(version: 2018-11-01) Placement Test for Rod and Staﬀ … · provided by the friendly folks at MilestoneBooks.com • oﬃ[email protected] • 800-761-0234 (version: 2018-11-01)

provided by the friendly folks at MilestoneBooks.com • [email protected] • 800-761-0234

(version: 2018-11-01)

Placement Test for

Rod and Staff Mathema�cs for Chris�an Living Series

Direc�ons:

The student should begin the test a grade or two below their expected grade, just to ensure they have indeed

mastered previous concepts. There are 15 ques"ons per grade, and the student may con"nue through the grades of the

test as far as they seem confident.

If they have go%en at least 80% (12 of 15 ques"ons) correct in a par"cular grade, consider them as having

mastered that grade level and are ready for the next. Each grade course will include some review, so it’s not necessary to

show mastery in every area. The “objec"ves” (stated in square brackets for each ques"on) list the skills that are being

tested at each grade level. These will also help you locate areas of student weakness.

The answer key is available by email request. Let us know if you have any feedback about using this test.

Placement Test - Math • Grade 1

Grade 1

[Can count objects]

Count the number of objects:

8A.

9B.

7C.

6D.

1.

[Can iden�fy up to three-digit numbers]

Which number is one hundred eighteen?

180A.

81B.

118C.

108D.

2.

[Can add one-digit numbers]

3 + 5 =

4A.

8B.

9C.

3D.

3.


[Can add one-digit number with two-digit number]

13 + 6 =

16A.

73B.

7C.

19D.

4.

[Can add two-digit numbers]

24 + 33 =

27A.

65B.

57C.

67D.

5.

[Can subtract one-digit numbers]

5 − 2 =

3A.

7B.

4C.

9D.

6.

[Can subtract one-digit number from ten]

10 − 6 =

6A.

7B.

4C.

3D.

7.

[Can iden�fy simple frac�ons]

Which frac5on is one half?

A.

B.

C.

D.

8.

[Can iden�fy place values to the hundreds’ place]

Which number in 472 is in the hundreds’ place?

1A.

4B.

7C.

2D.

9.


[Can perform mixed computa�on of addi�on and subtrac�on]

3 + 5 − 2 =

8A.

6B.

10C.

4D.

10.

[Can compare simple measures]

How many inches are in a foot?

12A.

5B.

10C.

17D.

11.

[Can iden�fy simple shapes]

Which one of these is a triangle?

A.

B.

C.

D.

12.

[Can tell �me to the hour and half-hour]

What 5me does the clock show?

1

2

3

4

56

7

8

9

10

1112

3:12A.

3:00B.

12:03C.

12:15D.

13.

[Can solve simple story problems]

If Tom had 11 apples and gave 4 to his sister, Jill, how many apples does he have now?

8A.

15B.

13C.

7D.

14.


[Can skip count]

What are the first three numbers when coun5ng by twos?

1, 2, 3A.

2, 3, 4B.

2, 4, 6C.

1, 3, 5D.

15.


Grade 2

[Can add two and three-digit numbers]

53 + 108 =

165A.

151B.

155C.

161D.

1.

[Can add mul�ple two-digit numbers]

25 + 12 + 81 =

118A.

107B.

74C.

138D.

2.

[Can add three-digit numbers]

452 + 226 =

588A.

494B.

678C.

774D.

3.

[Can subtract two-digit numbers from three-digit numbers]

796 − 92 =

692A.

704B.

888C.

694D.

4.

[Can subtract three-digit number from three-digit numbers]

489 − 224 =

163A.

265B.

275C.

244D.

5.


[Can count by fives]

What are the first three numbers in coun5ng by 5s?

1, 5, 10A.

3, 4, 5B.

5, 6, 7C.

5, 10, 15D.

6.

[Can add coin values]

Jacob has 3 nickels, 2 pennies, and 1 dime. How many cents does he have altogether?

27A.

22B.

6C.

37D.

7.

[Can compare minutes and hours]

How many minutes are in an hour?

10A.

12B.

25C.

60D.

8.

[Can compare ounces and pounds]

How many ounces are in a pound?

10A.

12B.

16C.

60D.

9.

[Can convert cents and dollars]

What is 189 cents in dollars?

$18,900A.

$1.89B.

$0.189C.

$189D.

10.

[Can carry once in an addi�on process]

54 + 47 =

91A.

101B.

83C.

113D.

11.


[Can carry twice in an addi�on process]

167 + 263 =

320A.

430B.

1,310C.

330D.

12.

[Can borrow once in a subtrac�on process]

62 − 47 =

15A.

17B.

5C.

25D.

13.

[Can tell �me to the quarter hours]


1

2

3

4

56

7

8

9

10

1112

5:45A.

5:09B.

9:05C.

4:45D.

14.

[Can solve word problems involving 2nd-grade arithme�c]

Alfred had 84 cents, then he spent 37 cents on a carrot. How many cents does he have le@?

57A.

47B.

53C.

41D.

15.


Grade 3

[Can perform mixed computa�on of addi�on and subtrac�on with two-digits numbers]

22 − 18 + 37 =

53A.

49B.

41C.

31D.

1.

[Can borrow twice in a subtrac�on process]

263 − 88 =

285A.

181B.

113C.

175D.

2.

[Can mul�ply lower one-digit numbers]

3 × 4 =

1A.

7B.

9C.

12D.

3.

[Can mul�ply upper one-digit numbers]

6 × 8 =

24A.

48B.

14C.

45D.

4.

[Can divide lower one-digit divisors]

8 ÷ 2 =

2A.

6B.

4C.

3D.

5.


[Can divide with higher one-digit divisors]

54 ÷ 9 =

12A.

8B.

6C.

5D.

6.

[Can divide and answer with a simple frac�on]

3 ÷ 6 =

A.

B.

2C.

D.

7.

[Can perform mixed computa�on involving mul�plica�on and addi�on]

3 × 9 + 1 =

22A.

28B.

30C.

25D.

8.

[Can mul�ply with a two-digit mul�plicand]

48 × 6 =

288A.

182B.

162C.

248D.

9.

[Can mul�ply with a three-digit mul�plicand]

912 × 4 =

1,498A.

3,648B.

2,958C.

2,848D.

10.

[Can divide two-digit dividends, outside �mes tables]

84 ÷ 6 =

8A.

9B.

12C.

14D.

11.


[Can use proper dollar nota�on]

How many dollars is 264 cents?

$264.00A.

$26.40B.

$3.00C.

$2.64D.

12.

[Can divide involving three-digit dividend with two-digit quo�ent]

504 ÷ 8 =

54A.

88B.

63C.

27D.

13.

[Can divide involving three-digit dividend and three-digit quo�ent]

695 ÷ 5 =

119A.

139B.

123C.

103D.

14.

[Can add dollar amounts]

$2.14 + $1.57 =

$3.71A.

$4.61B.

$20.61C.

$21.71D.

15.


Grade 4

[Can read and write up to nine-digit numbers]

What number is eight million, sixty-five thousand, seven?

8,657A.

8,065,007B.

1,800,065,007C.

8,000,657D.

1.

[Can tell �me by five-minute intervals]


1

2

3

4

56

7

8

9

10

1112

5:05A.

1:05B.

5:01C.

1:25D.

2.

[Can read Roman numerals involving characters I–C]

What is the value of the Roman numeral CXXXIV?

134A.

86B.

136C.

84D.

3.

[Can convert metric measurements]

How many meters are in 5 kilometers?

15A.

500B.

1,000C.

5,000D.

4.

[Can subtract from zero in three- and four-digit numbers]

600 − 346 =

264A.

356B.

254C.

266D.

5.


[Can divide, resul�ng in a remainder]

34 ÷ 6 =

5A.

5 R 6B.

6C.

5 R 4D.

6.

[Can add four-digit numbers, resul�ng in a five-digit sum]

1,982 + 3,092 + 5,863 =

9,837A.

10,937B.

9,747C.

11,147D.

7.

[Can reduce simple frac�on to lowest terms]

What is in lowest terms?

A.

B.

C.

D.

8.

[Can solve two-step story problems]

Ben spent $12.85 for a dic5onary and $0.69 for a bookmark. What was his change from $20.00?

$6.46A.

$7.46B.

$7.56C.

$8.66D.

9.

[Can determine factors of a number]

Which number is a factor of 12?

8A.

11B.

4C.

5D.

10.


[Can read and understand a bar graph]

According to the graph, how many more books did Daniel read than Abigail?

Book Reading Progress

Mary

Daniel

Peter

Abigail

0 1 2 3 4 5 6 7 8

1A.

4B.

7C.

3D.

11.

[Can add frac�ons with different denominators]

A.

B.

C.

D.

12.

[Can divide four-digit dividend]

5,130 ÷ 6 =

855A.

848 R 5B.

954 R 2C.

866D.

13.

[Can find average]

What is the average of 16, 12, 20, 24, and 18?

18A.

12B.

24C.

17D.

14.


[Can mul�ply four-digit mul�plicand]

2,450 × 7 =

16,850A.

16,100B.

14,835C.

17,150D.

15.


Grade 5

[Can convert units of �me]

How many minutes are in 7 hours?

350 minutesA.

420 minutesB.

700 minutesC.

540 minutesD.

1.

[Can convert units a7er addi�on and subtrac�on]

What is 4 gal. and 3 qt. plus 6 gal. and 2 qt. plus 3 gal. and 3 qt.?

14 gallons and 2 quartsA.

14 gallons and 3 quartsB.

15 gallonsC.

14 gallonsD.

2.

[Can determine greatest common factor of a number]

What is the greatest common factor of 12 and 32?

2A.

4B.

12C.

64D.

3.

[Can recognize prime numbers]

Which number is a prime number?

6A.

13B.

9C.

4D.

4.

[Can mul�ply three-digit mul�plicand and mul�plier]

786 × 213 =

167,218A.

4,716B.

147,218C.

167,418D.

5.


[Can recognize decimal place values to the thousandths’ place]

Which number in 4.837 is in the hundredths’ place?

4A.

8B.

3C.

7D.

6.

[Can add decimals]

6.37 + 3.045 + 0.802 =

9.884A.

10.217B.

10.184C.

9.1217D.

7.

[Can mul�ply decimals]

6.490 × 58 =

376.42A.

84.37B.

352.72C.

78.67D.

8.

[Can convert frac�ons to percents]

The frac5on is equal to what percent?

3%A.

20%B.

15%C.

33%D.

9.

[Can mul�ply mixed, whole, and frac�onal numbers]

A.

B.

C.

D.

10.


[Can divide with frac�ons]

A.

B.

C.

D.

11.

[Can recognize key temperature points]

What is the freezing point of water on the Fahrenheit scale?

100°FA.

0°FB.

−40°FC.

32°FD.

12.

[Can recognize angle types]

What type of angle is this?

45°

RightA.

AcuteB.

ObtuseC.

StraightD.

13.

[Can recognize congruency of shapes]

Which pair of shapes are congruent?

A.

B.

C.

D.

14.


[Can determine perimeter of a rectangle]

What is the perimeter of the rectangle?

12 ft.

6 ft.

36 @.A.

24 @.B.

18 @.C.

2 @.D.

15.


Grade 6

[Can solve problems with the rela�onship of distance, rate, and �me]

If Henry travels 442 miles at 52 m.p.h., how long will it take him to reach his des5na5on?

9.1 hoursA.

8.5 hoursB.

7 hoursC.

6.6 hoursD.

1.

[Can determine prime factors]

What are the prime factors of 84?

2, 2, 2, 3, 3A.

2, 2, 2, 5B.

2, 2, 3, 7C.

3, 7, 11D.

2.

[Can find least common mul�ples]

What is the least common mul5ple of 16 and 36?

36A.

144B.

178C.

84D.

3.

[Can divide frac�ons and mixed numbers]

A.

B.

C.

D.

4.

[Can read Roman numerals involving characters I–M]

What number is MCXLVII?

1,642A.

967B.

1,147C.

647D.

5.


[Can round decimals to the thousandths’ place]

What is 12.905786 rounded to the nearest thousandth?

12.9057A.

12.905B.

12.906C.

12.9058D.

6.

[Can convert metric units of capacity]

How many cen5liters are in 13 hectoliters?

1,300A.

130B.

130,000C.

13,000D.

7.

[Can convert between English and metric units]

How many pounds are in a kilogram?

2.2A.

1.15B.

0.87C.

5.0D.

8.

[Can calculate the percentage of a number]

56% of 125 =

108A.

137.5B.

56C.

70D.

9.

[Can calculate a number as a percentage of another]

If 60% of a number is 18, what is that number?

27A.

10.8B.

32.4C.

30D.

10.

[Can calculate profit]

If James buys a book for $4.67, sells it for $9.95, and pays a shipping cost of $1.37, how much is his profit?

$5.28A.

$9.95B.

$3.91C.

$4.08D.

11.


[Can calculate the area of a triangle]

What is the area of the triangle?

12 ft.

18 ft.

108 @.2A.

216 @.2B.

30 @.C.

60 @.D.

12.

[Can calculate the circumference of a circle]

What is the circumference of a circle with a radius of 2.5 inches, to the nearest tenth?

7.9 inchesA.

15.7 inchesB.

19.6 inchesC.

12.5 inchesD.

13.

[Can differen�ate between different types of triangles]

What type of triangle is this?

ObtuseA.

RightB.

EquilateralC.

AcuteD.

14.


[Can use a circle graph]

According to the graph, which three con5nents combined make up less than one-quarter of the land area of the earth?

Land Area of the Continents

Asia(30%)

Africa(20%)North America

(16%)

South America(12%)

Antarctica(9%)

Europe(7%)

Oceania(6%)

Antarc5ca, South America, AfricaA.

South America, Oceania, AsiaB.

Africa, Antarc5ca, EuropeC.

Europe, Oceania, Antarc5caD.

15.


Grade 7

[Can calculate with percents greater than one hundred]

165% of 80 =

132A.

197B.

157C.

52D.

1.

[Can calculate commissions of sales]

Phillip receives a 15% commission on everything he sells at work. One day, he sold a lawn mower for $53 and a set of

flower boxes for $15. How much did Phillip make in commissions for those two items?

$9.20A.

$17.87B.

$10.20C.

$21.87D.

2.

[Can calculate unit prices]

If an 8 ounce block of cheese costs $3.36, how much does the cheese cost per ounce?

$1.09A.

$0.42B.

$0.67C.

$0.27D.

3.

[Can solve reading problems with extra informa�on]

On one round trip to Central America, the beginning odometer reading on the vehicle was 72,121 miles. The oil was

changed at 75,124 miles, and at the end of the trip the odometer showed 79,115 miles. At 11 miles per gallon, how

many gallons of fuel did the vehicle use on the trip?

A.

B.

C.

D.

4.


[Can calculate the volume of a cylinder]

What is the volume of the cylinder to the nearest tenth of a cubic cen5meter?

4 cm

2 cm

16.0 cm2A.

25.1 cm2B.

37.7 cm3C.

50.3 cm3D.

5.

[Can convert between Celsius and Fahrenheit temperature scales]

What is 68°F in Celsius to the nearest degree?

38°CA.

8°CB.

20°CC.

45°CD.

6.

[Can convert between frac�ons and non-termina�ng decimals]

What is in frac5onal form?

A.

B.

C.

D.

7.

[Can solve problems using order of opera�on rules]

(6 − 3)8 − 4 =

20A.

12B.

−6C.

7D.

8.

[Can mul�ply compound measures]

What is 7 5mes 5 @. 9 in.?

40 @. 3 in.A.

44 @. 7 in.B.

41 @. 3 in.C.

38 @. 9 in.D.

9.


[Can calculate small numbers with exponents]

62 =

8A.

12B.

36C.

54D.

10.

[Can calculate square roots]

16A.

8B.

4C.

32D.

11.

[Can properly use signed numbers in addi�on and subtrac�on]

(−9) + 7 − (−3) =

16A.

19B.

−5C.

1D.

12.

[Can properly use signed numbers in mul�plica�on and division]

A.

B.

C.

D.

13.

[Can calculate simple algebraic expressions by subs�tu�on of numerical values]

If a = 2, b = 3, and c = 4, then: ab + c =

10A.

24B.

9C.

15D.

14.

[Can calculate simple algebraic expressions by solving for an unknown]

If x − 12 = 24, then: x =

16A.

36B.

40C.

12D.

15.


Grade 8

[Can perform advanced arithme�c according to order of opera�ons]

2[3 + 3(12 − 32)] =

33A.

42B.

24C.

36D.

1.

[Can solve problems involving propor�ons]

Find the value of n in this equa5on:

130A.

180B.

160C.

80D.

2.

[Can determine a median]

Find the median of these numbers:

1, 1, 1, 2, 5, 5, 6, 7, 8

6.3A.

4B.

5C.

1D.

3.

[Can solve problems using the Pythagorean rule]

What is the length of the triangle’s hypotenuse? Use Pythagorean rule to solve.

9

12

15A.

18.5B.

21C.

14.2D.

4.

[Can mul�ply and divide numbers with exponents]

46 ÷ 42 =

3A.

43B.

44C.

12D.

5.


[Can add and subtract monomials]

2x − 4x + 6x =

4 − 4xA.

8x + 1B.

12xC.

4xD.

6.

[Can calculate decrease in reading problems]

At a produce market, apples originally cost $1.70 per pound. The apples are now discounted by 20%. With the

discount, how much do 5 pounds of apples cost, to the nearest cent?

$6.80A.

$3.47B.

$1.70C.

$7.33D.

7.

[Can simplify literal numbers with exponents]

In simplified form,

x4A.

x7B.

x3C.

x6D.

8.

[Can simplify polynomials]

5s − 4t − 2s + 3t + 6 =

2st + 6A.

3s − t + 6B.

8stC.

3s(−t)6D.

9.


[Can calculate the area of compound figures]

What is the area of this shape?

7 in.

12 in.

10

in

.

4 in

.

97.3 in.2A.

213.1 in.2B.

114.1 in.2C.

128.3 in.2D.

10.

[Can calculate the surface area of a rectangular solid]

What is the surface area of the rectangular solid?

12 in.

5 in.

4 in

.

128 in.2A.

240 in.2B.

236 in.2C.

256 in.2D.

11.

[Can calculate simple interest]

What is the interest on $525 at 4% for 5 years?

$105.00A.

$4.20B.

$262.50C.

$73.20D.

12.

[Can extract square roots from five-digit numbers]

What is the square root of 17,424?

418A.

132B.

268C.

148D.

13.


[Can solve reading problems that present word equa�ons]

Marlene is three 5mes older than Darren. The sum of their ages is 36. How old is Darren?

27A.

5B.

9C.

12D.

14.

[Can recognize regularity of polygons]

Which shape is an irregular heptagon?

A.

B.

C.

D.

15.

Documents

(version: 2018-11-01) Placement Test for Rod and Staﬀ … · provided by the friendly folks at MilestoneBooks.com • oﬃ[email protected] • 800-761-0234 (version: 2018-11-01)