MA10084 Review Question Set TEST ONE with answers KJ
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MATH 10084 REVIEW QUESTIONS FOR TEST ONE KJ
Questions for Term Test 1
Answers
1.
Evaluate
a)
(b) a)1.04
b)$4383.34
2.
Evaluate
(a) 31-[(15
3) x 32
(26
13)]
(b)
a) -49
b) -114,942.37
3.
Find 3/2 ÷ (-9)
-1/6
4.
Find the Lowest Common Denominator for 60
5.
Which of the fractions is greater?
5
12
6.
Complete the following operations and express in lowest terms
(a) (b) (c) (d) (e) (f) a)
77
18
b)
71
6
c)
36
13
d)
2
5
e)
1
12
f)
16
9
7.
It took 15.25 hours to complete 0.75 of a project. How long did it take to complete the entire project?
20.33 hours
8.
The product of two numbers is 9. If one number was 3 ¾ what was the other number?
2.4 or 2
2
5
9.
Simplify and round to 2 decimal places where applicable:
(a) (b) a) -400
b)
1.67 or 5
3
=
1
2
3
10.
Hank invested $10,000 in high risk and low risk funds. His high risk investment was $2000 less than half his low risk investment. How much was invested in each the high and low risk funds?
Low $8000
High $2000
11.
(a) Simplify: (b) Simplify: a) 2x+9
MA10084 REVIEW QUESTIONS WITH ANSWERS TEST ONE
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MATH 10084 REVIEW QUESTIONS FOR TEST ONE KJ
(c) Evaluate: b)
7
x
−
2
20
c) 2.988
12.
Andy and Becky shared $500. If Andy’s share was $150 less than Becky’s share, calculate the size of each of their shares.
Andy = $175
Becky= $325
13.
Simplify then evaluate where x = -2 and y = -1
5(2x – 3y) – 2(3x – 2y) + 7
4x – 11y + 7
Answer: 10
14.
A profit of $85,750 was shared by two partners of a business. If one partner received $12,500 more than the other, how much did each one receive?
P1=$36,625
P2=$49,125
15.
(a) Solve for y
: v
=
t
20
(
x
+
y
)
(b) Solve for
: 3
(
a
+
6
)
−
2
(
3
−
a
)
=
2
(
a
+
2
)
(c) Solve for x:
a)
y
=
20
v
t
−
x
b)
x
=
4.5
p
−
y
c)
x
=
$
655.90
16.
(a) 25% of 84 is what number?
(b) $160 is 250% of what amount?
(c) 48 is 60% of what number?
(d) What percent of 35 is 28?
(e) What percent of 80 is 96? (f) What amount is 20% less than $185?
(g) 25% of what number gives will give you 22?
a)
21
b)
64
c)
80
d)
80%
e)
120%
f)
148
g)
88
17.
A company laid-off 25% of its work force. The number of employees after the layoff is 1,800.
How many employees were there before the layoff?
2400
18.
After real estate fees of 4% had been deducted from the proceeds of a sale, the seller of the
property received $523,200. What were the real estate agents fees?
$21,800
19.
A property owner listed their property for sale for 150% more than what they paid for it. After
receiving no offers they dropped the List Price by 10%, to $270,000 and sold the property. What did the property owner initially pay for the property? $120,000
20.
(a) What number is 35% less than 80? (b) 210 is what % more than 75?
a)
52
b)
180%
21.
The price of common shares of Tri-Vista Capital was valued at $24.00 at the end of 2010. The shares increased by 7.5% in 2011, and overall increased by 15.5% (from the beginning of 2010 to the end of 2011).
(a)
What was the price of each share at the beginning of 2010? (b) What was the percent increase for 2010
? a)
$22.34
b)
7.43% increase
22.
Company shares increased by 42% the first year and decreased by 30% the second year. What was the overall % change in the company shares?
-0.6%
23.
A company which sold its products in 4.6 kg containers has reduced its container size to 3.6 kg. The retail price also dropped from $1.71 to $1.41. (a) What was the percent change in price?
a)
17.54% decrease
b)
21.74% MA10084 REVIEW QUESTIONS WITH ANSWERS TEST ONE
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MATH 10084 REVIEW QUESTIONS FOR TEST ONE KJ
(b) What was the percent change in container size?
(c) What was the percent change in the unit price?
decrease
c)
5.36% increase
24.
If you paid $135.60 including 13% HST what was the price before the tax?
$120.00
25.
If you are paid bi-weekly $1600, what would be your pay if it was changed to a semi-monthly
pay?
$1733.33
26.
Chuck gets paid $2925 semi-monthly and has 37.5 hr workweeks. If he worked 10 hours of overtime during his last pay period and overtime factor is 1.5, find his gross pay.
$3465
27.
A real estate agent gets 4.5% commission on the sale of a house. The commission is deducted from the sale of the house. If the agent got $38,250, how much did te seller of the
house get?
$811,750
28.
Hank had gross earnings of $780 for a week. If he receives a base salary of $360 and a quota of $9000 and a commission of 5% on sales exceeding the quota, what were his sales that week?
$17,400
29.
If your gas receipt included $8.45 in HST (13%) what was your total invoice for gas?
$73.45
30.
If you were paying $3,456.00 annually in property tax on a house valued at $345,000. What would be the Mill Rate (to 4 decimal places) in your municipality?
10.0174
31.
A plot of land is assessed at 125% of the purchase price of $715,000 and the property taxes
due are $9473.75. What is the tax rate?
1.06%
32.
Property tax for a residential building is 1.035%. The property tax on a farmland is 85% of the tax levied (charged) on the residential building.
(a)
What is the property tax for a residence worth $780,000 and assessed at 90%?
(b)
What would be the property tax for a farmland assessed at $1,050,000?
a)
$7265.70
b)
$9237.38
33.
You work at a shoe store and sell the following items during your shifts that week:
35 boots at $465
50 shoes at $97.50
80 sale shoes at $42.75
(a)
Find the simple average price of items sold.
(b)
Find the weighted average price of the items sold.
a)
$210.75
b)
$148.91
34.
Mary invested $16,000 at 5.0 %, $14,000 at 4.2% and $25,000 at 5.8%. What is the average
rate of interest earned on her investments?
5.16%
35.
Find your GPA if you receive 80% in a 3 unit course, 75% in a 4 unit course and 90% in a 2 unit course.
80%
36.
You spend 25% of your disposable income on food, 15% on clothing, 40% on housing and 20% on transportation. What is your average increase or decrease in spending if food prices
decrease by 8%, clothing prices decrease by 10%, housing prices increase by 6%, and transportation costs increase by 12%.
1.30% increase
37.
If you receive an annual salary of $42,510, (a) What would be your semi-monthly pay?
(b) What would be your hourly rate of pay if you work 40.0 hours per week?
a)
$1,771.25
b)
$20.44 38.
(a) What is a salesperson's commission on net sales of $62,000 if the commission is paid on
a sliding scale of 6.0% on the first $25,000, 8.0% on the next $25,000 and 10.0% on any a)
$4,700
b)
7.581%
MA10084 REVIEW QUESTIONS WITH ANSWERS TEST ONE
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MATH 10084 REVIEW QUESTIONS FOR TEST ONE KJ
additional net sales?
(b) What single rate of commission on the net sales of $62,000 would provide the salesman with the same earnings as in part (a)?
39.
Joe gets paid $24.50/hour and 1.5 times regular pay for overtime. He is paid biweekly and works 38 hours/week. If he worked 40.25 hours one week and 48 hours the next, what is his biweekly pay?
$2312.19
40.
Serhan has a monthly salary of $4480. He works 40 hours/week.
(a)
What is his hourly wage?
(b)
His pay period changed to bi-weekly and he is paid 1.5 times regular pay for overtime. If he worked 15.5 hours of overtime in his last pay period, find his wage.
(a) $25.85/hr
(b) $2677.78
41.
Petros gets a base salary of $1930/month plus a graduated commission scale of:
3.1% on the 1
st
$45,000 in sales
4.5% on the next $55,000 in sales
5.9% on any additional sales that month
(a) If he sold $40,000 that month, what was his pay?
(b) If he sold $98,000 that month, find his pay?
(c) If he sold $137,000 that month, find his pay?
(d) If he was paid $8219 last month, what were his total sales?
(a) $3170
(b) $5710
(c) $7983
(d) $141,000
MA10084 REVIEW QUESTIONS WITH ANSWERS TEST ONE
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