Simplification questions with solutions

1. Question 1Easy

   Solve: 18 + 11 × 2

   • A.26
   • B.40Correct
   • C.34
   • D.46
   • E.54
   Show solution

   By BODMAS, multiply first: 11 × 2 = 22, then 18 + 22 = 40.

2. Question 2Easy

   What value should come in place of the question mark? (3/8 of 1440) + (5/12 of 864) = ?

   • A.840
   • B.870
   • C.900Correct
   • D.930
   • E.960
   Show solution

   Divide before multiplying and the numbers stay small. For the first term, 1440 / 8 = 180, and 180 x 3 = 540. For the second, 864 / 12 = 72, and 72 x 5 = 360. The total is 900. Multiplying first would mean handling 4320 and 4320 respectively, which is slower and where errors creep in.

3. Question 3Easy

   Find the value of √784 + 14.

   • A.38
   • B.56
   • C.28
   • D.46
   • E.42Correct
   Show solution

   √784 = 28, so the value is 28 + 14 = 42.

4. Question 4Easy

   Find the value of 21² − 20².

   • A.27
   • B.55
   • C.49
   • D.33
   • E.41Correct
   Show solution

   Using a² − b² = (a+b)(a−b) = 41 × 1 = 41.

5. Question 5Easy

   Find the value of √441 + 7.

   • A.26
   • B.44
   • C.28Correct
   • D.12
   • E.30
   Show solution

   √441 = 21, so the value is 21 + 7 = 28.

6. Question 6Easy

   Find the value of 28² − 27².

   • A.51
   • B.59
   • C.53
   • D.55Correct
   • E.57
   Show solution

   Using a² − b² = (a+b)(a−b) = 55 × 1 = 55.

7. Question 7Easy

   Solve: 24 x 15 / 6 + 38 - 12 = ?

   • A.82
   • B.84
   • C.86Correct
   • D.88
   • E.90
   Show solution

   Follow the order of operations. 24 x 15 = 360, and 360 / 6 = 60. Then 60 + 38 = 98, and 98 - 12 = 86. Multiplication and division are cleared before addition and subtraction, which is what keeps this from becoming 24 x 15 / (6 + 38).

8. Question 8Easy

   What is the value of 15% of 480 + 25% of 320?

   • A.144
   • B.148
   • C.152Correct
   • D.156
   • E.160
   Show solution

   15% of 480 = 480 x 15/100 = 72. 25% of 320 is a quarter of 320 = 80. Adding gives 72 + 80 = 152. Converting percentages to fractions first (15% is 3/20, 25% is 1/4) is faster than multiplying out, and it is the habit that saves seconds across a whole section.

9. Question 9Easy

   Find the value of 11² − 10².

   • A.13
   • B.5
   • C.29
   • D.37
   • E.21Correct
   Show solution

   Using a² − b² = (a+b)(a−b) = 21 × 1 = 21.

10. Question 10Easy

    Find the value of √0.64 + √1.44.

    • A.2.2
    • B.1.8
    • C.1.6
    • D.2.0Correct
    Show solution

    √0.64 = 0.8 and √1.44 = 1.2, so the sum is 2.0.

11. Question 11Easy

    Find the value of √676 + 2.

    • A.16
    • B.42
    • C.40
    • D.14
    • E.28Correct
    Show solution

    √676 = 26, so the value is 26 + 2 = 28.

12. Question 12Easy

    What is the value of 15% of 240 + 25% of 160?

    • A.78
    • B.74
    • C.76Correct
    • D.72
    Show solution

    15% of 240 is 36 and 25% of 160 is 40, so the total is 36 + 40 = 76. Convert each percentage to a fraction of its base before adding.

These are 12 of 99 simplification questions in the bank. Attempt the rest with instant feedback in the practice drills, or under a clock in the mock tests.