FREE Basic Math Practice Exercise
These ‘FREE Basic Math Practice Exercise’ made with intention to provide a complete practice exercise to make the important points into your figure tips and avoid silly mistakes. If you get full grip on your calculation skill, you can perform much better in quantitative section preparation of next level study plan. If you got +85% correct answers in these drill sets, that is the time you must proceed to next level of study plan.
Mixed Practice Exercise:


Mixed Practice Answer Sheet:
1. 19
2. –3
3. 8
4. 89
5. –65
6. ¼
7. 9/1600
8. –4/9
9. –2
10. –5/31
11. 6
12. 2√2
13. 1/6
14. 9√3
15. 45
16. 49/60
17. –3
18. x = 8, y = 3
19. –16/3
20. 27
21. 3
22. –22
23. 2
24. –4
25. 24/21
26. 0
27. 15
28. 2x – 8
29. 9
30. x15
Practice Exercise (Drills)






Answer Sheet:
Drill 1:
1. 31
2. 3
3. 5
4. 2
5. 20
6. –1
7. 24
8. 3
9. –22
10. 120
Drill 2:
11. 13
12. 2
13. –4
14. –25
15. –4
16. 100
17. 150
18. –97
19. 50
20. 0
Drill 3:
21. –2πr
22. 5 + 2√2
23. 12xy2 – 2x2y2
24. (x + 1)π
25. (x – 1)2
26. 12xy – 6x – 2y
27. 2x – 8
28. 2π2r2 + πr + 3πr2
29. –3x2 – 4
30. 4x2 – 2x
Drill 4:
31. 15 – 3y
32. –a + b or b – a
33. 2xz + yz
34. √6 + 3
35. 4rt – 52rs
36. –370x + 630
37. 6k3l – 12k2l2
38. 6n – 9
39. d3 – 2d2 + d
40. x3y2z2 + xy3z3 – x2y4z
Drill 5:
41. x8
42. 715
43. 52
44. a6
45. 43 (Correction: In question # 45, the second value is not 45, it’s actually 45)
46. (–3)(a – 2)
47. 3–6
48. 11(4 – x)
49. x10
50. 52x
Drill 6:
51. 37
52. x9
53. 54x + 2
54. y9
55. x7
56. z10
57. 38x + 3y
58. x15
59. z9y
60. 5y + 3

Please explain question 15 from mixed practice exercise
Hi Ayesha,
Square root must converted to 1/2.
Then -5 in exponent of denominator will become positive when we convert this into numerator i.e
1/x-5 = x+5
So you will get
35/2 × 35/2 = 35
And the numerator value will be
5 (3)-3
now multiply all values of same base (i.e 3)
you will get
3(5 – 3) = 32
So 9 × 5 = 45 Answer.
kindly explain the value of x in Q: 18/mixed practice exercise.
Breakdown this into primes i.e 26 into 2 and 13. 2 raised to power x will cancel out and then simplify by comparing the bases and exponents on both sides of equations. i.e 13 raised to power x equals 13 raised to power 8. So x = 8 etc.
Q: 35/Drill 4, the answer should be 10.4rt -52rs (not 4rt-52rs). Isn’t it?
thnk uuu sir ur free course helped me alot . most of the things i didnt even know about them but u taught me….. GOD BLESS U SIR…
Hi Aimal,
You are welcome 🙂
Thanks for the well wishes.