أسئلة الرياضيات الصف السادس مع الحل

15 سؤالاً تدريبياً في الرياضيات – الصف السادس

1. الفصل: Expanding a Natural Number According to the Powers of 10 · سهل

   1. 24 × 10³ = ?

   • A. 24 000
   • B. 720
   • C. 240 000
   • D. 2 400
   أظهر الجواب ▾

   Answer: 24 000

   Explanation: Write 3 zeros after 24: 24 000.

2. الفصل: Expanding a Natural Number According to the Powers of 10 · سهل

   2. Write 10 000 as a power of 10.

   • A. 10⁴
   • B. 10³
   • C. 10⁵
   • D. 4¹⁰
   أظهر الجواب ▾

   Answer: 10⁴

   Explanation: 4 zeros → exponent 4: 10⁴.

3. الفصل: G.C.F. and L.C.M. of Two Natural Numbers; Relatively Prime Numbers · سهل

   3. 5 and 15 are relatively prime.

   • A. True
   • B. False
   أظهر الجواب ▾

   Answer: False

   Explanation: G.C.F.(5, 15) = 5 → not relatively prime.

4. الفصل: G.C.F. and L.C.M. of Two Natural Numbers; Relatively Prime Numbers · سهل

   4. 15 and 9 are relatively prime.

   • A. True
   • B. False
   أظهر الجواب ▾

   Answer: False

   Explanation: G.C.F.(15, 9) = 3 → not relatively prime.

5. الفصل: Irreducible Fractions and Decimal Fractions · سهل

   5. A fraction is irreducible when its numerator and denominator are relatively prime.

   • A. True
   • B. False
   أظهر الجواب ▾

   Answer: True

   Explanation: Irreducible ⇔ G.C.F. = 1; decimal fraction ⇔ denominator a power of 10 (after simplifying: only 2s and 5s).

6. الفصل: Irreducible Fractions and Decimal Fractions · سهل

   6. 2/8 is irreducible.

   • A. True
   • B. False
   أظهر الجواب ▾

   Answer: False

   Explanation: G.C.F.(2, 8) = 2 → can be simplified to 1/4.

7. الفصل: Decimals: Fractional Writing and Expansion According to the Powers of 10 and of 1/10 · سهل

   7. Write 32.23 as a fraction with a power of 10 as denominator.

   • A. 3 223/100
   • B. 3 223/1 000
   • C. 32 230/100
   • D. 32/100
   أظهر الجواب ▾

   Answer: 3 223/100

   Explanation: 2 decimal digit(s) → denominator 100: 32.23 = 3 223/100.

8. الفصل: Decimals: Fractional Writing and Expansion According to the Powers of 10 and of 1/10 · سهل

   8. Write 22.26 as a fraction with a power of 10 as denominator.

   • A. 2 226/1 000
   • B. 22/100
   • C. 2 226/100
   • D. 22 260/100
   أظهر الجواب ▾

   Answer: 2 226/100

   Explanation: 2 decimal digit(s) → denominator 100: 22.26 = 2 226/100.

9. الفصل: Integers: Positive and Negative Numbers; the Number Axis; Comparison · سهل

   9. Compare: (+3) ___ (−11)

   • A. >
   • B. <
   • C. =
   أظهر الجواب ▾

   Answer: >

   Explanation: A negative is always smaller than a positive (or 0): 3 > −11.

10. الفصل: Integers: Positive and Negative Numbers; the Number Axis; Comparison · سهل

    10. What is the opposite of +15?

    • A. 0
    • B. +15
    • C. −15
    • D. +16
    أظهر الجواب ▾

    Answer: −15

    Explanation: Opposites have the same distance to 0 and opposite signs: −15.

11. الفصل: Addition and Subtraction of Integers · سهل

    11. (−7) − (−4) is equal to:

    • A. (−7) + (−4)
    • B. (−7) + (+4)
    • C. (+7) + (−4)
    • D. (+7) − (+4)
    أظهر الجواب ▾

    Answer: (−7) + (+4)

    Explanation: Subtracting a number = adding its opposite.

12. الفصل: Addition and Subtraction of Integers · سهل

    12. (−2) − (−7) is equal to:

    • A. (−2) + (−7)
    • B. (−2) + (+7)
    • C. (+2) + (−7)
    • D. (+2) − (+7)
    أظهر الجواب ▾

    Answer: (−2) + (+7)

    Explanation: Subtracting a number = adding its opposite.

13. الفصل: Multiplication and Division of Fractions · سهل

    13. What is the reciprocal of 7?

    • A. 1/7
    • B. 7
    • C. 8
    أظهر الجواب ▾

    Answer: 1/7

    Explanation: The reciprocal of a/b is b/a: 1/7 (product = 1).

14. الفصل: Multiplication and Division of Fractions · سهل

    14. What is the reciprocal of 1/9?

    • A. 2/9
    • B. 9
    • C. 1/9
    أظهر الجواب ▾

    Answer: 9

    Explanation: The reciprocal of a/b is b/a: 9/1 (product = 1).

15. الفصل: Powers: Exponents 2 and 3; Powers of 10 · صعب

    15. (6 × 3)² = ?

    • A. 36
    • B. 324
    • C. 54
    • D. 316
    أظهر الجواب ▾

    Answer: 324

    Explanation: Brackets first: 18² = 324.

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