PRE-ALGEBRA PLACEMENT TEST
1
Placement Test Instructions
This placement test can help you determine whether your child is ready for the Pre-Algebra
Teaching Textbook. The test is not perfect, so in making any final placement decision also use
common sense.
The student should work independently without the use of a calculator. It is not necessary to time
the test, but most students will finish in less than
1
2
1
hours.
Scoring
The test is divided into two sections. Section 1 includes problems 1 – 15. This is the simpler part
of the test, covering whole numbers and basics on fractions. Section 2 includes problems 16 –
30. It is the more difficult part of the test, covering fractions, decimals, percents, and units of
measurement.
The student is probably ready for Pre-Algebra if he/she makes the following scores on the two
sections.
10 or more correct on Section 1 (problems 1 – 15)
and 8 or more correct on Section 2 (problems 16 – 30),
If the student’s score falls below this level, the Math 7 Teaching Textbook is probably a better
starting point.
TEACHING TEXTBOOKS
2
Pre-Algebra Placement Test
Section 1
Multiply or divide each group of numbers below. Write any remainders next to your answer.
1.
548
7
×
2.
8,412
39
×
3.
315
×
4.
6 73,824
5.
15 9, 409
Reduce each fraction below.
6.
2
18
7.
21
28
Multiply or divide each pair of fractions below. Make sure your answers are fully reduced.
8.
4 5
15 8
×
9.
2 5 3
3 7 4
× ×
10.
2 6
7 14
÷
11.
1 2
4 2
2 5
÷
Tell whether a <, >, or = sign should go between these numbers.
12.
7 ___ 5
− −
13.
44.2 ___ 44.22
− −
PRE-ALGEBRA PLACEMENT TEST
3
14. Find the missing angle in the diagram below.
?
35
68
A
B
C
15. Calculate the area of the figure below.
18 inches
inches
7
7 inches
4 inches
Section 2
Add or subtract each pair of fractions below. Make sure your answers are fully reduced.
16.
1 3
4 8
+
17.
1 2 7
6 5 30
+ + 18.
5 3
6 9
−
19.
1 1
4 1
6 3
−
20. Write sixteen thousandths as a decimal.
Add or subtract each pair of numbers below.
21.
9.687
8.295
+
22.
1.943 0.76
−
23. Divide
44.45 3.5
÷
TEACHING TEXTBOOKS
4
Answer each question below.
24. Write 0.874 as a percent.
25. Write 5.9% as a decimal.
26. What is 45% of 184?
27. Convert 27 feet into yards.
28. How many centimeters are in 3.511 meters?
Solve each word problem below.
29. At a sporting goods store, Franklin tennis racquets normally sell for $110, but this week
they're selling for
1
5
less than their normal price. How much has the price on each
racquet been lowered?
PRE-ALGEBRA PLACEMENT TEST
5
30. The price tag on the remote-controlled helicopter said $79. If Jimmy buys the
helicopter, he'll also have to pay 8% sales tax. How much does the helicopter cost with
tax?
PRE-ALGEBRA ANSWER KEY
1
PRE-ALGEBRA
PLACEMENT TEST
1. 3,836
2. 328,068
3. 204,120
4. 12,304
5. 627 R4
6.
1
9
7.
3
4
8.
1
6
9.
5
14
10.
2
3
11.
15
8
12.
7 5
− < −
13.
44.2 44.22
− > −
14.
77
°
15. 82 square inches
16.
5
8
17.
4
5
18.
1
2
19.
5
2
6
or
17
6
20. 0.016
21. 17.982
22. 1.183
23. 12.7
24. 87.4%
25. 0.059
26. 82.8
27. 9 yards
28. 351.1 centimeters
29. $22
30. $85.32