MFM1P Mastery Review for Test 7
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____1.Evaluate -1 - (-3)
a. / -2 / b. / 2 / c. / -4 / d. / 4____2.Evaluate -7 + (-2)
a. / 5 / b. / 9 / c. / -5 / d. / -9____3.Evaluate -3(-7)
a. / -21 / b. / 21 / c. / -10 / d. / 10____4.Evaluate -12 ÷ (-4)
a. / 3 / b. / -3 / c. / -8 / d. / +8____5.The number line shows how to calculate...
a. / –4 + (3) / b. / 4 + (5) / c. / 4 + (1) / d. / –4 + (–1)____6.The fraction of the whole rectangle shaded below (in lowest terms) is
a. / / b. / / c. / / d. /____7.The number marked on the number line is
a. / / b. / 0.5 / c. / / d. /____8.
a. / / b. / / c. / / d. /____9.
a. / / b. / / c. / / d. /____10.Reduce 6 : 8 to lowest terms
a. / 3 : 4 / b. / 4 : 3 / c. / 4 : 5 / d. / 5 : 4____11.Reduce to lowest terms
a. / / b. / / c. / / d. /____12.Express 0.036 as a percentage.
a. / 36% / b. / 3.6% / c. / 0.36% / d. / 0.00036%____13.Calculate 20% of 400.
a. / 80 / b. / 8000 / c. / 8 / d. / 800____14.8 out of 25 is _____%
a. / 312.5% / b. / 3.125% / c. / 32% / d. / 200%____15.Which line is the line of best fit for the data shown below?
a. / line 1 / b. / line 2 / c. / line 3 / d. / line 4____16.A taxi charged $ 40 for a 8 km drive. At the same rate, how much would they charge for a 1 km ride?
a. / $5 / b. / $4 / c. / $3 / d. / $8____17.The graph below shows the temperature of a cup of coffee in a cool room. Use the graph to estimate the elapsed time when the temperature of the coffee is 25C.
a. / 7.1 minutes / b. / 7.5 minutes / c. / 6.75 minutes / d. / 8.2 minutes____18.What is missing area?
a. / 25 / c. / 5b. / 7 / d. / 16
____19.Chris drew a scale drawing from a picture in the book. What scale was used?
Scale drawing Original
a. / Scale drawing :Original = 2:1
b. / Scale drawing :Original = 2.25:1
c. / Scale drawing :Original = 2.5:1
d. / Scale drawing :Original = 1.25:1
____20.Kevin is walking away from the CBR. After 3 seconds, how far away from the CBR is he?
a. / 13 m / b. / 1 m / c. / 12 m / d. / 16 m____21.State the cost if you drive 0 kilometres.
a. / $3 / b. / $4 / c. / $5 / d. / $2____22.Which table shows a linear relationship?
a. / / b. / / c. / / d. /____23.Which formula shows the relationship ...
Total pay is $3 for each hour minus taxes of $5
(n represents the number of hours and P represents the total pay in $)
a. / / b. / / c. / / d. /____24.If then
a. / 3 / b. / 10 / c. / 75 / d. / 20____25.If then
a. / 14 / b. / –5 / c. / 3 / d. / –9____26.If then
a. / –8 / b. / 12 / c. / –20 / d. / –12____27.If then
a. / 2 / b. / –2 / c. / 24 / d. / 10____28.What units of measure would be best for measuring your height?
a. / cm / b. / cm2 / c. / cm3____29.Centimetre cubes (each cube is 1cm wide, 1cm high and 1cm long) were used to build the object shown below. Cubes in the higher levels are supported by cubes underneath. What is the volume of this solid?
a. / 18 cm / b. / 24 cm / c. / 25 cm / d. / 27 cm____30.Centimetre cubes (each cube is 1cm wide, 1cm high and 1cm long) were used to build the object shown below. What is the area of the front face of this solid (shaded)?
a. / 4 cm / b. / 5 cm / c. / 6 cm / d. / 12 cmMFM1P Mastery Review for Test 7
Answer Section
MULTIPLE CHOICE
1.ANS:B
-1 - (-3)= -1 + 3
= 2 / Subtracting a negative is the same as adding the positive...
PTS:1
2.ANS:D
-7 + (-2)
= -9
PTS:1
3.ANS:B
-3(-7) Because -7 is enclosed by brackets, we can tell that it is the number -7, not subtract 7. Since the -3 is right beside the bracket, we can tell that it is multiplication. A negative mul;tiplied by a negative is positive, so the answer is 21.
PTS:1
4.ANS:A
-12 ÷ (-4) A negative divided by a negative is positive, so the answer is 3.
PTS:1
5.ANS:C
The arrow right above the number line starts at 0 and goes to 4. The arrow above that starts at 4 and goes 1 units to the right. This represents 4 followed by 1 or just 4 + (1).
PTS:1
6.ANS:A
The easiest way to do this question is to count the rows that are shaded: We see that 4 out of 5 rows are shaded or . So ... the reduced fraction is .
Another way is to count the total number of squares shaded ( The shaded area is a 4 by 6 rectangle with 24 squares, so the shaded part must be 24 out of 30 squares. If this is reduced, we get or
PTS:1
7.ANS:C
There are 3 marks on the number line between each unit, so each one is . The number marked is 2 of these spaces to the right of 0, so it is .
PTS:1
8.ANS:B
To multiply fractions, just multiply the numerators and denominators to get .
PTS:1
9.ANS:A
/ To add/subtract fractions, get a common denominator (12) by multiplying the numerator and denominator of the first fraction by 3 and then the numerator and denominator of the second fraction by 4.PTS:1
10.ANS:A
6:8= 3:4 / We can divide each term by 2 right away or look for one factor at a time.
At this point, no whole number divides evenly into both terms, so we say it is in ‘lowest terms’.
PTS:1
11.ANS:A
= / We can divide the top and bottom of the fraction by 4 right away or look for one factor at a time.
At this point, no whole number divides evenly into the top and bottom, so we say it is in ‘lowest terms’.
PTS:1
12.ANS:B
0.036 means or . Therefore, 0.036 is 3.6%. Another way to do this is to use the fact that 100% is the same as the number 1. We know that if we multiply a number by 1 we don't change its value, so 0.036 = 0.036 100%. Multiplying the 0.036 by the 100 we get 3.6% (the decimal place moves 2 units to the right when you multiply by 100).
PTS:1
13.ANS:A
Remember that "of" can be translated as multiplication.
20% of 400
Another way to do this is to note that 1% means 1 out of 100. So, 1% of 400 is 4. 20% of 400 is 20 4 = 80.
PTS:1
14.ANS:C
8 out of 25 is equivalent to 32 out of 100 (multiplying both by 4) or 32%. You could write 8 out of 25 as a fraction, , and then either multiply the numerator and denominator by 4 OR express as a decimal and multiply by 100%.
This question is equivalent to 30 out of 100 is the same as 120 out of _____. 30 out of 100 is the same as 120 out of 400 (multiplying both by 4).
PTS:1
15.ANS:A
If you imagine each of the points being little magnets and the line of best fit being a needle, hopefully you can imagine it moving into the spot that line 1 occupies. It is 'closer' to more points than any other line and shows the general trend of the data.
PTS:1
16.ANS:A
If the taxi charged $ 40 for 8 km, then for 1 km
they would charge or $5 .
PTS:1
17.ANS:B
Following across from 25C on the vertictal axis, and then down to the horizontal axis, we get a point that appears to be almost exactly halfway between 7 and 8, so a reasonable answer is 7.5 minutes.
PTS:1
18.ANS:APTS:1
19.ANS:A
The ratio in a scale drawing is drawing: original Measure both lengths.
If we divide the length of the scale drawing (10) by the length of the original (5), we get 2, so the answer is 2:1
PTS:1
20.ANS:A
Find 3 seconds on the time axis (horizontal) and go up to the line and across to the distance axis. Read a distance of 13 metres off its axis.
PTS:1
21.ANS:A
fixed cost = $3 (It is the cost when the distance is 0, so look on the vertical axis)
PTS:1
22.ANS:A
When we go from 5 down to 2, we are dropping 3 (so the entry between them is -3). When we go from 2 to -1, we are dropping 3 (so the entry between them is -3).
Another approach is to know that it is always the second value subtract the first, so the entries are: 2 - 5 = -3 and -1 - 2 = -3
PTS:1
23.ANS:B
Total pay = $3 times the number of hours worked the taxes, $5
so...
PTS:1
24.ANS:APTS:1
25.ANS:APTS:1
26.ANS:APTS:1
27.ANS:APTS:1
28.ANS:A
Area is measured incm, volume in cm, and length in cm, so the answer is cm
PTS:1
29.ANS:C
To find volume, we just count cubes. If we could see the left face of the solid, we would see a 3 by 3 square, so there are 9 cubes in the first vertical 'slice' on the left. The next slice also has 9 cubes. There are two more cubes in front and 5 more in the back to make a total of 25.
PTS:1
30.ANS:B
To find area, we just count squares. In this case, there are 5.
PTS:1