Question 1 : State whether the statement is TRUE or FALSE : If $\frac{x}{3}+1=\frac{7}{15}$, then $\frac{x}{3}=\frac{6}{15}$.

Question 3 : The share of A when Rs. 25 are divided between A and B so that A gets Rs. 8 more than B is

Question 4 : A steamer goes downstream from one point to another in 7 hours. It covers the same distance upstream in 8 hours. If the speed of stream be 2 km/hr, find the speed of the steamer in still water.

Question 6 : If a and b are positive integers, then the solution of the equation ax = b has to be always

Question 8 : Solve 4t – 3 – (3t +1) = 5t – 4.

Question 11 : State whether the statement is TRUE or FALSE : Any value of the variable which makes both sides of an equation equal is known as a solution of the equation.

Question 13 : The value of x for which the expressions 3x – 4 and 2x + 1 become equal is

Question 14 : State whether the statement is TRUE or FALSE : A term of an equation can be transposed to the other side by changing its sign.

Question 15 : Sum of the digits of a two-digit number is 11. The given number is less than the number obtained by interchanging the digits by 9. Find the number.

Question 19 : State whether the statement is TRUE or FALSE : The number of boys and girls in a class are in the ratio 5:4. If the number of boys is 9 more than the number of girls, then number of boys is 9.

Question 21 : State whether the statement is TRUE or FALSE : Two different equations can never have the same answer.

Question 22 : In a two digit number, digit in units place is twice the digit in tens place. If 27 is added to it, digits are reversed. Find the number.

Question 23 : If x = a, then which of the following is not always true for an integer k ?

Question 24 : A family spent Rs. 52.00 for circus tickets. This cost included a Rs. 3.25 service fee for the order, with the cost of the circus tickets being Rs. 9.75 each. How many tickets did the family buy?

Question 26 : There are 40 passengers in a bus, some with Rs. 3 tickets and remaining with Rs.10 tickets. The total collection from these passengers is Rs. 295. Find how many passengers have tickets worth Rs. 3?

Question 27 : Rs. 13500 are to be distributed among Salma, Kiran and Jenifer in such a way that Salma gets Rs. 1000 more than Kiran and Jenifer gets Rs. 500 more than Kiran. Find the money received by Jenifer.

Question 28 : Two equal sides of a triangle are each 4m less than three times the third side. Find the dimensions of the triangle, if its perimeter is 55m.

Question 31 : The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.

Question 32 : Radha takes some flowers in a basket and visits three temples one by one. At each temple, she offers one half of the flowers from the basket. If she is left with 3 flowers at the end, find the number of flowers she had in the beginning.

Question 33 : Distance between two places A and B is 210 km. Two cars start simultaneously from A and B in opposite direction and distance between them after 3 hours is 54 km. If speed of one car is less than that of other by 8 km/hr, find the speed of each.

Question 35 : 9 is subtracted from the product of p and 4, the result is 11. The value of p is

Question 37 : Convert the statement 'Adding 15 to 4 times x is 39 into an equation'.

Question 38 : The digit in the tens place of a two digit number is 3 more than the digit in the units place. Let the digit at units place be b. Then the number is

Question 39 : State whether the statement is TRUE or FALSE : Equations where the expressions which form the equation contain only one variable and the highest power of the variable appearing in the equation is 1, are called linear equations in one variable.

Question 41 : Anima left one-half of her property to her daughter, one-third to her son and donated the rest to an educational institute. If the donation was worth Rs. 1,00,000, how much money did Anima have?

Question 42 : State whether the statement is TRUE or FALSE : In the equation 2x = 4 – x, transposing –x to LHS, we get x = 4.

Question 43 : On dividing Rs. 200 between A and B such that twice of A’s share is less than 3 times B’s share by 200, B’s share is?

Question 44 : State whether the statement is TRUE or FALSE : An algebraic equation is an equality involving variables.

Question 45 : If 8x – 3 = 25 +17x, then x is a

Question 46 : State whether the statement is TRUE or FALSE : Sum of the ages of Anju and her mother is 65 years. If Anju’s present age is y years then her mother’s age before 5 years is (60 – y) years.

Question 50 : Anushka and Aarushi are friends. They have equal amount of money in their pockets. Anushka gave $\frac{1}{3}$ of her money to Aarushi as her birthday gift. Then Aarushi gave a party at a restaurant and cleared the bill by paying half of the total money with her. If the remaining money in Aarushi’s pocket is Rs.1600, find the sum gifted by Anushka.

Question 51 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ced4f59b460d7261f0b3.png' /> In the above image, the area of the trapezium shown above is ?

Question 52 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceeff59b460d7261f0d9.png' /> In the above image, the shape of a garden is rectangular in the middle and semi circular at the ends as shown in the diagram. The area of this garden [Length of rectangle is 20 – (3.5 + 3.5) metres].

Question 53 : An ant is moving around a few food pieces of different shapes scattered on the floor. For which food-piece would the ant have to take a longer round? Remember, circumference of a circle can be obtained by using the expression c = $2 \pi r$, here r is the radius of the circle.

Question 54 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ced2f59b460d7261f0b0.jpg' /> <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1acf78c526e972caf069.jpg' /> In the above image, the area of this triangle and the area of the trapezium WXYZ are same. (T/F)

Question 55 : A suitcase with measures 80 cm $\times$ 48 cm $\times$ 24 cm is to be covered with a tarpaulin cloth. How many metres of tarpaulin of width 96 cm is required to cover 100 such suitcases?

Question 56 : Given a cylindrical tank, to find the number of smaller tanks that can be filled with water from it, will you find surface area or volume.

Question 57 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d022f59b460d7261f287.png' /> From the above figure, Rukhsar painted the outside of the cabinet of measure 1 m x 2 m x 1.5 m. How much surface area did she cover if she painted all except the bottom of the cabinet?

Question 58 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cec8f59b460d7261f0a1.jpg' /> In the above image, area of the figure is ?

Question 59 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ced8f59b460d7261f0b9.png' /> In the above image, the area of this quadrilateral is ?

Question 60 : If each edge of a cube is doubled, how many times will its volume increase?

Question 61 : All congruent figures are equal in area. State true or false.

Question 62 : 1 cubic cm = 1 cm $\times$ 1 cm $\times$ 1 cm = ?

Question 63 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cec1f59b460d7261f097.jpg' /> In the above image, a rectangular park whose length is 30 m and width is 20 m is shown. There is a path of one metre width running inside along the perimeter of the park that has to be cemented. Area of cemented path = ?

Question 64 : Daniel is painting the walls and ceiling of a cuboidal hall with length, breadth and height of 15 m, 10 m and 7 m respectively. From each can of paint $100 m^{2}$ of area is painted. How many cans of paint will he need to paint the room?

Question 65 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cef9f59b460d7261f0e7.png' /> In the above image, diameter of cylinder A is 7 cm, and the height is 14 cm. Diameter of cylinder B is 14 cm and height is 7 cm (as shown above). Whose Surface Area is greater?

Question 66 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cef6f59b460d7261f0e3.png' /> In the above image, there are two cuboidal boxes as shown. Which box requires the lesser amount of material to make?

Question 67 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ced9f59b460d7261f0ba.png' /> In the above image, the area of this quadrilateral is ?

Question 68 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d025f59b460d7261f28c.png' /> In the above image, The lateral surface area of a hollow cylinder is $4,224 \ cm^{2}$ . It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet.

Question 70 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cec8f59b460d7261f0a2.jpg' /> In the above image, area of the figure is ?

Question 71 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cef7f59b460d7261f0e4.png' /> In the above image, rukhsar painted the outside of the cabinet of measure 1 m $\times$ 2 m $\times$ 1.5 m. How much surface area did she cover if she painted all except the bottom of the cabinet?

Question 72 : A road roller takes 750 complete revolutions to move once over to level a road. The area of the road if the diameter of a road roller is 84 cm and length is 1 m will be ?

Question 73 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cef8f59b460d7261f0e5.JPG' /> In the above figure, which box has larger lateral surface area?

Question 74 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d018f59b460d7261f279.png' /> From the above figure, The shape of a garden is rectangular in the middle and semi circular at the ends as shown. Find the perimeter of this garden [Length of rectangle is 20-(3.5 + 3.5) metres].

Question 75 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d01df59b460d7261f280.png' /> From the above figure, Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500 $ m^{2}$ and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.

Question 76 : Arrange 64 cubes of equal size in as many ways as you can to form a cuboid. Can solid shapes of same volume have same surface area?

Question 77 : The diagonals of a rhombus are 7.5 cm and 12 cm. Its area will be ?

Question 78 : The area of a trapezium shaped field is $480 m^2$ , the distance between two parallel sides is 15 m and one of the parallel side is 20 m. The other parallel side is ?

Question 79 : Water is pouring into a cubiodal reservoir at the rate of 60 litres per minute. If the volume of reservoir is $108 m^3$ , How many hours it will take to fill the reservoir?

Question 80 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d01cf59b460d7261f27f.png' /> From the above figure, The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.

Question 81 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cec7f59b460d7261f0a0.jpg' /> In the above image, area of the figure is ?

Question 82 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ceeaf59b460d7261f0d3.jpg' /> In the above image, find the volume.

Question 83 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cee5f59b460d7261f0cb.jpg' /> In the above image, find the volume.

Question 84 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1d016f59b460d7261f276.png' /> From the above figure, a square and a rectangular field with measurements as given have the same perimeter. Which field has a larger area?

Question 85 : The volume of a cube with a side 4 cm is ?

Question 86 : In a building there are 24 cylindrical pillars. The radius of each pillar is 28 cm and height is 4 m. Find the total cost of painting the curved surface area of all pillars at the rate of 8 Rs per $m^2$.

Question 87 : A milk tank is in the form of cylinder whose radius is 1.5 m and length is 7 m. What is the quantity of milk in litres that can be stored in the tank?

Question 88 : The ............ has congruent circular faces that are parallel to each other.

Question 89 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cee9f59b460d7261f0d1.jpg' /> In the above image, find the height.

Question 91 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cef5f59b460d7261f0e1.png' /> In the above image, there is a pentagonal shaped park as shown. The area of this park is ?

Question 92 : A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if the diameter of a road roller is 84 cm and length is 1 m.

Question 93 : Given a cylindrical tank, in which situation will you find volume?

Question 94 : A rhombus has side as 5 cm and altitude as 4.8 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.

Question 95 : Given a cylindrical tank, in which situation will you find surface area?

Question 96 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cef3f59b460d7261f0de.png' /> In the above image, the diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. The area of the field is ?

Question 97 : Daniel is painting the walls and ceiling of a cuboidal hall with length, breadth and height of 15 m, 10 m and 7 m respectively. From each can of paint, $100 m^2$ of area is painted. How many cans of paint will she need to paint the room?

Question 98 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cee7f59b460d7261f0cf.jpg' /> In the above image, find the volume.

Question 99 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1ced4f59b460d7261f0b4.png' /> In the above image, the area of quadrilateral PQRS is ?

Question 100 : Diameter of cylinder A is 7 cm and its height is 14 cm. Diameter of cylinder B is 14 cm and its height is 7 m. Without doing any calculations can you suggest whose volume is greater?

Question 102 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf77f59b460d7261f195.png' /> In the above number line, write the rational number labelled with a letter F.

Question 112 : Which rational number does not lie between $\frac{-2}{5}$ and $\frac{1}{2}$ ?

Question 115 : For all rational numbers a, b and c, $a(b – c) = ab – ac$. TRUE or FALSE ?

Question 121 : Which rational number does not lie between $\frac{3}{5}$ and $\frac{3}{4}$ ?

Question 122 : Name the property under multiplication used in $\frac{-4}{5}\times1$ = $1\times\frac{-4}{5}$ = $\frac{-4}{5}$

Question 124 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf73f59b460d7261f18f.png' /> In the above number line, write the rational number labelled with a letter D.

Question 125 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf05f59b460d7261f0f7.jpg' /> Write the rational number for each point labelled with a letter.

Question 126 : Which of these rational numbers lie between $-\frac{5}{6}$ and $\frac{5}{8}$ ?

Question 129 : Which rational number does not lie between $\frac{1}{4}$ and $\frac{1}{2}$ ?

Question 131 : Name the property under multiplication used in $\frac{-13}{17}\times\frac{-2}{7}$ = $\frac{-2}{7}\times\frac{-13}{17}$ .

Question 136 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf74f59b460d7261f190.png' /> In the above number line, write the rational number labelled with a letter J.

Question 139 : Solve $\left[ \dfrac{7}{5}\times \left( \dfrac{-3}{12}\right) \right] +\left[ \dfrac{7}{5}\times \dfrac{5}{12}\right] $ using distributivity.

Question 141 : Which rational number does not lie between $\frac{2}{3}$ and $\frac{4}{5}$ ?

Question 143 : Which of these rational numbers lie between $\frac{1}{4}$ and $\frac{1}{2}$ ?

Question 145 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf72f59b460d7261f18e.png' /> In the above number line, write the rational number labelled with a letter C.

Question 148 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf76f59b460d7261f193.png' /> In the above number line, write the rational number labelled with a letter I.

Question 149 : State Yes or No : Is 0.3 the multiplicative inverse of $3\frac{1}{3}$?

Question 150 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cf71f59b460d7261f18c.png' /> In the above number line, write the rational number labelled with a letter E.

Question 151 : Find the area of rectangle with the following pair of monomials as their length and breadth respectively : $\left(20x^2,\ 5y^2\right)$

Question 159 : Carry out the multiplication of the expression : $a^2 – 9, 4a$

Question 163 : What is the cofficient of the term $x^2y^2$ in the expression $x^2y^2 -10x^2y +5xy^2-20$?

Question 164 : Add the expression: $l^2 + m^2$ , $m^2 + n^2$ , $n^2 + l^2$ , $2lm + 2mn + 2nl$

Question 166 : What is the result of the following divisions? $(3x^4 – 1875) ÷ (3x^2 – 75)$

Question 167 : State true or false: $(a + b + c) (a^2 + b^2 + c^2 – ab – bc – ca) = a^3 + b^3+ c^3 – 3abc$

Question 170 : Find the area of rectangle with the following pair of monomials as their length and breadth respectively : $(20x^2 , 5y^2)$

Question 173 : Using the Identity (II) : $(a-b)^2 = a^2 + b^2 - 2ab$ ,find $(4.9)^2$

Question 174 : Add the expression: $ab – bc$, $bc – ca$, $ca – ab$

Question 176 : What is the result of the following divisions? $(x^4 – 16) ÷ x^3 + 2x^2 + 4x + 8$

Question 177 : How many polynomials are there in the list which are neither monomial nor binomial or trinomial? $x + y$, $1000$, $x + x^2 + x^3 + x^4$, $7 + y + 5x$, $2y – 3y^2$, $2y – 3y^2 + 4y^3$, $5x – 4y + 3xy$, $4z – 15z^2$, $ab + bc + cd + da$, $pqr$, $p^2q + pq^2$, $2p + 2q$

Question 179 : Check if the following is true or false: $2ax^2 + 4axy + 3bx^2 + 2ay^2 + 6bxy + 3by^2=(2x+3)(6b+xy)$

Question 181 : State true or false: $(a^2 – b^2) (a^2 + b^2) + (b^2 – c^2) (b^2 + c^2) + (c^2 – a^2) + (c^2 + a^2) =0 $

Question 182 : State true or false. Expressions that contain exactly one term is called monomials.

Question 184 : Using the Identity (II) : $(a-b)^2 = a^2 + b^2 - 2ab$ ,find $(4p - 3q)^2$

Question 187 : Find the volume of rectangular box whose length, breadth and height are 2ax, 3by and 5cz respectively.

Question 189 : Use the identities to find the product of $(4x – 5) (4x – 1)$

Question 190 : Add: $2x (z – x – y)$ and $2y (z – y – x)$

Question 192 : Multiply the binomials: $(2x + 5) \ and \ (4x – 3)$

Question 193 : Subtract $5x^2 – 4y^2 + 6y – 3$ from $7x^2 – 4xy + 8y^2 + 5x – 3y$

Question 196 : Use a suitable identity to get the product: $(6x – 7) (6x + 7)$

Question 197 : State true or false: 4l and -7l are like terms, which are like 2l.

Question 200 : Subtract $3xy + 5yz – 7zx$ from $5xy – 2yz – 2zx + 10xyz$