Key School – Summer Math Skills Refresher
Rising Sixth Graders
1. Name the place of the underlined digit.
A.
B.
C.
D.
millions
hundred thousands
ten thousands
thousands
2. Add 9.232 + 48.005 + 6.537 =
F. 205.69
G. 122.607
H. 63.774
J. 20.574
3. Estimate the sum 5.763 + 8.054 =
A.
B.
C.
D.
12
14
16
18
4. Multiply 2.7 x 500 =
F.
G.
H.
J.
13,500
1,350
103.5
10.35
5. Estimate the product.
A. 800
B. 900
C. 8,000
D. 80,000
35.7 x 249 =
5,344,926
6. Rewrite using a base number and an exponent.
F.
G.
H.
J.
58
48
85
84
7. Divide mentally, if you can 94.78
A.
B.
C.
D.
8.
5=
125
62
67.5
12.5
9. Estimate the quotient. 4,572
A.
B.
C.
D.
100 =
9.478
0.9478
0.09478
0.009478
62.5
F.
G.
H.
J.
8x8x8x8x8
88 =
5
50
350
500
10. What is the greatest common factor (GCF) of 32 and 56?
F.
16
G.
8
H. 224
J. 1792
Summer Review
2
Rising 6th Grade
11.
What is the simplest form of
A.
4
5
B.
5
7
C.
4
7
D.
2
5
20
?
35
1
4,
12. Order from least to greatest.
F.
2
, 0.23,
9
G.
0.23,
H.
1
,
4
2
9
1
4
2
9
2
,
9
0.23
2
,
9
1
,
4
0.23
1
3 +
46=
J.
13. 5
1
,
4
0.23,
5
5
A.
10 9
B.
1
10 3
C.
10 6
D.
95
1
Summer Review
4
3
Rising 6th Grade
14.
3
9
4 8 - 10 =
F.
4
45
1
G. 4 5
2
H. 3 5
J.
19
3 40
15. Find the missing number and identify the property used.
(2 1/10 + 1 1/8) + x = 2 1/10 + (1 1/8 + ¾)
A.
B.
C.
D.
¾, Associative Property
¾, Commutative Property
2 1/10, Commutative Property
1 1/8, Identity Property
16. Find the missing number and identify the property used.
3 1/2 + x = 1/3 + 3 1/2
F. 1/3, Identity
G. 3 ½, Associative
J. 1/3, Commutative Property
H. 1/3, Associative
17. Round 6.239 to the nearest tenth.
A. 6.3
B. 6.24
C. 6.23
D. 6.2
Summer Review
4
Rising 6th Grade
18. $31.90 x 7
F. $133.30
G. $22.33
H. $223.30
J. $217.30
19. What is the best estimate for 512 x 86?
A. 50,000
B. 36,000
C. 45,000
D. 32,000
20. (8 x 4) x 5 =?
F. 320
G. 160
H. 32
J. 17
5
3
5
21. 1 8 x
=
A. 1
39
40
B. 1
3
40
C.
39
40
D. 1
8
13
Summer Review
5
Rising 6th Grade
22. 2
3
10
F.
G.
H.
J.
+
1
5
=
4
15
3
2
50
1
2
2
1
2
2
23. A 20 pound bag of nails has 7 ¼ pounds left. How many pounds
of nails have been removed?
A.
B.
C.
D.
13 ¼ pounds
13 1/8 pounds
12 ¾ pounds
12 ¼ pounds
24. Which number is composite?
F. 41
G. 43
H. 45
J. 47
25. Identify the type of angle.
A.
B.
C.
D.
acute
right
obtuse
straight
Summer Review
6
Rising 6th Grade
26. What is the best estimate for 7,150 ÷ 91?
F. 90
G. 80
H. 800
J. 900
27. Phil measures the angles of a triangle as 47° and 68°. What is
the measure of the third angle?
A.
B.
C.
D.
145°
115°
75°
65°
28. The zoo collected $2884.00 in ticket fees one day. If each ticket
cost $7, how many people bought tickets?
F. 402
G. 412
H. 512
J. 522
29. What is the prime factorization of 72?
A.
B.
C.
D.
7 x 32
32 x 23
34
25
Summer Review
7
Rising 6th Grade
30. Write 0.45 as a fraction.
F.
1
3
G.
2
5
H.
9
20
J.
1
2
31. The Key Tennis team plays 40 games per season. So far, they
have played 35 games. What fraction of the season have they
played?
A.
1
2
B.
1
3
C.
5
8
D.
7
8
32. Oxford is 9 inches from Biloxi on a map. The map is
3 inches = 14 miles. How far apart are the towns?
F. 378 miles
G. 126 miles
H. 84 miles
J.
42 miles
Summer Review
8
Rising 6th Grade
33. Identify the property used. 8 + 23 = 23 + 8
A.
B.
C.
D.
Identity property
Commutative Property
Associative Property
Distributive Property
34. A triangle with 3 sides of different lengths is always _____?
F. Equilateral
G. Scalene
H. Obtuse
J. Acute
35. Which is a prime number?
A. 9
B. 33
C. 47
D. 111
36. Order 4 2/3 , 4.59, and 24/5 from least to greatest.
F. 4.59, 24/5, 4 2/3
G. 4.59, 4 2/3, 24/5
H. 4 2/3, 24/5, 4.59
J. 24/5, 4.59, 4 2/30
37. Rewrite using a base and an exponent.
3x3x3x3x3x3
A.
B.
C.
D.
33
36
63
66
Summer Review
9
Rising 6th Grade
38. Mr. Myers is cutting a rug to fit his hallway. The rug is 20 feet
by 15 feet. How many square feet will he use?
F.
35 ft.2
G. 300 ft.3
H. 300 ft.2
J.
70 ft.2
39. What is the length a side of a square which has an area of 144 cm2?
A.
B.
C.
D.
48 cm.
31 cm.
12 cm.
36 cm.
40. The city built a square park that has a perimeter of 4,400
yards. How long is one side of this park?
F.
G.
H.
J.
2,200 yards
1,100 square yards
1,100 yards
16,800 yards
41. Jan’s lunch bill is $5.74. She pays with a $10.00 bill. How
much change does she receive?
A. $5.74
B. $4.74
C. $4.26
D. $5.26
Summer Review
10
Rising 6th Grade
42. What is the standard form of three million, twenty-one
thousand, ninety?
F. 3,021,090
G. 3,021,900
H. 3,210,900
J. 3,210,900
43. What is the least common multiple (LCM) of the following
numbers? 4, 5, 8
A.
B.
C.
D.
20
32
40
160
44. What is the measure of angle x?
F. 55°
G. 125°
H. 360°
J. 180°
125°
55°
55°
x°
45. A desk 5 feet wide and 4 feet long has a peg at every foot on
each side and one at each corner. How many pegs are there on
the desk?
A.
B.
C.
D.
14 pegs
16 pegs
18 pegs
20 pegs
Summer Review
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Rising 6th Grade
46. Name the underline place value? 3,113.205
F. Thousandths
G. Thousands
H. Hundredths
J. Hundreds
47. Jim looks at a shape and says, “I see a quadrilateral with exactly
one pair of parallel sides.” Which shape does he see?
A.
B.
C.
D.
rectangle
trapezoid
square
right triangle
48. 53,432 – 25,674
F.
G.
H.
J.
79,106
38,868
32,242
27,758
49. Solve using order of operations:
22 + 7 x 3 – (12 ÷ 4)
A.
B.
C.
D.
84
40
31
47
Summer Review
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Rising 6th Grade
50. Write 13/1000 as a decimal
F. 1.3
G. 0.13
H. 0.013
J. 0.0013
Summer Review
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Rising 6th Grade
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“Summer Math Skills Refresher”
Rising Sixth Graders
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Rising 6th Grade