1984 年

數學 · 共 52 題 · 點擊選項即時核對答案

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11.

If 3x+2yx+5y=1\dfrac{3x+2y}{x+5y}=1, then x+y:x−y=\sqrt{x+y}:\sqrt{x-y}=

12.

AA is 25%25\% taller than BB. BB is 25%25\% shorter than CC. AA's height : CC's height ==

13.

A rectangular box, without a lid, is 40 cm long, 30 cm wide and 10 cm high. The area of the external surface of the box is

14.

A man drives a car at 30 km/h for 3 hours and then at 40 km/h for 2 hours. His average speed for the whole journey is

15.

AA alone can complete a job in 8 hours. BB alone takes 12 hours and CC alone takes 6 hours. After AA and BB have worked together on the job for 3 hours, CC joins them. How much longer will they take to complete the job?

16.

The marked price of a book is 20%20\% above the cost price. If the book is sold at a discount of 10%10\% off the marked price, what is the gain per cent based on the cost price?

17.

tan⁡2θ1+tan⁡2θ+cos⁡2θ=\dfrac{\tan^2\theta}{1+\tan^2\theta}+\cos^2\theta=

18.

In the figure, BCDBCD is a straight line. ∠ADC=90∘\angle ADC=90^\circ and BC=10BC=10. AD=AD=

Question figure
19.

In the figure, cos⁡θ=\cos\theta=

Question figure
20.

In the figure, △ABC\triangle ABC lies in a horizontal plane. ∠BAC=90∘\angle BAC=90^\circ. HAHA is vertical and HA=hHA=h. tan⁡θ=\tan\theta=

Question figure
數學 1984 年 DSE、CE 選擇題(第 2 頁) | dselib