CAEC Mathematics Preparation Course: Part I: computing without a calculator

1. Fråga 1 av 16

   Without a calculator: 3/4 + 1/8 = ?

   • A4/12
   • B7/8
   • C3/32
   • D5/8
   Visa svar

   Svar: B. 7/8

   Use a common denominator: 3/4 = 6/8, and 6/8 + 1/8 = 7/8. Never add the denominators.

2. Fråga 2 av 16

   Write 2/5 as a percentage.

   • A25%
   • B0.4%
   • C40%
   • D4%
   Visa svar

   Svar: C. 40%

   2/5 = 2 ÷ 5 = 0.4, and 0.4 × 100 = 40%.

3. Fråga 3 av 16

   Without a calculator: 4 ÷ 2/3 = ?

   • A6
   • B2 2/3
   • C12
   • D1/6
   Visa svar

   Svar: A. 6

   To divide by a fraction, multiply by its reciprocal: 4 × 3/2 = 12/2 = 6.

4. Fråga 4 av 16

   Without a calculator: 2 1/2 × 1 1/3 = ?

   • A3 1/3
   • B1 7/8
   • C2 1/6
   • D3 5/6
   Visa svar

   Svar: A. 3 1/3

   Change to improper fractions: 5/2 × 4/3 = 20/6 = 10/3 = 3 1/3. Do not multiply the whole numbers and fractions separately.

5. Fråga 5 av 16

   Without a calculator: 5 3/4 − 2 7/8 = ?

   • A2 1/8
   • B2 7/8
   • C3 7/8
   • D3 1/8
   Visa svar

   Svar: B. 2 7/8

   5 3/4 = 46/8 and 2 7/8 = 23/8. 46/8 − 23/8 = 23/8 = 2 7/8.

6. Fråga 6 av 16

   Without a calculator: 12.4 − 3.75 = ?

   • A8.75
   • B8.65
   • C9.35
   • D9.65
   Visa svar

   Svar: B. 8.65

   Line up the decimal points: 12.40 − 3.75 = 8.65. Write 12.4 as 12.40 so both numbers have two decimal places.

7. Fråga 7 av 16

   Without a calculator: 0.6 × 0.4 = ?

   • A2.4
   • B0.024
   • C1
   • D0.24
   Visa svar

   Svar: D. 0.24

   6 × 4 = 24. There are two decimal places in total (0.6 and 0.4), so the answer is 0.24.

8. Fråga 8 av 16

   Without a calculator: what is 15% of 80?

   • A12
   • B120
   • C65
   • D1.2
   Visa svar

   Svar: A. 12

   10% of 80 is 8 and 5% is 4, so 15% is 8 + 4 = 12.

9. Fråga 9 av 16

   Without a calculator: −7 + 12 − (−3) = ?

   • A22
   • B−2
   • C2
   • D8
   Visa svar

   Svar: D. 8

   Subtracting a negative is the same as adding: −7 + 12 + 3 = 8.

10. Fråga 10 av 16

    Without a calculator: (−4) × (−6) ÷ 3 = ?

    • A24
    • B−24
    • C−8
    • D8
    Visa svar

    Svar: D. 8

    A negative times a negative is positive: (−4) × (−6) = 24, and 24 ÷ 3 = 8.

11. Fråga 11 av 16

    Use the order of operations: 3 + 4 × 2² = ?

    • A121
    • B19
    • C67
    • D28
    Visa svar

    Svar: B. 19

    BEDMAS: exponents first (2² = 4), then multiply (4 × 4 = 16), then add (3 + 16 = 19).

12. Fråga 12 av 16

    Use the order of operations: 18 − 6 ÷ 3 + 2 = ?

    • A14
    • B6
    • C18
    • D2.4
    Visa svar

    Svar: C. 18

    Divide first: 6 ÷ 3 = 2. Then work left to right: 18 − 2 + 2 = 18.

13. Fråga 13 av 16

    Solve for x: x + 3.5 + 1.5 = 12

    • Ax = 7
    • Bx = 17
    • Cx = 8.5
    • Dx = 10.5
    Visa svar

    Svar: A. x = 7

    Combine the numbers: 3.5 + 1.5 = 5. Then x + 5 = 12, so x = 12 − 5 = 7.

14. Fråga 14 av 16

    Solve for x: x + (−4) + 9 = 2

    • Ax = −3
    • Bx = 7
    • Cx = −11
    • Dx = 15
    Visa svar

    Svar: A. x = −3

    −4 + 9 = 5, so x + 5 = 2. Subtract 5 from both sides: x = 2 − 5 = −3.

15. Fråga 15 av 16

    Use the order of operations: 1/2 + 3/4 × 2 = ?

    • A7/8
    • B2 1/2
    • C2
    • D1 1/4
    Visa svar

    Svar: C. 2

    Multiply first: 3/4 × 2 = 6/4 = 1 1/2. Then add: 1/2 + 1 1/2 = 2.

16. Fråga 16 av 16

    A recipe needs 3/4 kg of flour. You make half the recipe. How much flour do you need?

    • A3/8 kg
    • B1 1/4 kg
    • C1 1/2 kg
    • D1/4 kg
    Visa svar

    Svar: A. 3/8 kg

    Half of 3/4 means 3/4 × 1/2 = 3/8 kg.

Tangentbord: 1–4 för att svara, Enter för nästa fråga.

Det riktiga provet: 55% on each CAEC test