Part 1 Calculation 運算題
1. 25 ÷ 49 = ?
(correct to the nearest thousandths) 準確至最接近千分位
[2 marks]
2. 12.8 ÷ 2.5 ÷ 0.4 = ? [2 marks]
3. 0.4 × 1
4 + 0.8 × 1
8 + 0.16 × 1
16 = ? [2 marks]
4. 60% ÷ 0.5% = ? (Answer in percentage) [2 marks]
5. 10% × 25% × 40% = (Answer in percentage) [2 marks]
6. 12.5 ÷ 7 × 5.6 [2 marks]
7. 6.5 × 993
13 [2 marks]
8. 493 ÷ 116 = ? [2 marks]
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Part 2 Fundamental Questions 基礎題
9. 10 litres of water are poured into a plastic box with length 40 cm and width 20 cm. What is the height of the water level in cm?
把 10 升水注入長 40cm，闊 20cm 的 膠盒內，水的高度是多少 cm？
[3 marks]
10. If x + 27 = 15 , then 3x + 50 = ? 若x + 27 = 15 ，則3x + 50 = ? [3 marks]
11. Sally bought a pack of cheese balls and ate 1
3 of them. Later, she bought another pack of cheese balls and then ate 1
3 of all the remaining cheese balls. Finally, 90 cheese balls were left. How many cheese balls per pack are there?
小莉買了一包芝士球，吃掉 1
3 。後來 她再買多一包芝士球，然後吃掉全部
餘下的 1
3 。最後餘下 90 粒。問每包 芝士球原有多少粒？
[3 marks]
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12. A 3-d shape has 186 edges and 124 vertices. How many faces does this 3-d shape have?
一個立體有 186 條棱，124 個頂，這 個立體有多少個面？
[3 marks]
13. There is a promotion in a cake shop. Buy 3 get 2 free. What is the discount
percentage?
蛋糕店進行推廣，買三送二。即打了 多少折？
[3 marks]
14. The length of a ribbon is 90 cm. Kelly cuts the ribbon into segments of 4.6 cm each. Then she cuts the remaining part of the ribbon into segments of 1.3 cm each.
How many segments are cut from the ribbon?
某絲帶長 90 cm。小潔把絲帶剪成每 4.6 cm 一段，然後把餘下的絲每 1.3 cm 剪成一段。最後共剪成絲帶多少 段？
[3 marks]
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15. There are two groups of squares. How many cm2 larger is the total area of the group 1 than that of the group 2?
下圖有兩組正方形，組一的總面積比 組二的總面積大多少 cm2？
[3 marks]
Group 1 組一 Group 2 組二
2020cm2 2017cm2 2019cm2 2018cm2
16. Number A is 2
3 of number B. Number B is 0.8 times that of number C. What percentage of number A is number C?
甲數是乙數的 2
3 ，乙數是丙數的 0.8 倍。丙數是甲數的百分之幾？
[3 marks]
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17. The figure below is made of 4 identical semicircle and a square. If the perimeter of the square is 2.8 cm. Find the
perimeter of the figure in cm.
(take = 22 7 )
下圖由四個大小相同的半圓及一個正 方形組成。若正方形的周界是 2.8 cm，下圖的周界是多少厘米？
(取 = 22 7 )
[3 marks]
18. The radius of a wheel of a bicycle is 21 cm. At least how many complete cycles of the wheel are needed to travel 300 metres?
單車車輪半徑 21 厘米。要行走 300 米，最少要轉動多少個完整的圈？
[3 marks]
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Part 3 O Math Questions 奧數題
19. There is a bag of flour. 20% is used at first, then 10% of the remaining flour is used later. If a total of 1.4 kg of flour is used, how many kg of flour are there originally?
麵粉一包，先用去 20%，再用去餘 下的 10%。若最後共用去 1.4 公斤。
這包麵粉原有多少公斤？
[4.5 marks]
20. A total of 22 people from two schools A and B take part in a competition. 1
5 of the number of participants in school A is 1 fewer than that in school B. How many participants are there in school B?
甲、乙兩校共有 22 人參加競賽赛，
甲校參加人數的 1
5 比乙校參加人數
的 1
4 少 1 人，乙校有多少人參加？
[4.5 marks]
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21. 400 stickers are shared among some students. Each student can get at least one sticker, but not more than 11
stickers. At least how many students get the same number of stickers?
將 400 張貼紙分給若干名同學，每人 都能分到至少一張貼紙，但都不能超 過 11 張，最少有多少名同學得到的 貼紙張數相同？
[4.5 marks]
22. A, B, C, D, E and F are 6 points on a circle. Find the number of triangles that can be formed by linking these points.
A、B、C、D、E 和 F 為圓上的 6 點。求用這 6 點可以連起組成的三角 形的數量。
[4.5 marks]
23. Tommy was born in a day in 2002. The product of the day, month and year of the date of his birth is 638638. Which month was Tommy’s birthday in?
小方在 2002 年某月某日出生。他出 生日期的年、月、日之積剛好是 638638。小方在哪月出生？
[4.5 marks]
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24. In the figure, ABCD is a trapezium, the length of CD is twice the length of AB, BC is 5 cm, DE is 8 cm, find the area of trapezium ABCD.
在圖中，ABCD 是梯形，CD 的長度 是 AB 的兩倍，BC 是 5cm，DE 是 8cm，求梯形 ABCD 的面積。
[4.5 marks]
25. In a simplest fraction, the numerator is 1 less than the denominator. If 83 is
subtracted from the numerator and 116 is added to the denominator, the
denominator is 6 times the numerator.
Find the original fraction.
一個最簡分數，分子比分母少 1。若 分子減去 83，分母加上 116，分母恰 好是分子的 6 倍。求原來的分數。
[4.5 marks]
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B E
C A
D
26. Rewrite 14 as the sum of some natural numbers, what is the largest product of those natural numbers?
把 14 寫成若干個自然數的和，問這 些數的積最大是多少？
[4.5 marks]
27. How many 3-digit numbers with the hundreds digit larger than the tens digit and the tens digit larger than the units digit are there?
百位大於十位，同時十位又大於個位 的三位數有多少個？
[4.5 marks]
28. The sum of four numbers A, B, C, D is 85.
= A2 + B3 + C4 + D5
= A3 + B4 + C5 + D6
= A4 + B5 + C6 + D7
Among , how many odd numbers
are there?
四個數字 A, B, C, D 之和是 85。
= A2 + B3 + C4 + D5
= A3 + B4 + C5 + D6
= A4 + B5 + C6 + D7
這幾個數中共有多少個奇數？
[4.5 marks]
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29. Find the integral part of the complex
fraction 1
1 30 +
1 31 +
1 32 +
1 33 +
1 34
after
simplification.
求繁分數 1
1 30 +
1 31 +
1 32 +
1 33 +
1 34
化簡
後的整數部份。
[4.5 marks]
30. X and Y starts their journeys from places A and B respectively towards each other.
When they start their journeys, the ratio of their speeds is 3:2. When they first meet, X increases his speed by 20%, Y increases his speed by 30%. Then, when X arrives at place B, Y is still 28 km apart from place A. What is the distance between places A and B in km?
甲、乙兩人分別從 A、B 兩地出發，
相向而行，出發時他們的速度比是 3：2。他們第一次相遇後，甲的速度 提高了 20%，乙的速度提高了
30%。這樣，當甲到達 B 地時，乙離 A 地還有 28 公里。那麼 A、B 兩地 間的距離是多少公里？
[4.5 marks]
End of paper 全卷完
