Question 1 :
The heights of 10 girls were measured in cm and the results are as follows:$135, 150, 139, 128, 151, 132, 146, 149, 143, 141$. What is the mean height of the girls?
Question 2 :
There are 6 marbles in a box with numbers from 1 to 6 marked on each of them. What is the probability of drawing a marble with number 5?
Question 3 :
Tell whether the following is certain to happen, impossible, can happen but not certain. A die when tossed shall land up with 8 on top.
Question 4 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c98ef59b460d7261e9ca.PNG' />
In the above table, number of children in six different classes are given. Find the ratio of students of class sixth to the students of class eight.
Question 5 :
A coin is flipped to decide which team starts the game. What is the probability that your team will start?
Question 6 :
There are 120 voters, 90 of them voted yes. What percent voted yes?
Question 7 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca6ff59b460d7261eaf8.jpg' />
In the above figure, estimate what part of the figure is coloured.
Question 9 :
Earth’s total land area is about 148428950 $km^2$. The land area of Asia is about 30 per cent of this total. What is the approximate land area of Asia to the nearest square km?
Question 13 :
If m = 2, find the value of:
$3m^2$ - 2m - 7
Question 15 :
In the expression $n^2+1$ the 5th , 10th term will be?
Question 16 :
The given pair of terms $4m^2p\ ,\ 4mp^2$ are like terms ?
Question 17 :
Add :
5m - 7n , 3n - 4m + 2 , 2m - 3mn - 5
Question 18 :
Simplify the expression and find its value when a=5 and b=-3 , $2\left(a^2+ab\right)+3-ab$.
Question 19 :
If m = 2, find the value of:
9 - 5m
Question 21 :
Express the following as a product of powers of their prime
factors: 9000
Question 22 :
State whether true of false: $x^m \div\ y^m = (x\div y)^m$, where x and y are non-zero rational numbers and
m is a positive integer.
Question 25 :
State whether true of false: $x^0 \times\ x^0 = x^0 \div\ x^0$ is true
for all non-zero values of x.
Question 26 :
State whether TRUE or FALSE: $8 \times 10^6 + 2 \times 10^4 + 5 \times 10^2 + 9 \times 10^0 = 8020509$
Question 28 :
In $10^{-5}$, – 5 is the exponent and 10 is the ________.
Question 38 :
If a is an integer other than 1 and –1, $a\div(-1)$=
Question 39 :
Use the sign of >,< or = in the blank to make the statement true: (-8) + (-4) _____ (-8) - (-4)
Question 40 :
A plane is flying at the height of 5000 m above the sea level. At a particular point, it is exactly above a submarine floating 1200 m below the sea level. What is the vertical distance between them?
Question 42 :
State TRUE or FALSE. An angle is formed when two lines or rays or line segments meet or intersect.
Question 43 :
If a transversal intersects two parallel lines, then sum of interior angles on the same side of a transversal is _________.
Question 44 :
State TRUE or FALSE. Two angles making a linear pair are always adjacent angles.
Question 45 :
The difference of two complementary angles is $30^{\circ}$. Then, the angles are
Question 46 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c7c6f59b460d7261e785.PNG' />
In the above figure, PQ ∥ RS. If $\angle 1 = ( 2 a + b ) ^ { \circ } $ and $\angle 6 $ = $( 3 a - b ) ^ { \circ }$ , then the measure of $\angle 2 $ in terms of b is
Question 47 :
The measure of an angle which is four times its supplement is
Question 48 :
What is the type of other angle of a linear pair if one of its angles is obtuse?
Question 49 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c7dcf59b460d7261e7a4.PNG' />
In the above figure, it shows iron rods a, b, c, d, e and f are making a design in a bridge, in which $a \| b, c \| d, e \| f$. What are the marked angles between c and f?
Question 50 :
State TRUE or FALSE. Both angles of a pair of supplementary angles can never be acute angles.
Question 51 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c7b7f59b460d7261e76f.PNG' />
In the above figure, the points A, O and B are collinear. Ray OC $\bot$ ray OD. Are $\angle AOC$ and $\angle BOC$ supplementary?
Question 52 :
The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm, find its length.
Question 53 :
A door-frame of dimensions 3 m × 2 m is fixed on the wall of dimension10 m × 10 m. Find the total labour charges for painting the wall if theclabour charges for painting 1 $m^{2}$ of the wall is Rs.2.50.
Question 54 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad7f59b460d7261eb7d.png' />
In above image, a rectangular lawn with a circular flower bed in the middle. Find the circumference of the flower bed.
Question 55 :
The circumference of a circle is 31.4 cm. Find the radius and the area of the circle?
Question 56 :
A gardener wants to fence a circular garden of diameter 21 m. Find the length of the rope he needs to purchase, if he makes 2 rounds of fence. Also find the cost of the rope, if it costs Rs 4 per meter.
Question 57 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa378c526e972caefed.PNG' />
In the given figure, A door of length 2 m and breadth 1m is fitted in a wall. The length of the wall as in the image above is 4.5 m and the breadth is 3.6 m. Find the cost of whitewashing the wall, if the rate of white washing the wall is Rs.20 per $m^{2}$.
Question 59 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cacbf59b460d7261eb6d.png' />
In above image, find the area of triangle.
Question 65 :
Write equation for the following statement: The sum of numbers x and 4 is 9.
Question 67 :
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?
Question 68 :
Set up equations and solve them to find the unknown numbers in the following case: If I take three-fourths of a number and add 3 to it, I get 21. The number is
Question 71 :
Write equation for the following statement: Three-fourth of t is 15.
Question 72 :
The six elements of triangle ABC are $\overline{AB}$, $\overline{BC}$, $\overline{CA}$, $\angle BAC$, $\angle ABC$, $\angle BCA$. Is the statement true?
Question 73 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca34f59b460d7261eaa9.png' />
From the above image, find the value of the unknown x .
Question 74 :
In which type of triangle 2 of its sides are altitudes and meet at same point?
Question 75 :
When we write $\angle A$ = $\angle B$, we actually mean ___________.
Question 76 :
Can you have a triangle with all the three angles greater than 60º?
Question 77 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca7ef59b460d7261eb0b.png' />
In the above image, given that BC = BT, TA = CA, BA is common. Therefore, ΔBCA $\cong$ ΔBTA. Which congruence criterion do we use in the following?
Question 78 :
If $ \triangle ABC \cong \triangle FED$ under the correspondence ABC ↔ FED, write all the corresponding congruent parts of the triangles.
Question 79 :
The lengths of two sides of a triangle are 12 cm and 15 cm. Between what two measures should the length of the third side fall?
Question 80 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca17f59b460d7261ea80.png' />
From the above image, find angle x.
Question 81 :
Express each of the following as product of powers of their prime factors: 405
Question 83 :
Express as a product of prime factors only in exponential form: 270
Question 84 :
Express the following numbers as a product of powers of prime factors: 1000
Question 85 :
Expand by expressing powers of 10 in the exponential form: 176428
Question 86 :
Express the following numbers as a product of powers of prime factors: 72
Question 89 :
Find the area of rectangle whose length is 5.7cm and breadth is 3 cm
Question 91 :
Is it possible to construct a triangle PQR when PQ=3 cm , QR=5.5 cm and $\angle PQR=60^{\circ}$?
Question 92 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c8c8f59b460d7261e8d2.PNG' />
In the above figure, the adjoining net represents _____.
Question 93 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c9c9f59b460d7261ea17.JPG' />
In the above fig, decide in which all is l parallel to m ?
Question 94 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cac4f59b460d7261eb65.PNG' />
In the above figure, arms of two angles are equal and $\angle ABC= 70^{\circ}$. Which of the following statements is NOT correct ?
Question 95 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c9b3f59b460d7261e9fa.JPG' />
In the above fig, are the following adjacent angles - (a)∠AOB and ∠BOC (b)∠BOD and ∠BOC ?
Question 96 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cb13f59b460d7261ebcd.png' />
In the above figure, find the value of the unknown interior angle x.
Question 97 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c967f59b460d7261e99c.png' />
In the above image, BD and CE are altitudes of $\triangle ABC$ such that BD = CE. State the pairs of equal parts in $\triangle CBD$ and $\triangle BCE$.
Question 98 :
In triangles ABC and PQR, AB = 3.5 cm, BC = 7.1 cm, AC = 5 cm, PQ = 7.1 cm, QR = 5 cm and PR = 3.5 cm. Examine whether the two triangles are congruent or not.
Question 99 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ca2ff59b460d7261eaa2.png' />
From the above image, find the value of the unknown interior angle x .
