A gambler bets on one of the integers from 1 to 6. Three fair dice are then rolled. If the gambler’s number appears times (), he wins $ . If his number fails to appear, he loses $1. Calculate the gambler’s expected winnings

### 2016 A-level H2 Mathematics (9740) Paper 2 Suggested Solutions

All solutions here are SUGGESTED. KS will hold no liability for any errors. Comments are entirely personal opinions.

Numerical Answers (click the questions for workings/explanation)

Question 1:

Question 2:

Question 3:

Question 4:

Question 5:

Question 6:

Question 7:

Question 8:

Question 9:

Question 10:

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### 2010 A-level H2 Mathematics (9740) Suggested Solutions

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.

Please kindly comment at the specific questions should you have any questions. Continue reading “2010 A-level H2 Mathematics (9740) Suggested Solutions”

### 2015 A-level H2 Mathematics (9740) Paper 2 Question 12 Suggested Solutions

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.

(i)

Let X and Y denote the mass of a apple and pear in grams respectively.

(3 SF)

(ii)

(3 SF)

(iii)

Let A and B denote the mass of a peeled apple and peeled pear in grams respectively.

(3 SF)

### 2015 A-level H2 Mathematics (9740) Paper 2 Question 11 Suggested Solutions

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.

(i)

Number of ways ways

(ii)

Number of ways ways

(iii)

Number of ways ways

(iv)

Case 1: 2 A’s together and B’s separated

Case 2: 2 B’s together and A’s separated

Case 3: 2 A’s together and 2 B’s together

720

Number of ways =10080 – 1800 – 1800 – 720 = 5760 ways

### 2015 A-level H2 Mathematics (9740) Paper 2 Question 10 Suggested Solutions

(i)

Graph to be inserted

(ii)

(a) (4 DP)

(b) (4 DP)

(c) (4 DP)

(iii)

Using GC,

(3 SF)

(iv)

(3 SF)

### 2015 A-level H2 Mathematics (9740) Paper 2 Question 9 Suggested Solutions

(i)

since A and B are independent.

(ii)

(iii)

If ,

(maximum)

If ,

(minimum)

### 2015 A-level H2 Mathematics (9740) Paper 2 Question 8 Suggested Solutions

Let X denote the mass of pineapple tarts and denote the population mean mass of pineapple tarts.

Unbiased estimate of population mean = 0.8825

(3 SF)

Under

Test Statistic, at 10% level of significance.

Using GC, p-value

, do not reject

There is insufficient evidence at 10% significance level to reject the stall owner’s claim.

### 2015 A-level H2 Mathematics (9740) Paper 2 Question 7 Suggested Solutions

(i)

Firstly, the average number of errors per page is constant.

Secondly, the number of errors in a page is independent of the number of errors in another page.

(ii)

Let X denote the number of errors per page.

(3 SF)

(iii)

Using GC,

Least

### 2015 A-level H2 Mathematics (9740) Paper 2 Question 6 Suggested Solutions

(i)

Let X denote the number of red sweets in a small packet of 10 sweets.

(3 SF)

(ii)

Let Y denote the number of red sweets in a large packet of 100 sweets.

Since n is large,

approximately

by continuity correction

(3 SF)

(iii)

Let W denote the number of packets out of 15 packets that contain at least 30 red sweets.

(3 SF)