Review for Mastery Test 3
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____1.Evaluate 3 + (-7)
a. / -10 / b. / 4 / c. / -4 / d. / 10____2.Evaluate +12 ÷ (-12)
a. / -1 / b. / 1 / c. / 0 / d. / -24____3.The number line shows how to calculate...
a. / –1 + (–5) / b. / –1 + (–4) / c. / 1 + (3) / d. / 1 + (4)____4.Which of the following illustrates -2 + (+3)?
a. / / b. / / c. / / d. /____5.Evaluate -5 - (-8)
a. / 3 / b. / -3 / c. / -13 / d. / 13____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. / / c. / / d. /____8.The number marked on the number line is
a. / 0.5 / b. / / c. / / d. /____9.
a. / / b. / / c. / / d. /____10.
a. / / b. / / c. / / d. /____11.Reduce 6 : 8 to lowest terms
a. / 3 : 4 / b. / 4 : 3 / c. / 4 : 5 / d. / 5 : 4____12.Reduce 6 : 3 to lowest terms
a. / 2 : 1 / b. / 1 : 2 / c. / 3 : 2 / d. / 2 : 3____13.The diagram below could be used to show that
a. / / b. / / c. / / d. /____14.Reduce to lowest terms
a. / / b. / / c. / / d. /____15.Express 230% as a decimal.
a. / 23.0 / b. / 0.23 / c. / 0.023 / d. / 2.3____16.Express as a percentage.
a. / 62.5% / b. / 160% / c. / 1.60% / d. / 0.625%____17.Calculate 20% of 400.
a. / 80 / b. / 8000 / c. / 8 / d. / 800____18.Express 2.4 as a percentage.
a. / 2.4% / b. / 0.024% / c. / 24.0% / d. / 240%____19.Calculate 10% of 600.
a. / 0.6 / b. / 6000 / c. / 60 / d. / 600____20.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____21.Sara earned $30 in 3 hours. At the same rate, how much would Sara earn in 1 hour?
a. / $10 / b. / $11 / c. / $12 / d. / $13____22.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____23.The graph below shows the temperature of water in a kettle after it has been plugged in. Use it to estimate the temperature after 5 minutes.
a. / 65 / b. / 69 / c. / 62.5 / d. / 74____24.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____25.The graph below shows the position of a person moving in front of a CBR. Use the graph to estimate the time when the position is 2.75 metres.
a. / 2.5 minutes / b. / 2.25 minutes / c. / 2.1 minutes / d. / 2.75 minutes____26.Chris drew a scale drawing from a picture in the book. What scale was used?
Scale drawing Original
a. / Scale drawing :Original = 2.5:1
b. / Scale drawing :Original = 2.25:1
c. / Scale drawing :Original = 3:1
d. / Scale drawing :Original = 1.75:1
____27.Jamie drew a scale drawing from a picture in the book using the scale
Scale Drawing: Original = 0.625 : 1
Which one could be Jamie’s drawing?
Original:
Possible Scale Drawings:
a. / / b. / / c. /____28.Seyran's quiz scores out of 10 were 7, 10, 8, 10, and 9. The mean of these scores is
a. / 9 / b. / 8.8 / c. / 10 / d. / 8____29.Seyran's quiz scores out of 10 were 7, 10, 8, 10, and 9. The mode of these scores is
a. / 8.8 / b. / 9 / c. / 10 / d. / 8____30.Seyran's quiz scores out of 10 were 7, 10, 8, 10, 10, and 9. The median of these scores is
a. / 8 and 10 / b. / 9 / c. / 10 / d. / 9.5Review for Mastery Test 3
Answer Section
MULTIPLE CHOICE
1.ANS:C
3 + (-7)
= -4
PTS:1
2.ANS:A
+12 ÷ (-12) A positive divided by a negative is negative, so the answer is -1.
PTS:1
3.ANS:B
The arrow right above the number line starts at 0 and goes to –1. The arrow above that starts at –1 and goes 4 units to the left. This represents –1 followed by –4 or just –1 + (–4).
PTS:1
4.ANS:A
-2 is represented by and +3 by . To add them we just put them together and ‘marry’ two positives with two negatives by removing them from the picture.
PTS:1
5.ANS:A
-5 - (-8)= -5 + 8
= 3 / Subtracting a negative is the same as adding the positive...
PTS:1
6.ANS:A
The easiest way to do this question is to count the rows that are shaded: We see that 1 out of 3 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 1 by 4 rectangle with 4 squares, so the shaded part must be 4 out of 12 squares. If this is reduced, we get or
PTS:1
7.ANS:B
There are 3 marks on the number line between each unit, so each one is . The number marked is 2 spaces left of 0, so it is .
PTS:1
8.ANS:B
There are 3 marks on the number line between each unit, so each one is . The number marked is of one space to the right of 0, so it is . If every one of the spaces was split in half, there would be 6 of them in each unit, so each one would be .
PTS:1
9.ANS:D
To multiply fractions, just multiply the numerators and denominators to get .
PTS:1
10.ANS:A
/ To add/subtract fractions, get a common denominator (10) by multiplying the numerator and denominator of the first fraction by 2 and then the numerator and denominator of the second fraction by 5.PTS:1
11.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
12.ANS:A
6:3= 2:1 / We can divide each term by 3 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
13.ANS:A
The diagram shows that (find 6 on the top number line and 12 on the one below)
is equivalent to (because the 5 on the the top number line lines up with the 10 on the bottom one.) There are a number of other things it is also equal to, but this is the only correct choice.
PTS:1
14.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
15.ANS:D
230% means or 230 ÷ 100. To divide 230.0 by 100, the decimal moves 2 spots to the left and the correct answer is 2.3.
PTS:1
16.ANS:B
is the same as or . Therefore, is 160%. Some students will do this question by remembering that is 20%, so is 820% = 160%. Another way to do this is to convert to a decimal by dividing 8 by 5 to get 1.6 and then convert the decimal to a percentage by multiplying it by 100%.
PTS:1
17.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
18.ANS:D
2.4 means or . Therefore, 2.4 is 240%. 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 2.4 = 2.4 100%. Multiplying the 2.4 by the 100 we get 240% (the decimal place moves 2 units to the right when you multiply by 100).
PTS:1
19.ANS:C
Remember that "of" can be translated as multiplication.
10% of 600
Another way to do this is to note that 1% means 1 out of 100. So, 1% of 600 is 6. 10% of 600 is 10 6 = 60.
PTS:1
20.ANS:D
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 4 occupies. It is 'closer' to more points than any other line and shows the general trend of the data.
PTS:1
21.ANS:A
In one hour she would earn =$10
PTS:1
22.ANS:A
If the taxi charged $ 40 for 8 km, then for 1 km
they would charge or $5 .
PTS:1
23.ANS:B
There are 4 divisions between 50 and 75 on the vertical scale. Each mark is 6.25. After 5 minutes the graph is just above the third mark above 50. So, the temperature is just over 50 + 3 • 6.25 = 68.75. The best choice is 69.
PTS:1
24.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
25.ANS:B
Each division on the vertical axis is 0.25 metres (since there are 4 divisions for 1 metre) and each division on the horizontal axis is 0.5 minutes. 2.75 metres is one mark below 3 metres on the vertical axis. Following across from 2.75 metres, and then down to the horizontal axis, we get a point about halfway between 2 and 2.5 minutes, so a reasonable answer is 2.25 minutes.
PTS:1
26.ANS:A
The ratio in a scale drawing is drawing: original Measure both lengths.
If we divide the length of the scale drawing (12.5) by the length of the original (5), we get 2.5, so the answer is 2.5:1
PTS:1
27.ANS:C
The ratio in a scale drawing is drawing: original. Since the 2nd term is largest, the original must be bigger. There is only one possible answer.
PTS:1
28.ANS:B
The sum of the 5 numbers is 44. The mean is = 8.8
PTS:1
29.ANS:C
There are more 10's than any other score, so the mode is 10.
PTS:1
30.ANS:D
The numbers listed from smallest to largest are: 7, 8, 9, 10, 10, and 10. The two numbers in the middle are 9 and 10, so the median is 9.5.
PTS:1