MATHEMATICS Compulsory Part Practice Paper Set 5

The exercise is licensed to school for free until the examination date of mathematice HKDSE 2020.

2020 HKDSE Math CP Paper 2

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MATHEMATICS Compulsory Part Practice Paper Set 5

Paper 2

(1 1/4 hours)

1. Read carefully the instructions on the Answer Sheet. Stick a barcode label and insert the information required in the spaces provided.

2. When told to open this book, you should check that all the questions are there. Look for the words 'END OF PAPER' after the last question.

3. All questions carry equal marks.

4. ANSWER ALL QUESTIONS. You are advised to use an HB pencil to mark all the answers on the Answer Sheet, so that wrong marks can be completely erased with a clean rubber.

5. You should mark only ONE answer for each question. If you mark more than one answer, you will receive NO MARKS for that question.

6. No marks will be deducted for wrong answers.

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There are 30 questions in Section A and 15 questions in Section B. The diagrams in this paper are not necessarily drawn to scale. Choose the best answer for each question.

Section A 1. (32?42n + 1)2

A. 216n + 14. B. 216n + 12. C. 28n + 14. D. 28n + 12.

The exercise is licensed to school for free until the examination date of mathematice HKDSE 2020.

2. If y = nx + 4 , then x = m A. m(y - 4) . n B. my - 4 . n C. y - 4m . n D. n(y - 4) . m

3. mn + mp ? m2 ? np =

A. (m ? n) (p ? m).

B. (m ? n) (p + m).

C. (m ? p) (n + p).

D. (m + n) (p ? m).

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The exercise is licensed to school for free until the examination date of mathematice HKDSE 2020.

4. 0.0706747 = A. 0.070 (correct to 2 significant figures). B. 0.0707 (correct to 3 decimal places). C. 0.0707 (correct to 3 significant figures). D. 0.07067 (correct to 4 decimal places).

5. The solution of x - x + 2 3 or 6 > x ? 2 is 3

A. x < 0.5. B. x < 5.5. C. x < 8. D. x < 11.

6. If is a root of the equation 3x2 + 2x - 1 = 0, then 5 - 4 - 62 = A. 3. B. 5. C. 7. D. 9.

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7. The diagram shows the graph of y = x2 + mx + n , where m and n are constants. The equation of the axis of symmetry of the graph is A. x = ?2. B. x = ?3. C. x = ?4. D. x = ?6.

The exercise is licensed to school for free until the examination date of mathematice HKDSE 2020.

8. If A, B and C are non-zero constants such that A(4x + 5) + Bx2 4x(3x + 4) + C, then A: B: C = A. 1: 3 : 5. B. 1: 5 : 3. C. 3: 1 : 5. D. 3: 5 : 1.

9. In the figure, the 1st pattern consists of 4 dots. For any positive integer n, the (n + 1)th pattern is formed by adding 3 dots to the nth pattern. Find the number of dots in the 7th pattern.

...

A. 19 B. 22 C. 25 D. 28

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10. If a small electrical appliance is sold at the marked price, there will be a profit of 30%. If it is sold at a 30% discount on the marked price, there will be a loss of $45. Find the cost of the electrical appliance. A. $400 B. $425 C. $450 D. $500

The exercise is licensed to school for free until the examination date of mathematice HKDSE 2020.

11. A sum of $80 000 is deposited at an interest rate of 6% per annum for 2 years, compounded half-yearly. Find the interest correct to the nearest dollar. A. $9 600 B. $10 000 C. $10 040 D. $10 041

12. The actual area of a square plot of land is 1 600 m2. If the area of this plot of land is 4 cm2 on a map, then the scale of the map is A. 1 : 250. B. 1 : 400. C. 1 : 500. D. 1 : 2 000.

13. It is given that z varies directly as x and inversely as y2. If y is increased by 25% and z is decreased by 64%, then x A. is increased by 40%.

B. is increased by 80%.

C. is decreased by 43.75%.

D. is decreased by 55%.

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