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Class 8

Maths

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Class 8 Maths Question Answers

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Class 8 Maths QnA: Excel in Advanced Mathematics

From solving algebraic equations to understanding mensuration, our Class 8 Maths Question and Answer pages make math simpler and more engaging. Practice with confidence and build a strong foundation for future challenges.

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Class 8 Maths Question Answers

A box is in the form of a cube. Its edge is 5 m long. Find –(a) The total length of the edges(b) The total cost of painting the outside of the box on all the surfaces at the rate of \\[Rs.5\\] per m sq.(c) The volume of liquid which the box can hold.

A bag contains 50 paise 1 rupee and 2-rupee coins in the ratio 2: 3: 4. If the total amount is Rs 240. What will be the total number of coins?A. 90B. 162C. 180D. 225

Add the following:a-b+ab b-c+bc c-a+ac.

A circle of radius 2 cm is cut out from a square piece of an aluminum sheet 6 cm. What is the area of the leftover aluminum sheet? (Take $\\pi = 3.14$)

3 years ago the sum of the ages of a father and his son was 40 years. What will be the sum of the age of father and son after 2 years?

Add the following expression: $3{{x}^{2}}+5x-4$ and $8x-2{{x}^{2}}+11$.A. ${{x}^{2}}+13x+7$B. ${{y}^{2}}+3x-7$C. ${{x}^{2}}+13x+6$ D. ${{y}^{2}}-2x+7$

A boat covers 16 km upstream and 24 km downstream in 6 hours while it covers 12 km upstream and 36 km downstream in the same time. What is the speed of the boat upstream and downstream?

A baker makes 100 cakes out of which 35 are chocolate cakes. What percentage of cakes are chocolate cakes?

A cube is made by arranging 64 cubes having side of 1 cm find the total surface area of the cube so formed.

How many 10 rupee notes can we have in one and a half thousand rupees?

A boy was ‘p’ year old ‘r’ years ago. How old will be in ‘(p-r)’ years time? Nurgevers ago Hari was 5 years older than Anushka. If he is now twice as old as she is find their age.

A businessman bought some items for 7500. He kept 5 items for himself and sold the remaining items at a profit of 30 per item. From the amount received in this deal he could buy 4 more items. Find the original price of each item.

A closed box measures 66cm 36cm and 21cm from outside. If its walls are made of metal sheet 0.5cm thick then find the weight of the box if 1\\[c{m^3}\\]of metal weighs 3.6gA. 17985.6gB. 15725.6gC. 13625.6gD. 15825.6g

A and B together can complete a work in 12 days. A alone can complete it in 20 days If B now does the work for half a day dally Then in how many days A and B together will complete the work?A) 15 daysB) 20 daysC) 45 daysD) 30 days

How much will 80 000 amount to in $2\\dfrac{1}{2}$ years if the interest rate is $8%$ p.a. compounded annually?

Add and express the sum as a mixed fraction: \\[\\dfrac{24}{7}\\]and \\[\\dfrac{-11}{4}\\]

A bus starts from Howrah at 9 : 00 hours and reaches Burdwan at 11 : 1 0 hours. How much time does the bus take to reach Burdwan?

A certain amount was divided between Sneha and Sumit in the ratio 3:2. If sumit’s share was Rs.3200 Then the total amount is ………..?A. Rs.6000B. Rs.8000C. Rs.9000D. None of these

32 is 40 percent of what number?A. 12.8B. 128C. 80D. 800

A cycle is sold for Rs. 880 at a loss of 20%. For how much it should be sold to gain 10%?

A began a business with Rs. 85 000. He was joined afterwards by B. With Rs. 51 000. For how much period does B join if the profits at the end of the year are divided in the ratio of 5:1?A .4 monthsB .6 monthsC .8 monthsD .3 months

A(3 7); B(5 11) C(-2 8) are the vertices of $\\Delta ABC$. AD is one of the medians of the triangle. The equation of the median AD is: (a) $5x+3y-36=0$(b) \\[5x+3y+36=0\\](c) $3y-5x-36=0$ (d) $3y-5x+36=0$

2 pipes running together can fill a cistern in 6 minutes if one tap takes 5 minutes more than the other to fill the cistern. Find the time in which each pipe would fill the cistern?

A certain fruit salad sold apples for $ Rs.0.70 $ each and bananas for $Rs. 0.50 $ each. If a customer purchased both apples and bananas from the stand for a total of $Rs. 6.30 $ what total number of apples and bananas did the customer purchase?$ {\\text{A}}{\\text{. 10}} \\\\{\\text{B}}{\\text{. 11}} \\\\{\\text{C}}{\\text{. 12}} \\\\{\\text{D}}{\\text{. 13}} \\\\{\\text{E}}{\\text{. 14}} \\\\ $

A coffee container is $\\dfrac{3}{5}$ full of beans. These beans are then put into another container having volume thrice of the first one. What fraction of the large box is filled with beans?(A) $\\dfrac{2}{5}$(B) $\\dfrac{1}{5}$(C) $\\dfrac{3}{5}$(D) $1$

A certain amount of money is distributed among A B and C. A gets \\[\\dfrac{3}{16}\\] and B gets \\[\\dfrac{1}{4}\\] of the whole amount. If C gets Rs.81; then what does B get?(a) Rs.36(b) Rs.56(c) Rs.46(d) Rs.63

A class consists of 50 students out of which 30 are girls. The mean of marks scored by girls in a test is 73 (out of 100) and that of boys is 71. Determine the mean score of the whole class.

Volume of a cube whose edge measures 5.8 cm is:(a) 165.12 cubic cm(b) 155.1121 cubic cm(c) 195.112 cubic cm(d) 175.21 cubic cm

A conical flask is full of water. The flask has base-radius $r$ and height $h$. The water is poured into a cylindrical flask of base-radius $mr$. Find the height of water in the cylindrical flask.

A dealer sells a toy for Rs.24 and gains as much percent as the cost price of the toy. Find the cost price of the toy.

A cement company earns a profit of Rs. 8 per bag of white cement sold and a loss of Rs. 5 per bag of grey cement sold. if the company sells 3000 bags of white cement and 5000 bags of grey cement in a month. What is its profit or loss?

A cardboard is 4.5 m long and 3.5 m wide. What is the cost of painting it on both sides at the rate of Rs. 1.25\\[{{m}^{2}}\\] per is?

Add $7{{x}^{3}}+2{{x}^{2}}-5x-7\\ \\And \\ -5{{x}^{2}}+{{x}^{3}}+4x-5$.

What is 45% in decimal?A. 0.45B. 0.0045C. 45.00D. 0.54

Three sets of English Hindi and Mathematics books have to be stacked in such a way that all the books are stored topic-wise and the height of each stack is the same. The number of English books is 96 the number of Hindi books is 240 and the number of Mathematics books is 336. Assuming that the books are of the same thickness determine the number of stacks of English Hindi and Mathematics books.

ABCD is a rhombus whose diagonals intersect at E. Then \\[\\overrightarrow{EA}+\\overrightarrow{EB}+\\overrightarrow{EC}+\\overrightarrow{ED}\\] equalsA. \\[\\overrightarrow{0}\\] B. \\[\\overrightarrow{AD}\\]C. \\[2\\overrightarrow{BC}\\] D. $2\\overrightarrow{AD}$

Additive inverse of the rational expression $x-\\dfrac{1}{x}$ will be [a] $x+\\dfrac{1}{x}$[b] $-x+\\dfrac{1}{x}$[c] $\\dfrac{{{x}^{2}}-1}{x}$[d] $-\\dfrac{1}{x}+x$

A colour TV is available for Rs 13340 inclusive of VAT. If the original cost of TV is Rs 12000 find the rate of VAT.

A brother asks his sister for $Rs100$ so that he can be $3$times as rich as her sister but the sister tells her brother to give her $Rs400$ so that she can be $7$times as rich as his brother. How much money do the brother and sister have now?

A boy saves Rs 4.65 daily than the least number of days in which he will be also to save an exact number of rupees is

A B and C working together can finish a piece of work in \\[8\\] hours. A alone can do it in \\[20\\] hours and B alone can do it in \\[24\\] hours In how many hours will C alone do the same work?

“A contractor estimates that 3 persons could rewire Jasminder’s house in 4 days. If he uses 4 people instead of three how long should they take to complete the job?”

A bus travels at $ v\\text{ km\/hr} $ . It is going from Daspur to Beespur. After the bus has travelled 5 hours Beespur is still 20 km away. What is the distance from Despur to Beespur? Express it using $ v $ .

A copper wire 3mm in diameter is wound about a cylinder whose length is 12cm and diameter 10cm so as to cover the curved surface of the cylinder. Find the length and mass of the wire assuming the density of copper to be \\[8.88g\/c{m^3}\\]. ( Use \\[\\pi = 3.14\\]).

A and B start a business with investment of Rs 5000 and Rs 4500 respectively. After 4 months A takes out half of his capital. After two more months B takes out one – third of his capital while C joins them with a capital of Rs 7000. At the end of year they earn a profit of Rs 5080. Find the share of each member in the profit.(a) A – Rs 1400 B – Rs 1900 C – Rs 1780(b)A – Rs 1600 B – Rs 1800 C – Rs 1680(c) A – Rs 1800 B – Rs 1500 C – Rs 1780(d) None of these

A cloth merchant on selling 44 metres of cloth gets a profit equal to the selling price of 22 metres of the cloth. Find his profit percentage.

A and B can complete work together in 5 days. If A works at twice his speed and B at half of his speed this works can be finished in 4 days. How many days would it take for A alone to complete the job?

Add by using the Horizontal method ${m^v} + n - 1{\\text{ and }}{n^v} + 2{m^v} + n$.

What should be added to $ 3{x^3} - 2{x^2} + 5x + 1 $ so that the sum becomes $ {x^3} - 2{x^2} + 4x - 1 $ ?

A contractor undertook a contract to complete a part of a stadium in 9 months with a team of 560 persons. Later on it was required to complete the job in 5 months. How many extra persons should he employ to complete the work?

A and B can do a job together in 7 days. A is $1\\dfrac{3}{4}$ times as efficient as B. The same job can be done by A alone in:A.$9\\dfrac{1}{3}$ daysB.11 daysC.$12\\dfrac{1}{4}$ daysD.$16\\dfrac{1}{3}$ days

$5929$ students are sitting in an auditorium in such a manner that there are as many students in a row as there are rows in the auditorium. How many rows are there in the auditorium?

Ranjit scores 80 marks in English and $x$ marks in Hindi. What is his total score in the two subjects?

A car takes 30 mins to travel 90 km between Shamshabad to Yadadri then find the speed.

A circular flower garden has an area of $314 {m^2}$. A sprinkler at the centre of the garden can cover an area that has a radius of 12m. Will the sprinkle water the entire garden? (Take $\\pi $ = 3.14)

A dealer earned a profit of $5\\% $ by selling a radio for ${\\text{Rs}}{\\text{.714}}$ . Find the cost price of the radio?

A circular park has a path of uniform width around it. The difference between outer and inner circumference of the circular path is 132m. Its width is: Take $\\left( {\\pi = \\dfrac{{22}}{7}} \\right)$.\n \n \n \n \n A.22mB.20mC.21mD.24m

A chemist has one solution which is 50% acid and second which is 25% acid. How much of each should be mixed to form 10 litres of 40% acid solutions

A boy was asked to find the LCM of 3 5 12 and another number. But while calculating he wrote 21 instead of 12 and yet came with the correct answer. What could be the fourth number?

10 years ago the average age of a family of 4 members was 24 years. Two children having been born(with an age difference of 2 years) the present average age of the family is again 24 years. Then the present average age of the family is again 24 years. Then the present age of the youngest child is :A. 1 yearB. 2 yearsC. 3 yearsD. 4 years

A diamond worth Rs. 1 44 400 breaks into two pieces. The weight of these two pieces are in the ratio of 11:8. If the value of the diamond is proportional to the square of its weight then what will be the loss due to its breakage(in Rs.)?

A and B together can complete a task in 7 days. B alone can do it in 20 days. What part of the work was carried out by A? I.A completed the job after A and B worked together for 5 days.II.Part of the work done by A could have been done by B and C together in 6 days.A.I alone is sufficient while II alone is not sufficient to answer.B.II alone is sufficient while I alone is not sufficient to answer.C.Either I or II alone sufficient to answerD.Both I and II are not sufficient to answer.E.Both I and II are necessary to answer.

ABCD and BCEF are parallelograms. If area of $ \\Delta EBC = 480c{m^2} \\ \\ AB = 30cm\\ \\ and\\ \\ BC = 40cm. $ Calculate area of parallelogram ABCD.\n \n \n \n \n \\[A.\\ \\ 960c{m^2} \\\\B.\\ \\ 860c{m^2} \\\\C.\\ \\ 280c{m^2} \\\\D.\\ \\ 130c{m^2} \\\\E.\\ \\ 1960c{m^2} \\\\ \\]

Aaron had Rs.2100 left after spending 30% of the money he took for shopping. How much money did he take along with him?(a) Rs.2000(b) Rs.7000(c) Rs.3000(d) Rs.210

A certain sum of money is invested at the rate of \\[10\\% \\] per annum compound interest the interest compounded annually. If the difference between the interests of third year and first year is ₹\\[1 105 \\] find the sum invested.

A car covers 150 km in 3 hours. How much distance would the car cover in 12 minutes?

(1) Write 2 rupees 5 paise and 2 rupees and 50 paise in decimals. (2) Write 20 rupees 7 paise and 21 paise 75 paise in decimals.

A bank offers $5\\% $ compound interest calculated on a half-yearly basis. A customer deposits Rs.$16000$ each on${\\text{1st}}$January and ${\\text{1st}}$ July of a year. At the end of the year the amount he would have gained by the way of interest is-A.$Rs.1200$ B.$Rs.1210$ C.$Rs.1220$ D.$Rs.1230$

A car travels from $ P $ to $ Q $ at a constant speed. If its speed were increased by $ 10km\/hr $ it would have taken one hour less to cover the distance. It would have taken further $ 45 $ minutes less if the speed was further increased by $ 10km\/hr $ . What is the distance between the two cities?A. $ 420km $ B. $ 540km $ C. $ 600km $ D. $ 650km $

A computer marked at Rs.18000 was sold at Rs.15840. Find the percentage of the discount.

1. Give an example of 2 irrational numbers whose sum is rational.2. Give an example of 2 irrational numbers whose product is rational.

A dealer of scientific instruments allows a 20% discount on the marked price of the instrument and still makes a profit of 25%. If his gain over the sale of an instrument is Rs. 150 find the marked price of the instrument.

100 persons have food provision for 4 days. If 20 persons left the place the provision will last forA) 30 daysB) 5 daysC) 120 daysD) 40 days

A can do work in 9 days. If B is 50% more efficient than A then in how many days can B do the same work?\\[\\begin{align} A.13.5 \\\\ B.4.5 \\\\ C.6 \\\\ D.5 \\\\ \\end{align}\\]

A clock is set to show the correct time at 11:00 a.m. The clock gains 12 minutes in 12 hours. What will be the correct time when the clock indicates 5:30 p.m. the next day?A). 5.00 p.m.B). 5.10 p.m.C). 5.20 p.m.D). 6.00 p.m.E). 5.48 a.m.

A B and C start from the same place and travel the same directions at speeds of \\[30 \\text{ }40\\text{ }and\\text{ }60\\text{ }km\/hr\\]respectively. B starts two hours after A. If B and C overtake A at the same instant how many hours after A did C start?A) \\[3\\]B) \\[3.5\\]C) \\[4\\]D) \\[4.5\\]

A batch of bottles were packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box how many boxes would be filled?\n \n \n \n \n

25 bags of rice weighing 40kg cost Rs2750\/- Find the cost of 35 bags of rice bag weight 50kg.

A child prepares a poster on ‘Save energy’ on a square sheet whose each side measures 60cm. At each corner of the sheet she draws a quadrant of radius 17.5cm in which she shows the ways to save energy. At the center she draws a circle of diameter 21cm and writes a slogan in it. Write the four ways by which energy can be saved. Why do we need to save energy?

A bag contains tomatoes potatoes and onions in the ratio \\[6:9:5\\]. If the weight of these vegetables in the bag is 2 kg find the weight of each of them.

7t = 10 find the value of t.

What is $ 1000\\;milligrams\\ in\\ kg? $ A. $ 0.1\\;kg $ B. $ 0.01\\;kg $ C. $ 0.001\\;kg $ D. $ 0.0001\\;kg $

30 cricket players and \\[20\\] kho-kho players are training on a field. What is the ratio of cricket players to the total number of kho-kho players?

A drum contains 100 litre oil from which 3 cans of capacity 3 litres 6 cans of capacity 5 litres and 10 cans of 3 litres are to be filled with oil.(i) How much oil will remain?(ii) How many cans of capacity 2 litres can be filled from the remaining quantity of oil?

A can do a work in 12 hours B can do it in 14 hours. They work alternatively starting from A. A earns Rs. $15\/hr.$ How much does he earn from the whole job?

What is 10 divided by (1 divided by 0.1)?

What is $ 6050.287 $ rounded to the nearest tenths?A. $ 6050 $ B. $ 6100 $ C. $ 6050.29 $ D. $ 6050.3 $

ABCD is a rectangle in which diagonal AC bisects $\\angle A$as well as $\\angle C$. Show that (I) ABCD is square (ii) diagonal BD bisects $\\angle B$ as well as $\\angle D$.

What is 15 % of 10 % of 20 % of 1000?(a). 1.50(b). 67(c). 150(d). 3

A and B are 2 stations 390 km apart. A train starts from A at 10 a.m. and travels towards B at 65 kmph. Another train starts from B at 11 a.m. and travels towards A at 35 kmph. At what time do they meet?

According to Euclid’s division algorithm using Euclid’s division lemma for any two positive integers a and b with a b enables us to find the$(a) {\\text{ H}}{\\text{.C}}{\\text{.F}} \\\\(b) {\\text{ L}}{\\text{.C}}{\\text{.M}} \\\\(c) {\\text{ Decimal expansion}} \\\\(d) {\\text{ Probability}} \\\\ $

A can contain a mixture of two liquids A and B in the ratio \\[7:5\\]. When 9 liters of mixture are drawn off and the can is filled with B the ratio of A and B becomes \\[7:9\\]. How many liters of liquid A was contained by the can initially?A.10B.20C.21D.25

When 75 is added to the 75% of a number it gives the same number. Find the number?

Given below is the area of three triangles. Fill in the blanks with their base or height as applicable.\n \n \n \n \n

A shopkeeper offers a 10% discount on the marked price of his articles and still makes profit of 20% . What is the actual cost of the article marked Rs.500 for him?A. Rs.350B. Rs.375C. Rs.400D. Rs.300

A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively when it is successively divided by 5 and 4 then the respective remainders will be A . 1 2B . 2 3C . 3 2D . 4 1

Avneet buys 9 square paving slabs each with a side of \\[\\dfrac{1}{2}\\]m.He lays them in the form of a square. What is the perimeter of his arrangement? (see figure)\n \n \n \n \n

Choose the correct answer. If p+3=9 then p is :A) $12$ B) $6$C) $3$D) $15$

: What is the cost of $3$ quintals $20$ kg of coal if $3$ quintals cost Rs.$3900$?

A rectangle box has height h cm. Its length is 5 times its height and breadth is 10 cm less than its length. Express the length. Express the length and breadth in terms of the height.

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