Free Mock Practice

Maths Mock Test in English

Mock Test: Mathematics

Medium: English

Number of questions: 25

New set of questions in re-attempt

1. 
The average score obtained by 64 boys and a certain number of girls in a test is 59. 15, while the average score obtained by the boys is 55.25. If the average score of the girls is 68.75, then how many girls appeared for the test?

2. 
\(\sqrt{(20+\sqrt{((22 +\sqrt{(2 +\sqrt{(40 + \sqrt{(81)}\big)}\bigg)}\Bigg)}\Bigg)}\)

3. 
If the selling price of five Bluetooth devices is ₹14,430 after allowing a discount of 26% on the marked price, then the marked price of one device is:

4. 
Two trains having lengths of 210 m and 140 m are running at speeds of 80 km/h and 150 km/h, respectively, in the same direction. The time taken (in minutes) by the faster train, coming from behind, to completely cross the other train is:

5. 
A shopkeeper bought an article for ₹500. At what price (in ₹) should he sell the article to make 28% profit?

6. 
\(\frac{0.0259\times 2.61}{0.7\times 18.5 \times 0.0087}\)

7. 

What is the number of gold coins, each having a radius of 0.875 cm and a thickness of 2 mm, that need to be melted to create a cuboid with dimensions 5.5cm\(\times\) 5 cm \(\times\) 3.5 cm? ( User \(\pi = \frac{22}{7}\))

8. 
Sunil, Basid, Vikram, and Kuldeep receive salaries in the ratio of 3 : 7 : 8 : 13. If the difference between the salaries of Sunil and Basid is ₹2,000, then what is the difference between the salaries (in₹) of Vikram and Kuldeep?

9. 
A shot – put made of iron with a diameter of 12 cm is melted into a solid cylinder with a height of 2 cm. What is the diameter of the cylinder made?

10. 
Find the simple interest (in ₹) on ₹2500 as a sum borrowed at 4% per year rate of interest for 4 years.

11. 
When difference between compound and simple interest for three years is ₹244 at 5% interest per annum, the principal is ₹______

12. 

Find the value of \([(42 \div 7)\times\{\frac{42}{3}+\frac{19}{4}\times (8 – 4 )\}]\)

13. 
The third proportional to x and x + 100 is 405, find the value of x ( where x >100).

14. 
Two trains running towards each other on parallel tracks, at speeds of 45 km/hr and 51 km/hr, take 21 seconds to cross each other. If the length of one train is 290 m, then the length (in m) of the other train is:

15. 

Find the value of \([(44\div 4) \times \{\frac{48}{8} + \frac{21}{5}\times (7 – 2)\}]\)
 

16. 
A trader marks his goods at 20% higher than the cost price. Further, he uses a weighing balance which shows 1200 grams for a kilogram. What is his profit percentage?

17. 
When difference between compound and simple interest for three years is ₹228 at 4% interest per annum, the principal is ₹______

18. 
If the radius of a sphere is tripled, what is the ratio of the volume of the original sphere to that of the new sphere?

19. 
Nitin has ₹1617 with him. He divided it amongst his sons Pravin and Rishi and asked them to invest it at 10% rate of interest compounded annually. It was seen that Pravin and Rishi got same amount after 17 and 18 years respectively. How much (in ₹) did Nitin give to Pravin?

20. 
Find the simple interest (in ₹) on ₹2500 as a sum borrowed at 7% per year rate of interest for 5 years.

21. 
In the first 5 overs of a T-20 international cricket match, the run rate was only 5.6. What should be the run rate (approximately) in the remaining 15 overs to reach a target of 185 runs?

22. 
Find the simple interest (in₹)on ₹ 3000 as a sum borrowed at 9% per year rate of interest for 3 years.

23. 
Find the HCF of 24, 36 and 60.

24. 
Two cones have their heights in the ratio 4 : 3 and the radii of their bases in the ratio 1 : 2. Find the ratio of their volumes.

25. 
A dealer marks 20% above the cost price and allows a 20% discount. What is the profit or loss percent?

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