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Question 1 of 10

1. Question

Three consecutive odd numbers add up to 147. Write these three odd numbers in ascending order (smallest to largest).

, ,

Correct

Incorrect

Question 2 of 10

2. Question

Solve \(3x – 7 = 7x + 9\).

\(x = \)

Correct

Incorrect

Question 3 of 10

3. Question

Sean is biking with a constant speed towards town B from town A. With the aid of wind, which has a speed of 2.5 km it takes him only one hour to reach the destination. However, on the way back to town A he has to bike against the wind, and it takes him three hours to reach town A. Find Sean’s speed.

km/h

Correct

Incorrect

Question 4 of 10

4. Question

Expand and simplify \({\left( {{7^x} – {7^{ – x}}} \right)^2}\).

Correct

Incorrect

Question 5 of 10

5. Question

A rectangle is 180 cm^{2} in area and the length is 5 times the width. Find its dimension.

length = cm, width = cm

Correct

Incorrect

Question 6 of 10

6. Question

Find the next two terms of \(5,15,45,135, \cdots \)

,

Correct

Incorrect

Question 7 of 10

7. Question

A sequence is defined by \({u_n} = 3 \times {\left( { – 2} \right)^n}\). Find \({u_4}\).

Correct

Incorrect

Question 8 of 10

8. Question

\(k + 1,7k + 1\) and \(40k – 5\) are consecutive terms of a geometric sequence. Find the integral value of \(k\).

\(k = \)

Correct

Incorrect

Question 9 of 10

9. Question

Consider the sequence \(6,12,18, \cdots \). Find the number of terms between \(1000\) and \(10 000\).

Number of terms is

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Incorrect

Hint

\({a^x} = y \Rightarrow x = {\log _x}y\)

Question 10 of 10

10. Question

Amy needs \($2000\) for a new computer which she is planning to buy in 15 months’ time. Assuming that he bank offers a rate of 4.8% per annum with interest compounded monthly, how much should Amy deposit now? Answer correct to the nearest cent.