MAP4C PRACTICE EXAM

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MAP4C PRACTICE EXAM. PART A – ANNUITIES. 1. Fill in the ... ANSWER ALL QUESTIONS IN THE SPACE PROVIDED. SHOW ALL YOUR WORK FOR FULL ...
MAP4C PRACTICE EXAM PART A – ANNUITIES 1. Fill in the sections below Is this an annuity? (1 Mark Each)

Description

Yes

Why or why not? (2 Marks Each)

No

Every year on his birthday Nathanʼs grandparents deposit $100 into his RESP. LeTrahn borrowed money from the bank and will be paying back $257.37 each month for the next three years.

Punitha deposits $125 every month into her savings account at the bank b)

What is the difference between an open (flexible) mortgage and a closed (fixed) mortgage? [3 Marks]

PART B – SURVEYS ANSWER ALL QUESTIONS IN THE SPACE PROVIDED. SHOW ALL YOUR WORK FOR FULL MARKS!! 2.

List and explain four steps to design a high-quality survey [4 Marks]

3.

Explain the difference between open, closed and hybrid survey questions [3 Marks]

PART C - STATISTICS 4.

The following data represents the number of cell phones that a sample of family households has. Household Number of Cell Phones

1 3

2 4

3 0

4 1

5 5

6 4

7 3

8 1

Calculate the following statistics: a) Mean number of cell phones [2 Marks] b) Median number of cell phones [1 Mark] c) Modal number of cell phones (Mode) [1 Mark]

1

5.

The average temperature (C°) in Niagara over the past 9 months is as follows

Month Temp

6.

APR 13

MAY 15

JUNE JULY 17 19

AUG 20

SEPT 16

OCT 12

NOV 6

DEC 3

a)

Calculate the Standard Deviation [4 Marks]

b)

Would a city in Cuba have a higher or lower Standard Deviation in temperature than Niagara? Explain your answer. [2 Marks]

For each of the following graphs state a correlation coefficient (r-value) that would be best suited for the data [1 Mark each]

a)

b)

1. r =

2. r =

3. r =

4. r =

5. r =

6. r =

Some people say that the more money a country spends getting their athletes ready for the Olympic Games, the more medals they’ll win. How could you prove or disprove this theory using a regression analysis (line-of-best-fit and r value)? i) What data would you need to gather (x & y) ? [2 Marks] ii) If you found a line of best-fit equation, what would your slope (m) represent? [2 Marks] iii) What would your Correlation Coefficient (r) need to be to convince Canada to spend more money? Explain why it is necessary in making your case [3 Marks]

2

PART D – EXPONENTS 7.

Solve the following equations for x and show all your work for full marks [2 marks each] 6

a) 8.

x = 15625

b)

x5 = 81 3

A cone can has a volume of 100 cm3. The radius of the can is three times the height. a)

Using a ruler draw a diagram of the can [1 Mark]

b)

What is the radius of the cone? [3 Marks]

PART D - TRIGONOMETRY 9.

Solve each for the values stated

a) x 20

47

b) 70 8

7.75 B

A c

10.

What would the maximum area of a right angle triangle be if the Perimeter is set at 20ft. [6 Marks]

3