1981 年

數學 · 共 46 題 · 點擊選項即時核對答案

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11.

The marked price of a book is $x\$x. 30%30\% of this price is profit. If the book is sold at a discount of 20%20\%, what will the profit then be?

12.

A group consists of nn boys and nn girls. If two of the girls are exceeded by two other boys, then 51%51\% of the group members will be boys. What is nn?

13.

If the surface area of a spherical soap bubble increases by 44%44\%, its volume increases by

14.
Question figure

The total area of the six faces of the solid cube in the figure is 96 cm296\text{ cm}^2. What is the length of the diagonal ABAB?

15.

A merchant sold 100100 chairs. 8080 of them were sold at a profit of 30%30\% on each chair, while 2020 of them were sold at a loss of 40%40\% on each chair. What is his percentage gain or loss on the whole stock?

16.

If 0∘<θ<90∘0^\circ<\theta<90^\circ and sin⁡θ=k2\sin\theta=\dfrac{k}{2}, then cos⁡θ=\cos\theta=

17.

tan⁡θsin⁡θ−1cos⁡θ=\tan\theta\sin\theta-\dfrac{1}{\cos\theta}=

18.

If 0∘≤θ≤360∘0^\circ\le\theta\le360^\circ, the number of roots of the equation 2sin⁡θcos⁡θ−cos⁡θ=02\sin\theta\cos\theta-\cos\theta=0 is

19.

An angle measures xx radians. What is its measure in degrees?

20.
Question figure

In the figure, cos⁡θ=\cos\theta=

數學 1981 年 DSE、CE 選擇題(第 2 頁) | dselib