $y\times {10}^x$ in its normal form.

Solve:

$625\times (-35)+(-625)\times 65$

Using the number line, match the following multiplications of two numbers:

Solve the following:

(i) Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37 marbles. How many marbles does Parmit have?

(ii) Laxmi’s father is 49 year old. He is 4 years older than three times Laxmi’s age. What is Laxmi’s age?

(iii) People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees was two more than three times the number of fruit trees. What was the number of fruit trees planted if the number of non-fruit trees planted was 77?

In an Isosceles triangle, perpendicular drawn to the unequal side divide the triangle into two ______ triangles.

If P = Rs 4000, R = 5% and T = 3 years then simple interest is:

Figure depicts a racing track whose left and right ends are semi-circular. The distance between the two inner parallel line segments is 60 m and they are each 106 m long. If the track is 10 m wide, find the area of the track (in $m^2$).

Question 102

ABCD is a parallelogram in which AE is perpendicular to CD is shown in the given figure. Also, AC = 5 cm, DE = 4 cm and area of $\Delta AED=6c{m}^2$.
Find the perimeter and area of parallelogram ABCD.

Question 62

In a school, the ratio of the number of large classrooms to small classrooms is 3:4. If the number of small rooms is 20, then find the number of large rooms.

If 37/13 = 2+ 1/[a+ {1/(b+ 1/c)}] where a,b,c are natural numbers then what are their values ?

Refer to the following figure. Three squares are constructed on each side of the triangle as shown, with the length of each square equal to the side of the triangle on which it is constructed. The angle opposite to the blue colour square is the right angle. If the largest side is 17 cm, then find the sum of the areas of the three squares.

1. 80

Question 71

In questions 60 to 79, state whether the statements are True or False.
Out of 600 students of a school, 126 go for a picnic. The percentage of students that did not go for the picnic, is 75.

$△$ABC is drawn with the length of side BC being 9.6 cm. If $\angle$C is 36${}^{\circ }$ and $\angle$B is 84${}^{\circ }$, then, the length of side AB is

How is the pre-image(A) related to the image(A')?

The value of (-5)⁵ is

The inner and outer radii of a circular ring are 14 cm and 21 cm respectively. Find the area of the shaded portion.

2.5 x 2.5 =

In the figure below, OP, OQ, OR and OS are four rays. Then, find $\frac{(\angle POQ+\angle QOR+\angle SOR+\angle POS)}{3}$.

Convert the following decimals into percentage.

Simplify: ${\left(4m+5n\right)}^2+{\left(5m+4n\right)}^2$.

In the figure given below, normally in two jumps frog covers the distance of 9m. One day on seeing the snake frog jumped $\frac{1}{5}$ times more than his normal jump and again he jumped with full strength and covered $\frac{1}{2}$ times more distance than he normally covers in the end of second jump. Find the distance covered by frog in second jump and in total. [4 MARKS]

$(6\times 5+19÷10+\frac{3}{5})-\frac{19}{2}+1=$

What is the mode of 16,17,18,19,20,21,22,23,24

If $m=3$ and $n=-2$ then $(2m-2n{)}^5$ is

The remainder when $8^{2n}-(6{)}^{2n}$ is divided by $9$ for $n\in N$, is