以下是20個適合初中生的數學題目,包括代數、幾何和機率。題目難度逐漸增加。

1. 解方程:3x - 5 = 11

2. 解方程:2(x + 3) = 16

3. 計算:(3x + 4) × 2 - 5x = 21

4. 計算:(x + 5)² - (x - 3)² = 56

5. 解一元一次不等式:3x - 2 > 5

6. 解一元一次不等式:x - 4 < 2x + 3

7. 計算:(2/3) × (3/4) × (4/5) × (5/6)

8. 計算:(1/2) + (2/3) + (3/4) + (4/5)

9. 計算:(3/4) × (4/5) - (5/6) × (6/7)

10. 計算:(1/2) × (2/3) × (3/4) × (4/5) × (5/6)

11. 已知直角三角形ABC,其中∠C = 90°,AB = 6 cm,BC = 8 cm。求AC的長度。

12. 已知等腰三角形ABC,其中AB = 10 cm,BC = 12 cm。求AC的長度和∠B的度數。

13. 已知圓的半徑為r,求該圓的面積。

14. 已知圓的面積為A,求該圓的半徑。

15. 一個骰子有6個面,每個面有一個點數(1至6)。擲骰子一次,求擲得點數為奇數的機率。

16. 隨機抽取5張卡片,其中3張是紅色,2張是藍色。求抽取的5張卡片都是紅色的機率。

17. 一輛汽車以60公里/小時的速度行駛。計算6小時內行駛的距離。

18. 某商店有兩件商品,商品A的價格是商品B的1.5倍。如果購買商品A有8折優惠,購買商品B有5折優惠,那麼購買兩件商品總共可以節省多少百分比?

19. 解一元二次方程:x² - 6x + 9 = 0

20. 已知拋物線y = ax² + bx + c與x軸相交於點A(1, 0)和B(-2, 0),與y軸相交於點C(0, 3)。求a、b和c的值。

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以下是20個適合小學生的數學題目

1. 5 + 3 =

2. 9 - 2 =

3. 6 × 4 =

4. 12 ÷ 4 =

5. 7 + 8 - 5 =

6. 15 - 7 + 9 =

7. 8 × 3 - 5 =

8. 18 ÷ 3 × 2 =

9. 36 ÷ (6 × 2) =

10. 12 + 5 - 3 × 2 =

11. 7 × (6 - 2) =

12. (9 + 4) × 2 =

13. 15 ÷ (3 × 2) + 4 =

14. (7 + 5) × (4 - 2) =

15. 24 ÷ (4 × 3) =

16. 18 - (7 + 2) × 3 =

17. 10 × (6 - 4) + 3 =

18. (8 × 2) ÷ (4 + 2) =

19. 27 ÷ (3 × 3) - 6 =

20. (9 + 5) × (3 - 1) =

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