Question

year 9 numeracy (calculator allowed)

1 jarrad is paid $18 per hour at his job.
how much will he be paid for working 6 hours?
$12
$24
$108
$216

2 which of the following is equal to 36?
\\(2^3 \times 2^2\\)
\\(2^3 + 2^2\\)
\\(3^2 + 2^2\\)
\\(3^2 \times 2^2\\)

3 when keeping horses, 1 hectare of land is recommended for every 2 horses.
how many hectares of land would be needed for 8 horses?
4
6
10
16

4 what is the value of the expression \\(5 + (-17) - (-4)\\)?
-16
-8
18
26

5 lara earned $16.92 per hour working at a store.
this week she worked for \\(12\frac{1}{4}\\) hours.
she used the money she earned this week to buy concert tickets for herself and her friends.
each concert ticket cost $19.55.
what is the maximum number of concert tickets lara could have bought?
tickets

Explanation:

Calculate Jarrad's total earnings

Using the Fractions knowledge point

$$ \text{Earnings} = \$18/\text{hour} \times 6\text{ hours} = \$108 $$

Evaluate the exponential expressions

Using the Order of Operations knowledge point

$$
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$$

Thus, \(3^2 \times 2^2\) is equal to 36.

Determine the hectares of land needed

We set up a proportion based on the recommended ratio of 1 hectare for every 2 horses:

$$ \frac{1\text{ hectare}}{2\text{ horses}} = \frac{x\text{ hectares}}{8\text{ horses}} $$

Solving for \(x\):

$$ x = \frac{1}{2} \times 8 = 4\text{ hectares} $$

Evaluate the integer expression

We simplify the expression by resolving the signs step-by-step:

$$ 5 + (-17) - (-4) = 5 - 17 + 4 $$

Combining the terms:

$$ 5 - 17 + 4 = -12 + 4 = -8 $$

Calculate Lara's maximum concert tickets

Using the Mixed Numbers knowledge point

$$
LATEXBLOCK1
$$

Answer:

Question 1

• (A) $12
• (B) $24
• (C) $108 (Correct answer)
• (D) $216

Question 2

• (A) \(2^3 \times 2^2\)
• (B) \(2^3 + 2^2\)
• (C) \(3^2 + 2^2\)
• (D) \(3^2 \times 2^2\) (Correct answer)

Question 3

• (A) 4 (Correct answer)
• (B) 6
• (C) 10
• (D) 16

Question 4

• (A) -16
• (B) -8 (Correct answer)
• (C) 18
• (D) 26

Question 5

Lara earned $16.92 per hour working at a store. This week she worked for LXI0 hours. She used the money she earned this week to buy concert tickets for herself and her friends. Each concert ticket cost $19.55. What is the maximum number of concert tickets Lara could have bought? <blank>10</blank> tickets