Question

accelerated oyap
trade name: refrigeration and air conditioner systems mechanic
trade code: 313a (construction)
red seal trade: yes
training delivery: apprenticeship program (typically ~8,200 hours including in-school and on - the - job training)
refrigeration and air conditioner systems mechanic
math assessment 2025
name:
mark: /34
student number:

1. 46 + 3(8 - 2)÷2-10

a) 50
b) 54
c) 46
d) 38

1. 1/2 + 2/5 - 1/4=

a) 13/20
b) 7/10
c) 3/4
d) 11/20

1. 5/6÷1/3=

a) 5/18
b) 2/5
c) 2 1/2
d) 1/2

1. a refrigeration and air conditioning mechanic who is paid $28.00 per hour receives a raise of 5% per hour. what is the mechanics new hourly wage?

Explanation:

Step1: Calculate the value inside the parentheses

$$8 - 2=6$$

Step2: Calculate the multiplication and division inside the brackets

$$3\times6 = 18$$
$$18\div2=9$$
$$6 + 9=15$$

Step3: Calculate the multiplication outside the brackets

$$4\times15 = 60$$

Step4: Calculate the subtraction

$$60-10=50$$

Step1: Find a common denominator

The common denominator of 2, 5, and 4 is 20.
$$\frac{1}{2}=\frac{1\times10}{2\times10}=\frac{10}{20}$$
$$\frac{2}{5}=\frac{2\times4}{5\times4}=\frac{8}{20}$$
$$\frac{1}{4}=\frac{1\times5}{4\times5}=\frac{5}{20}$$

Step2: Perform the addition and subtraction

$$\frac{10}{20}+\frac{8}{20}-\frac{5}{20}=\frac{10 + 8-5}{20}=\frac{13}{20}$$

Step1: Use the rule of dividing fractions

Dividing by a fraction is equivalent to multiplying by its reciprocal.
$$\frac{5}{6}\div\frac{1}{3}=\frac{5}{6}\times3$$

Step2: Calculate the result

$$\frac{5}{6}\times3=\frac{5\times3}{6}=\frac{15}{6}=\frac{5}{2}=2\frac{1}{2}$$

Step1: Calculate the amount of the raise

The raise amount is \(28\times5\%=28\times0.05 = 1.4\)

Step2: Calculate the new hourly wage

The new hourly wage is \(28+1.4 = 29.4\)

Answer:

A. 50