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Published on: 13/12/2018
Education and Training set the curriculum for all schools that follow the Central Board of Secondary Education (CBSE) across the nation. The important questions provided below will also make students familiar with the marking scheme and the difficulty level of the exam. The important questions for CBSE class 8 Mathematics are prepared by subject experts according to the latest syllabus of CBSE. Students are advised to solve these important questions which can make them more focused on their exam and also bring a sense of discipline and seriousness in their exam preparation.
Creative questions were added in this question paper in order to enhance the student's knowledge and get the idea that how to answer strategic questions asked in the board exams. This question paper is designed based on the academic syllabus. Sample papers should be practiced in examination condition at home or school and also show it to your teachers for checking or compare with the answers provided.
In this post, the questions are covered from the chapter Comparing Quantities and questions are prepared from the creative as well as the previous year questions.
Download CBSE Class 8th Standard CBSE Mathematics question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 8th Standard CBSE Mathematics
Questions + Answers key
Take MCQ Mathematics Test

1.
A computer monitor is marked at Rs 15600 and it is available for Rs 12480. Find the discount given and discount percent.
2.
Shivam invests Rs 93750 at 9.6% per annum for 3 yr and the interest is compounded annually, calculate the interest for the third year.
3.
Convert the following ratios to percentages. 2:3
4.
A man bought a car for Rs 4,20,000. Its value depreciated at the rate of 8% per annum. Find the value of the car after one year.
5.
A general store offers 20% discounts on all items. What would be the sale price of an item having its marked price as Rs 1500?
6.
If Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning?
7.
Rahul bought a TV for Rs 89,600 including a tax of 12%. Find the cost of the TV before VAT was added.
8.
Brinda purchased 18 coats at the rate of Rs1500 each and sold them at a profit of 6%. If customer is to pay sales tax at the rate of 4%, then how much will one coat cost to the customer and what will be the total profit earned by Brinda after selling all coats?
9.
If marked price of an article is Rs 800 and it is sold at Rs 760, then find the discount rate.
10.
Rahul's salary is increased by 15% and then decreased by 15%. Find the net percentage change in his salary.
11.
Find Selling Price (SP), if a profit of 5% is made on a cycle of Rs 700 with Rs 50 as overhead charges.
12.
The S.l. of Rs. 100 of 1 year at the rate of 3 paise per rupee per month is
Rs.30
Rs.36
Rs.24
Rs.48
13.
Vimla purchased a watch for Rs. 500. She sold it at a loss of 20%. Find the selling price.
Rs.500
Rs.400
Rs.300
Rs.200
14.
Out of 100 students of a class, 30% like to watch T.V. How many students like to watch T.V. ?
70
50
60
30
15.
The ratio of 10 m to 1 km is
1:10
10:1
1:100
100:1
16.
If the interest is compounded quarterly. the time period becomes:
half the annual rate
one-fourth of the annual rate
twice the annual rate
four times the annual rate
17.
If the interest is compounded quarterly, then the 'rate of interest per annum':
reduced to half
reduced to one-fourth
is doubled
becomes four times.
18.
The discount is always calculated on which of the following?
s. p
c.p
marked price
none of these.
19.
Asurn is taken for 2 yr at 16% per annum, If interest is compounded after every three months, the number of times for which interest is charged in 2 yr is
8
4
6
9
20.
Avinash bought an electric iron for Rs 900 and sold it at a gain of 10%. He sold another electric iron at 5% loss which was bought for Rs 1200. On the transaction, he has a
profit of Rs 75
loss of Rs 75
profit of Rs 30
Loss of Rs 30
21.
After allowing a discount of 15% on the market price of a pen drive, it is sold for Rs 680. The market price of the article is
Rs 700
Rs 600
Rs 800
Rs 750
22.
A shopkeeper purchased an item for Rs 100 and spent Rs 15 on its transportation.
The actual cost price of the item for the shopkeeper is Rs 85 or Rs 115?
23.
The formula for calculating the compound interest is \(P[1-{R\over 100}]^n or\ P[1+{R\over 100}]^n ?\)
1.
Marked price of the monitor = Rs 15600
Sales price of the monitor = Rs 12480
\(\therefore\)Discount = [Marked price] - [Sales price]
= Rs 15600 - Rs 12480 = Rs3120
\(\therefore\)Discount per cent = \(3120\over 15600\)x 100% = 20%
2.
Rs 10810.94
3.
Given ratio = 2 :3
∴ Percentage =\((\frac{2}{3}\times100)=(\frac{200}{3})=66\frac{2}{3}\)%
4.
Rs 386400
5.
Rs 1200
6.
Let Chameli had total money be Rs x.
Percentage of money spent by Chameli = 75%
Chameli had left money after spending = (100 - 75)%
= 25%
But money left = Rs 600 [given]
∴ 25% of x = 600
⇒ \(\frac{25}{100}\times x=600 \Rightarrow x=\frac{600\times100}{25}=2400\)
Hence, Chameli had Rs 2400 in the beginning.
Alternate Method
Let total money with Chameli at the beginning be Rs 100.
Expenditure money = 75% of total money
\(= Rs(\frac{75}{100}\times100)=Rs 75\)
Money left = Rs 100 - Rs 75=Rs 25
Now, if saving is Rs 25, then money at the beginning = Rs 100
If saving is Rs 1, then money at the beginning = Rs \(\frac{100}{25}\)
If saving is Rs 600, then money at the beginning
\(= Rs (\frac{100}{25}\times 600)=Rs(4\times 600)= Rs 2400\)
Hence, total money at the beginning with Chameli was Rs 2400.
7.
Let the cost of TV before VAT (or the original cost) be Rs 100
\(\therefore\) VAT = 12% of the original cost
= \(12\over100\) x Rs 100 = Rs 12
\(\therefore\)Cost of TV including VAT = Rs 100 +Rs12 = Rs 112
If price including VAT is Rs 112, then original cost = Rs 100
If price including VAT is Rs 89,600, then original
cost = \(100\over112\) x 89,600 = Rs 80,000
8.
Rs 1653.60, Rs 1620
9.
We have, marked price = Rs 800
and selling price = Rs 760
∴ Discount = Marked Price - selling price
= Rs 800 - Rs 760 = Rs 40
Let the discount rate be x%.
Then, x% of marked price = 40
⇒ \(\frac{x}{100}\times 800=40\)
⇒ x = \(\frac{40\times 100}{800}\)
∴ x = 5%
10.
2.25%
11.
Given, cost price of a cycle = Rs 700
and overhead charges = Rs 50
Total cost price of a cycle = Cost price of a cycle + Overhead charges
= Rs (700 + 50) = Rs 750
Also, given profit in per cent = 5%
Now, profit = 5% of total cost price of a cycle
= 5% of Rs 750
\(=(\frac{5}{100}\times750)=(\frac{3750}{100})\)= Rs 37.50
∴ Selling price of a cycle = Total cost price of a cycle + Profit
= Rs (750 + 37.50) = Rs 787.50
Hence, the selling price of a cycle is Rs 787.50.
12.
S.l. = 100 x 1 x (3 x 12) = 3600 paise
= Rs. 36
13.
100 - 20 = 80
∵ If C.P. is 100, then S.P. = Rs. 80
∴ If C.P. is Rs. 500, then S.P.
= \(\frac { 80 }{ 500 } \times \)500 = Rs.400.
14.
Number of students who like to watch
T.V. = 30% of 100 = \(\frac { 30 }{ 100 } \) x 100 = 30.
15.
1 km = 1000 m
10 m : 1000 m or 10 : 1000 or 1 : 100.
16.
(d)
four times the annual rate
17.
18.
(c)
marked price
19.
(a)
8
20.
(c)
profit of Rs 30
21.
(c)
Rs 800
22.
( )
Rs 115
23.
( )
\(\ P[1+{R\over 100}]^n \)
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