PART A (17 marks) Name:_______________________________ 1. | Measurement | Marks | | | | (a) | What is the volume of a cube with side length 4cm? | 1 |
(b) | What is the true bearing of the point A from O? | 1 | (c) | Which side is opposite to ∠BAC? | 1 | | Total Question 1. | /3 |
2. | Algebra | Marks | (a) | If a = 5, find 4a2. | 1 | (b) | Circle the correct answer for the following: | 1 | | (i) 1 (ii) 4 (iii) a (iv) 4a | | (c) | Graph y = x on the graph below. | 1 |
| | Marks | (d) | Match the following equations with the graphs below. | 2 | | (i) | (ii) | | | (iii) | (iv) | | | A | B | | | C | D | |
(e) | Solve . | 1 | | Total Question 2. | /6 |
3. | Consumer Arithmetic | Marks | (a) | I receive $10.50 per hour. I work 7 hours at normal time and 3 hours at double time. What is my total pay? | 1 | (b) | An amount of $6000 is invested. Find the simple interest earned on this money for 4 years at 5% p.a. interest. | 1 | (c) | “Clothes for Less” is having a 10% off all items for sale. If the ticketed price of a particular dress is $230, what price will I be charged for the dress at the checkout? | 1 | | Total Question 3. | /3 |
4. | Data & Probability | Marks | (a) | In 10 different soccer matches, Chloe scored the following goals.0, 1, 0, 2, 1, 2, 0, 3, 1, 1What was her median number of goals scored? | 1 | (b) | A bag contains 20 marbles. There are 10 black, 3 red and 7 pink marbles.What are the chances of selecting a red marble? | 1 | (c) | For the set of scores:7, 9, 11, 8, 6, 5, 1, 0, 2 | | | Find | (i) the mean. (give your answer to 2 decimal places).________________ | 1 | | | (ii) the standard deviation.(give your answer to 2 decimal places).________________ | 1 | | | | | | Total Question 4. | /4 | | | | 5. | Geometry | Marks | (a) | If the following triangles are similar, find x | 1 | | | | | Total Question 5. | /1 |
PART B (19 marks) Name:_______________________________ 1. | Measurement | Marks | (a) | Find the value of ’ correct to 2 decimal places. | 1 | (b) | Find the volume of the solid drawn below. | 1 |
(c) | This is a net of which solid? | 1 | | | Total Question 1. | /3 | | | | |
2. | Algebra | Marks | (a) | Solve | 1 | (b) | If complete the table below. x | -1 | 0 | 1 | 2 | y | | | | | | 2 | (c) | Which line is parallel to | 1 | | (i) (ii) (iii) (iv) | |
(d) | If find x if y = 17. | 1 | | | | |
| | Total Question 2. | /5 |
3. | Consumer Arithmetic | Marks | (a) | Find the simple interest charged on a loan of $4500 invested for 4 months at 9% per annum. | 2 | (b) | Mary invested $35000 at 7% p.a compounding annually. | | | (i) | Calculate the value of her investment after 10 years. | 2 | | (ii) | Find the interest earned after 10 years. | 1 | | | Total Question 3. | /5 |
4. | Data and Probability | Marks | | The maximum temperature for each day of September was recorded. The information is listed in the table below. Temperature (oC) x | Frequencyf | | CumulativeFrequency | 19 | 4 | 76 | 4 | 20 | 6 | 120 | 10 | 21 | 9 | A | 19 | 22 | 0 | 0 | 19 | 23 | 7 | 161 | B | 24 | 4 | 96 | 30 | | | | (i) | What is the mode of this distribution? | 1 | | (ii) | Find the value of A in the column. | 1 | | (iii) | Calculate the mean maximum temperature for the month of September. | 1 | | (iv) | Find the value of B for the Cumulative Frequency column. | 1 | | | Total Question 4. | /4 |
5. | Geometry | Marks | (a) | Which two rectangles are similar? (i) I and II (ii) II and III (iii) III and IV (iv) I and IV | 1 | (b) | Which
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