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Sample
Test Questions Grades 7 and 8
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| Below are sample questions from
the TIMSS achievement tests in Science administered to twenty-six countries.
TIMSS is a research project sponsored by the International Association for
the Evaluation of Educational Achievement (IEA). These questions may be
used in the classroom, as a tool for evaluation, or to provide examples
of test-question writing. The sample questions are grouped into five categories:
1. Fractions and Number Sense 2. Algebra
3. Measurement 4. Geometry 5. Data
Representation, Analysis and Probability 6. Proportionality |
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Fractions
and Number Sense
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1.
Two groups of tourists each have 60 people. If 3/4 of the first group
and 2/3 of the second group board buses to travel to a museum, how many
more people in the first group board buses than in the second group?
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A.
2
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B.
4
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C.
5
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D.
40
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E.
45
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Answer:
C
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2.
In a discus-throwing competition, the winning throw was 61.60m. The second
place throw was 59.72 m. How much longer was the winning throw than the
second-place throw?
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A.
1.18m
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B.
1.88m
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C.
1.98m
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D.
2.18m
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Answer:
B
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3.
Write a fraction that is larger than 2/7.
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Answer:__________________
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Answer:
A fraction with a numerator greater than 2 and a denominator equal to
7.
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4.
Divide 8/35 by 4/15=
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Answer:
___________________
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Answer:
33761
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5.
Divide: 24.56 by 0.004
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A.
0.614
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B.
6.14
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C.
61.4
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D.
614
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E.
6140
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Answer:
E
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6.
A chemist mixes 3.75 milliliter of solution A with 5.625 milliliter of solution
B to form a new solution. How many milliliter does this new solution contain? |
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Answer:_____________________________
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Answer:
9.375
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7. Last
year there were 1172 students at Beaton High School. This year there are
15 percent more students than last year. Approximately how many students
are at Beaton High School this year? |
| A.
1800 |
| B.
1600 |
| C.
1500 |
| D.
1400 |
| E.
1200 |
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| Answer:
D |
8. 3/4+8/3+11/8=
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| A.
22/15 |
| B.
43/24 |
| C.
91/24 |
| D.
115/24 |
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| Answer:
D |
9. Which
number is five hundred four and seven-tenths? |
| A.
54.7 |
| B.
504.7 |
| C.
547 |
| D.
5004.7 |
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| Answer:
B |
10.
What is the value of 2/3-1/4-1/12? |
| A.
1/16 |
| B.
1/3 |
| C.
3/8 |
| D.
5/12 |
| E.
1/2 |
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| Answer:
B |
11.
Which is the largest number? |
| A.
4/5 |
| B.
3/4 |
| C.
5/8 |
| D.
7/10 |
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| Answer:
A |
12.
Multiply: 0.203 by 0.56= |
| Answer:__________________
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| Answer:
0.11368 |
13.
A newspaper reported that about 18 200 trees had been planted in the park.
The number was rounded to the nearest hundred. Which of these could have
been the actual number planted? |
| A.
18 043 |
| B.
18 189 |
| C.
18 289 |
| D.
18 328 |
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| Answer:
B |
14.
In which list of fractions are all of the fractions equivalent? |
| A.
3/4,6/8,12/14 |
| B.
3/5,5/7,9/15 |
| C.
3/8,6/16,12/32 |
| D.
5/10,10/15,1/2 |
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| Answer:
C |
15.
Han had a bag of marbles. She gave half of them to James and then a third
of the marbles still in the bag to Pat. She then had 6 marbles left. How
many marbles were in the bag to start with? |
| A.
18 |
| B.
24 |
| C.
30 |
| D.
36 |
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| Answer:
A |
16.
A car has a fuel tank that holds 35 L of fuel. The car consumes 7.5 L of
fuel for each 100 km driven. A trip of 250 km was started with a full tank
of fuel. How much fuel remained in the tank at the end of the trip? |
| A.
16.25 L |
| B.
17.65 L |
| C.
18.75 L |
| D.
23.75 L |
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| Answer:
A |
17.
If the price of a can of beans is raised from 60 cents to 75 cents, what
is the percentage increase in the price? |
| A.
15% |
| B.
20% |
| C.
25% |
| D.
30% |
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| Answer:
C |
18.
Which of these is 89.0638 rounded to the nearest hundredth? |
| A.
100 |
| B.
90 |
| C.
89.1 |
| D.
89.06 |
| E.
89.064 |
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| Answer:
D |
19.
Luis exercises by running 5 km each day. The course he runs is 1/4 km long.
How many times through the course does he run each day? |
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| Answer:___________________________ |
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| Answer:20 |
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| 20. Mark's garden has 84 rows of
cabbages. There are 57 cabbages in each row. Which of these gives the BEST
way to estimate how many cabbages there are altogether? |
| A. 100 times 50=5000 |
| B. 90 times 60=5400 |
| C. 80 times 60= 4800 |
| D. 80 times 50=4000 |
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| Answer: C |
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| 21. A person's heart is beating 72
times a minute. At this rate, about how many times does it beat in one hour? |
| A. 420 000 |
| B. 42 000 |
| C. 4 200 |
| D. 420 |
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| Answer: C |
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| 22. Janis, Maija, and their mother
were eating a cake. Janis ate 1/2 of the cake. Maija ate 1/4 of the cake.
Their mother ate 1/4 of the cake. How much of the cake is left? |
| A. 3/4 |
| B. 1/2 |
| C. 1/4 |
| D. None |
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| Answer: D |
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| 23. Write 0.28 as a fraction reduced
to it's lowest terms. |
| Answer:______________________________ |
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| Answer: 7/25 |
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| 24. The Smith family uses about 6000
L of water per week. Approximately how many liters of water do they use
per year? |
| A. 30 000 |
| B. 240 000 |
| C. 300 000 |
| D. 2 400 000 |
| E. 3 000 000 |
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| Answer: C |
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| 25. Which list shows the numbers
from smallest to largest? |
| A. 0.345, 0.19, 0.8, 1/5 |
| B. 0.19, 1/5, 0.345, 0.8 |
| C. 0.8, 0.19, 1/5, 0.345 |
| D. 1/5, 0.8, 0.345, 0.19 |
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| Answer: B |
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| 26. 3/4 + (2/3 times 1/4)= |
| A. 1/8 |
| B. 5/16 |
| C. 17/48 |
| D. 5/6 |
| E. 11/12 |
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| Answer: E |
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| 27. Subtract: 2.201-0.753= |
| A. 1.448 |
| B. 1.458 |
| C. 1.548 |
| D. 1.558 |
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| Answer: A |
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| 28. A stack of 200 identical sheets
of paper is 2.5 cm thick. What is the thickness of one sheet of paper? |
| A. 0.008 cm |
| B. 0.0125 cm |
| C. 0.05 cm |
| D. 0.08 cm |
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| Answer: B |
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| 29. Subtract: 6000-2369= |
| A. 4369 |
| B. 3742 |
| C. 3631 |
| D. 3531 |
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| Answer: C |
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| 30. Mr. Lewis had $360. He spent
7/9 of it. How much money did he have left? |
| Answer: ________________________________________ |
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| Answer: 80 |
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| 31. Teresa wants to record 5 songs
on tape. The length of time each song plays for is shown in the table. |
| Song |
Amount of Time |
| 1 |
2 minutes 41 seconds |
| 2 |
3 minutes 10 seconds |
| 3 |
2 minutes 51 seconds |
| 4 |
3 minutes |
| 5 |
3 minutes 32 seconds |
|
| ESTIMATE to the nearest minute the
total time taken for all five songs to play and explain how this estimate
was made. |
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| Estimate:_______________________ |
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| Explain: |
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| Answer: 15 minutes, by rounding each
amount of time to whole minutes |
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| 32. Rounded to the nearest 10 kg
the weight of a dolphin was reported as 170 kg. Write down a weight that
might have been the actual weight of the dolphin. |
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| Answer: |
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| Answer: A number between 165 and
170. |
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| Algebra |
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| 1. Brad wanted to find three consecutive
whole numbers that add up to 81. He wrote the equation (n-1)+n+(n=1)=81.
What does the n stand for? |
| A. The least of the three whole numbers |
| B. The middle whole number |
| C. The greatest of the three whole
numbers |
| D. The difference between the least
and the greatest of the three whole numbers |
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| Answer: B |
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| 2. The numbers in the sequence 2,
7, 12, 17, 22, ...increase by fives. The numbers in the sequence 3, 10,
17, 24, 31,...increase by sevens. The number 17 occurs in both sequences.
If the two sequences are continued, what is the next number that will be
seen in both sequences? |
| Answer: |
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| Answer: 52 |
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3. The table represents a relation between x and y.
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| What is the missing number in the
table? |
| A. 2 |
| B. 3 |
| C. 4 |
| D. 5 |
| E. 6 |
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| Answer: B |
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| 4. x/2 < 7 is equivalent to |
| A. x<7/2 |
| B. x<5 |
| C. x<14 |
| D. x>5 |
| E. x>14 |
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| Answer: C |
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| 5. A rubber ball rebounds to half
the height it drops. If the ball is dropped from a rooftop 18m above the
ground, what is the total distance traveled by the time it hits the ground
the third time? |
| A. 31.5 m |
| B. 40.5 m |
| C. 45 m |
| D. 63 m |
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| Answer: C |
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| 6. Find x if 10x-15=5x+20 |
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| Answer: __________________ |
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| Answer: 7 |
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| 7. If x=2, what is the value of 7x+4
divided by 5x-4? |
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| Answer: |
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| Answer: 3 |
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| 8. If 3(x+5)=30, then x= |
| A. 2 |
| B. 5 |
| C. 10 |
| D. 95 |
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| Answer: B |
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| 9. If m represents a positive number,
which of these is equivalent to m+m+m+m? |
| A. m+4 |
| B. 4m |
| C. m to the forth power |
| D. 4(m+1) |
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| Answer: B |
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| 10. Which of these expressions is
equivalent to y to the power of 3? |
| A. y+y+y |
| B. y times y times y |
| C. 3y |
| D. y squared +y |
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| Answer: B |
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| 11. Juan has 5 fewer hats than Maria,
and Clarissa has 3 times as many hats as Juan. If Maria has n hats, which
of these represents the number of hats that Clarissa has? |
| A. 5-3n |
| B. 3n |
| C. n-5 |
| D. 3n-5 |
| E. 3(n-5) |
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| Answer: E |
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| 12. Subtract: 2x/9 - x/9= |
| A. 1/9 |
| B. 2 |
| C. x |
| D. x/9 |
| E. x/81 |
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| Answer: D |
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| 13. P=LW. If P=12 and L=3, then W
is equal to |
| A. 3/4 |
| B. 3 |
| C. 4 |
| D. 12 |
| E. 36 |
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| Answer: C |
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| 14. Which one of the following is
FALSE when a, b, and c are different real numbers? |
| A. (a+b)+c = a+(b+c) |
| B. ab=ba |
| C. a+b=b+a |
| D. (AB)c=a(bc) |
| E. AB=BA |
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| Answer: E |
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| 15. A group of students has a total
of 29 pencils and everyone has at least one pencil. Six students have 1
pencil each, 5 students have 3, and the rest have 2. How many students have
only 2 pencils? |
| A. 4 |
| B. 6 |
| C. 8 |
| D. 9 |
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| Answer: A |
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| 16. There are 54 kilograms of apples
in two boxes. The second box of apples weighs 12 kilograms more than the
first. How many kilograms of apples are in each box? Show your work. |
| |
| Answer: |
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| Answer: 33 kg and 21 kg. |
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| Measurement |
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| 1. The number of 750 mL bottles that
can be filled from 600 L of water is |
| A. 8 |
| B. 80 |
| C. 800 |
| D. 8000 |
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| Answer: C |
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| 2. The length of a rectangle is 6
cm, and its perimeter is 16 cm. What is the area of the rectangle in square
centimeters? |
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| Answer: |
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| Answer: 12 |
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| 3. Four children measured the width
of a room by counting how many paces it took them to cross it. The chart
shows their measurements. |
| Name |
Number of Paces |
| Stephen |
10 |
| Erlane |
8 |
| Ana |
9 |
| Carlos |
7 |
|
| Who had the longest pace? |
| A. Stephen |
| B. Erlane |
| C. Ana |
| D. Carlos |
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| Answer: D |
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| 4. A cake is put in the oven at 7:20.
If the cake takes three quarters of an hour to bake, at what time should
it be taken out of the oven? |
| |
| Answer:______________________________________ |
| |
| Answer: 8:05 |
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| 5. Which of these is the longest
time? |
| A. 15 000 seconds |
| B. 1 500 minutes |
| C. 10 hours |
| D. 1 day |
| |
| Answer: B |
|
| Geometry |
| |
| 1. A strait line on a graph passes
through the points (3,2) and (4,4). Which of these points also lies on the
line? |
| A. (1,1) |
| B. (2,4) |
| C. (5,6) |
| D. (6,3) |
| E. (6,5) |
| |
| Answer: C |
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| 2. A quadrilateral MUST be a parallelogram
if it has |
| A. one pair of adjacent sides equal |
| B. one pair of parallel sides |
| C. a diagonal as axis of symmetry |
| D. two adjacent angles equal |
| E. two pairs of parallel sides |
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| Answer: E |
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| 3. In a quadrilateral, two of the
angles each have a measure of 110 degrees, and the measure of the third
angle is 90 degrees. What is the measure of the remaining angle? |
| A. 50 degrees |
| B. 90 degrees |
| C. 130 degrees |
| D. 140 degrees |
| E. None of the above |
| |
| Answer: A |
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| 4. What is the ratio of the length
of a side of a square to its perimeter? |
| A. 1/1 |
| B. 1/2 |
| C. 1/3 |
| D. 1/4 |
| |
| Answer: D |
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| Data
Representation, Analysis, and Probability |
| |
| 1. In a bag of cards 1/6 are green,
1/12 are yellow, 1/2 are white and 1/4 are blue. If someone takes a card
from the bag without looking, which color will it most likely be? |
| A. White |
| B. Blue |
| C. Green |
| D. Yellow |
| |
| Answer: A |
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| 2. A drawer contains 28 pens; some
white, some blue, some red, and some gray. If the probability of selecting
a blue pen is 2/7, how many blue pens are in the drawer? |
| A. 4 |
| B. 6 |
| C. 8 |
| D. 10 |
| E. 20 |
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| Answer: C |
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| 3. This chart shows temperature readings
made at different times on four days. |
| |
6 a.m. |
9 a.m. |
Noon |
3 p.m. |
8 p.m. |
| Monday |
15 degrees |
17 degrees |
20 degrees |
21 degrees |
19 degrees |
| Tuesday |
15 degrees |
15 degrees |
15 degrees |
10 degrees |
9 degrees |
| Wednesday |
8 degrees |
10 degrees |
14 degrees |
13 degrees |
15 degrees |
| Thursday |
8 degrees |
11 degrees |
14 degrees |
17 degrees |
20 degrees |
|
| When was the highest temperature
recorded? |
| A. Noon on Monday |
| B. 3 p.m. on Monday |
| C. Noon on Tuesday |
| D. 3 p.m. on Wednesday |
| |
| Answer: B |
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| 4. Each of the six faces of a certain
cube is painted either red or blue. When the cube is tossed, the probability
of the cube landing with a red face up is 2/3. How many faces are red? |
| A. One |
| B. Two |
| C. Three |
| D. Four |
| E. Five |
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| Answer: D |
|
| Proportionality |
| |
| 1. The table shows the values of
x and y where x is proportional to y. |
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| What are the values of P and Q? |
| A. P=14 and Q=31 |
| B. P=10 and Q=14 |
| C. P=10 and Q=31 |
| D. P=14 and Q=15 |
| E. P=15 and Q=14 |
| |
| Answer: E |
|
| 2. A class has 28 students. The ratio
of girls to boys is 4:3. How many girls are in the class? |
| Answer:________________________ |
| |
| Answer: 16 |
|
| 3. Three-fifths of the students in
a class are girls. If 5 girls and 5 boys are added to the class, which statement
is true of the class? |
| A. There are more girls than boys. |
| B. There are the same number of girls
as there are boys. |
| C. There are more boys than girls. |
| D. You cannot tell whether there
are more girls or boys from the information given. |
| |
| Answer: A |
|
| 4. Peter bought 70 items and Sue
bought 90 items. Each item costs the same and the items cost $800 altogether.
How much did Sue pay? |
| Answer: Sue paid_________________________ |
| |
| Answer: 450 |
|
| 5. To mix a certain color of paint,
Alana combines 5 liters of red paint, 2 liters of blue paint, and 2 liters
of yellow paint. What is the ratio of red paint to the total amount of paint? |
| A. 5/2 |
| B. 9/4 |
| C. 5/4 |
| D. 5/9 |
| |
| Answer: D |
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