Download Summer Math

Summer Math
Grade 7
Week 1
1. A 28-inch ribbon was cut into four equal lengths. How long was each ribbon?
(25)
2. In a class of 28 students there were 12 boys. What is the ratio of boys to girls?
(23)
(16)
3. In a school with 117 seventh-grade students and about 29 students per class, how many
seventh grade classes are there?
4. The number 360 is not divisible by
(21)
a. 4
5. 9 + 3 x 5 –
b. 5
c. 6
d. 7
= ___________.
(92)
(18)
6. Jorge punted the football three times. The punts traveled 38 yd, 42 yd, and 41 yd. The average
length of the three punts was
a. Less than 38 yd
c. Between 38 yd and 42 yd
b. more than 42 yd
d. cannot tell
7. List the factors of 24.
(19)
8. What is the Greatest Common Factor (GCF) of 24 and 18?
(20)
9. Segment AB in the diagram is a ___________________.
(27)
A
10. If of a dozen pencils were sharpened, then how many were sharpened?
(22)
B
Summer Math
11.
+
-
(5, 24)
12. 1 (Inv.2)
13. One half of is ______________.
(29)
14. The sum of and is _____________.
( 24, 25)
15. 3 + 2
(26)
16. In the box was of a pizza. David took of the pizza. What fraction of the pizza was still in the box?
(24, 29)
17. What is the Least Common Multiple of 6 and 9?
(30)
18. The perimeter of a square is 64 cm. What is the measurement of each side?
(8)
19. If x
= 1, then
equals ______________.
(30)
20. The eighth number in the sequence 8, 16, 24, 32,. . . is _______.
(10)
Summer Math
Grade 7
Week 2
1. In triangle ABC, angle B is
A
(28)
A. acute
B. right
B
C. obtuse
C
D. straight
2. In the equation 4w = 320, what is the unknown?
(4)
3. What percent of the circle is shaded?
(Inv. 2, 22)
4. Which fraction does not equal
?
(Inv. 2)
A.
5.
B.
C.
D.
In the basketball game Brenda made 6 of her 15 shots. What fraction of her shots did she make?
(6, 29)
6. The table shows the fraction of shots that Brenda’s teammates made. Which of the four players made the largest
fraction of her shots?
(Inv.2)
Fraction of Shots made
Players
Fraction
Maricruz
Ting
Molly
Jasmine
7.
(92)
8. A number cube is rolled once. What is the probability of rolling a number greater than 2?
(58)
9. If one side of a regular hexagon is 6 inches, what is the perimeter?
(8,60)
10. Find the area of this rectangle.
12cm
(31)
8cm
Summer Math
11. Which digit is in the thousandths place of 2.3456?
(34)
12. 2 + 3.4 + 0.56
(38)
13. 1 - 0.24
(4)
14. 0.4 x 0.16
(39)
15. The diameter of the front wheel of a small bike is 20 inches. How far does the bike travel in one full turn of the
wheel?
(47)
16. All these numbers are prime except
A. 7
B.
9
C.
11
D.
13
(19)
17. A team won 12 of its 18 games and lost the rest. What was the team’s win – loss ratio?
(23)
18. When Sam went to the sharpener his pencil was 6 inches long. When he came back from the sharpener his pencil
was
inches long. His pencil was how many inches shorter after he went to the sharpener?
(36)
19. The five apricots weighed a total of 1.2 pounds. What was the average weight of each apricot?
(45)
20. 1.2 ÷0.06
(49)
Summer Math
Grade 7
Week 3
1.
One gallon is about 3.78 liters. Ten gallons is about ___________liters.
(46)
2.
+
(42, 56)
3.
-
(42, 56)
4.
Which fractions are arranged from least to greatest?
A.
, ,
B.
C.
D.
(56)
5. For the 10-K run/walk, Monique ran about 3 miles and walked about 2 miles. Altogether, Monique ran and
walked about how many miles?
(59)
6. 6 - 1
(48)
7. If the sales tax rate is 8 , the tax on a $9.29 item is _________________.
(41, 51)
8. Write an equivalent division problem for 400 ÷ 16 that has a one digit divisor. Then find the quotient.
(43)
9. The number of feet in a yard is 3. The number of square feet in a square yard is __________________.
(38)
10.
(54)
Summer Math
11. A 60-inch square table cloth is centered on a 48-inch square table so that the same length of table cloth hangs over
each edge. How much of the cloth hangs over each edge?
(PS)
12. Half of a gallon is a half gallon. Half of a half gallon is a quart. Half of a quart is a pint. Half of a pint is a cup. A cup
plus a pint plus a quart is what fraction of a gallon?
(PS)
13.
–
= _________________
(92)
14. If of the 600 seeds sprouted, how many seeds did not sprout?
(77)
15. The ratio of boys to girls in the class is 3 to 4. If there were 12 boys, how many girls were there?
(88)
16. What is the perimeter of this triangle?
(8)
9cm
15cm
17. What is the area of this triangle?
12 cm
(79)
18. The lowest part of the roof is 3.08 m high. The peak of the roof is 4 m high. The peak is how many meters higher
than the lowest part of the roof?
(40)
4m
3.08
19. 2.5 x 0.03
(39)
20. 0.3 ÷
(38, 45)
Summer Math
Grade 7
Week 4
1.
(49)
2.
is between which two consecutive whole numbers?
(89)
3.
(55)
4. Marcie had 4 yards of material and used 2 yards for pillowcases. Now how many yards of material does Marcie
have?
(63)
5. Find the area:
4 ft
(31, 66)
3 ft
6. 10 ÷ 3
(68)
7. 5 = 12,
= _________________
(87)
8. What is the circumference of this circle?
(47)
5cm
9.
What is the area of this circle?
(86)
10. If 75% of the 20 answers were correct, then what fraction were correct?
(33)
Summer Math
11. Find the volume of this rectangular prism.
5 in.
(82)
6 in.
12 in.
12. A cube has
(Inv. 6)
a) How many faces?
b) How many edges?
c) How many vertices?
13. The coordinates of three vertices of a rectangle are (3, -2), (3,2), and (-1, 2). The fourth vertex is at what point?
Draw a coordinate plane to help you.
(Inv. 7)
14. The movie is 118 minutes long. If it starts at 4:25p.m. then what time does it end?
(32)
15. Which set of numbers is arranged from least to greatest?
(14, 17)
A. -2, 1, , 0, 3
B. 0.3, -2, , 1
C. -2, 0.3, , 1
D. -2, , 0.3, 1
16. What is the prime factorization of 900?
(73)
17. In a bag are 8 red marbles and 2 blue marbles. What chance does Gracia have of drawing a blue marble in one try
without looking?
(23, 58)
18. 3 + 3 x 3 - 3 ÷ 3
(84)
19.
-
- 2 x 5 = _______________
(92)
20. 7610 ÷ 25
(25)
Summer Math
Grade 7
Week 5
1. 8.75 + 6 + 4.5
(38)
2. 1.8 - 0.25
(40)
3. 0.15 x 4.2
(39)
4. 3.64 ÷ 0.7
(49)
5. 1 + 2
(59)
6. 3 - 1
(63)
7.
x 3
(66)
8. 2 ÷ 1
(68)
9. Reduce:
(29)
10. Which digit in 64, 327.891 is in the thousands place?
(12)
Summer Math
11. Write 2 million in standard notation.
(12, 113)
12. 1.2 m = _________cm
(114)
13. Which is the most reasonable measure for the length of a bicycle?
(7)
a.
2 mm
b. 2 m
c. 2 cm
d. 2 km
c.
d. 0.04
14. 40% is NOT equivalent to
(99)
a. 0.4
15.
b.
∙
(92)
16.
is between which two consecutive whole numbers?
(89)
17. Twenty-five thousandths may be written
(35)
a. 0.25
b. 25,000
c. 20,005
d. 20,005
e. none correct
18. Estimate the sum of 17.36 and 8.7 by rounding to the nearest whole number before adding.
(51)
19. Which set of numbers is arranged from least to greatest?
(44, 99)
a. 33%, , 0.3
c. 0.3, 33%,
e.
20.
(85)
=
none correct
n = ____________
b. 0.3, , 33%
d.
, 0.3, 33
Summer Math
Grade 7
Week 6
1. The ratio of boys to girls in the class was 2 to 3. If there were 18 girls, how many students were in the class?
(101)
2. The average age of three people is 25. If two of the people are 22, how old is the third person?
(18)
3. Ten children measured and recorded how high they could jump. The results they recorded, in inches, were as
follows:
(Inv. 5)
8, 9, 8, 6, 8, 12, 9, 10, 11, 16
What is the median of these measures?
4.
One white marble, two red marbles, and three blue marbles are in a bag. If one marble is taken from the bag, what
is the probability that it will be blue?
(58)
5. If the price of an item is $2.89 and sales tax is 8%, what is the total cost of the item including sales tax?
(41)
6. What is the price per ounce of a 32-ounce box of cereal priced at $4.16?
(15, 23)
7. A shirt regularly priced at $36.00 was on sale for 25% off. What was the sale price?
(41)
8. Emma correctly answered 21 of 25 questions. What percent of the questions did Emma answer correctly?
(75)
9. At 400 miles per hour, how far can an airplane fly in 2 hours?
(15, 23)
10. Which of these triangles appears to be equilateral?
(93)
A.
C.
B.
D.
Summer Math
11. If angle x measures 38°, what is the measure of angle y?
(98)
y
x
12. What is the perimeter of this figure?
(103)
(All angles are right angles.)
9 cm
15 cm
7 cm
20cm
13. If the radius of a bicycle tire is 10 inches, what is its circumference? (Use 3.14 for )
(47)
14. What is the area of this triangle?
(79)
15 m
12 m
9 cm
15. The diameter of a circular braided rug is 8 feet. What is the area of the rug?
(86)
16. What is the volume of this small box?
2cm
(82)
5cm
8 cm
x
17. Which triangle below appears to be similar to XYZ?
y
(109)
A.
B.
18. In rectangle QRST, which segment is parallel to
C.
z
? T
Q
S
R
(28)
19.
+
=
. Solve for
(38, 92)
20.
(100)
+
+
.
D.
Summer Math
Grade 7
Week 7
1. If a is 3 and c is 12, then 4ac equals ____________.
(96)
2.
(5)
3. Write the prime factorization for 24 using exponents.
(65, 73)
4. Which uppercase letters among W, X, Y, and Z have both reflective and rotational symmetry?
(110)
5. 3m – 1 = 35. m = ____________.
(106)
6. Which of these inequalities shows that the square root of 9 is less than 2 squared?
(9, 38)
a.
b.
c.
d.
e. none correct
7. (-10)(-10)
(112)
8. Find the missing number in the function table.
(96)
x
2x – 3
3
3
5
7
8
?
9. The coordinates of three vertices of a rectangle are (-2, 3), (4, 3), and (4, -3). The coordinates of the fourth vertex
are ________________. Draw a coordinate plane to help you.
(Inv. 7)
10.
(92)
x 4 = ________________
Summer Math
11. What is the difference when the sum of 3 and 4 is subtracted from the product of 4 and 3?
(12)
12. Christina has read 94 pages of a 211-page book. How many pages does Christina need to read to finish the book?
(11)
13. When Nia awoke, the temperature was -8 . By noon the temperature had risen to 10 . How many degrees had the
temperature risen?
(14)
14.
R = ______________
15.
m = ______________
(3)
(4)
16. Round 4367 to the nearest hundred.
(16)
17. Estimate the sum of 5280 and 3910 to the nearest thousand.
(16)
18. Simplify:
(2)
19. What is the average of 6, 10, 8, 7, and 9.
(18)
20. What number is halfway between 17 and 83?
(18)
Summer Math
Grade 7
Week 8
1. List the whole-number factors of 21.
(19)
2. The post office sold 39-cent commemorative stamps in sheets of 20 stamps. What was the price for the sheet of
stamps?
(15)
Player
Use the graph below to answer the following two problems.
Points Distribution in Intramural Basketball Game
Robert
Susan
Takeshi
Maria
Tony
0 2 4 6 8 10 12 14 16 18
3. How many points did Maria and Susan score together?
(Inv. 1)
4. Tony scored how many more points than Robert.
(Inv. 1)
5. What number is
of $7.50?
(6)
6. What is the perimeter of this square?
(8)
8mm
7. What is the next number in this sequence?
(10)
1, 3, 9, 27, _______
(7)
8. How long is this line segment? (Please measure with a ruler)
__________________
9. What is the difference when the product of 0.3 and 0.4 is subtracted from the sum of 0.3 and 0.4?
(12)
10. Which digit in 12,345,678,900 is in the hundred-millions place?
(12)
Summer Math
11. The sales-tax rate is 8%. How much money is 8% of $16?
(41)
12. Estimate the sum of 5867 and 2106 to the nearest thousand.
(16)
13. Simplify:
(2)
14. What is the average of 96, 100, and 92?
(18)
15. Add and reduce:
(24, 29)
16. How much is of two dozen?
(22)
17. Write as a fraction with 8 as the denominator. Then add the fraction to . What is the sum?
(42)
18. What is the area of this square?
(31)
19. Write the decimal numeral for ten and two tenths.
(35)
20. Solve:
(40, 43)
100 cm
Summer Math
Grade 7
Week 9
1. 5.62 + 4 + 0.5
(38)
2. 0.2 x 0.3 x 0.4
(39)
3. 0.123
0.3
(45)
4. 0.45
(49)
5.
(26)
6. Mentally calculate this product: 12.5 x 100
(46)
7. What is the area of this parallelogram?
5 cm
(71)
4 cm
6 cm
8. Quan ordered a $6.80 meal. The tax rate was 7%. He paid with a $10 bill. How much money should he get back?
(41)
9. Compare:
(56)
10. What is the name of a five sided polygon?
(60)
a. hexagon
b. pentagon
c. pyramid
Summer Math
11. Write the prime factorizations of 45 and 54 to reduce
.
(67)
12. Write 12% as a decimal numeral and as a reduced fraction.
(41)
13.
(40)
14.
(39)
15.
(49)
16. 14.5
(52)
17.
(61)
18. 6 - 3
(63)
19.
(68)
20.
(43)
100
Summer Math
Grade 7
Week 10
1. What is the probability of rolling an odd number with one roll of a number cube? Express the probability as a
decimal number.
(58, 74)
2. Ibrahim’s first seven quiz scores are shown below. What is the median of these scores?
17, 19, 18, 20, 19, 18, 20
(Inv. 5)
3. What percent of this circle is shaded?
(6, 75)
4. A triangular prism has how many faces?
(Inv. 6)
5. What is the area of triangle ABC?
(79)
C
6.
13 m
A
5 cm
12 m
B
Which of these terms describes triangle ABC?
(93)
a.
7.
(92)
8.
(92)
9.
(85)
10.
equilateral triangle
b. isosceles triangle c. obtuse triangle
d. right triangle
Summer Math
11.
(92)
12. What number is of 60?
(5)
13.
(40)
14.
(49)
15.
+4+2
(59)
16.
(63)
17.
(68)
18. To change a fraction to a percent, multiply the fraction by 100%. Change to a percent.
(94)
19. Write 3 as a decimal numeral. Then add it to 2.5 and find the sum.
(37, 74)
20. The coordinates of the vertices of a rectangle are (5, 4), (0, 4), (0, 0), and (5, 0). The perimeter of the rectangle is
how many units? Draw a coordinate plane to help you.
(Inv. 7)
Grade 7 Summer Math Answer Key
Week 1
1.) 7 in
2.)
3.) 4 classes
4.) D
5.) 8
6.) C
7.) 1,2,3,4,6,8,12,24
8.) 6
9.) diameter
10.) 10 pencils
11.)
12.)
13.)
14.) 1
15.) 6
16.)
17.) 18
18.) 16 cm
19.)
20.) 64
Week 2
1.)
2.)
3.)
4.)
C
w = 80
25%
D
5.)
6.) Jasmine
7.) 1
8.)
9.) 36 in
10.) 96 cm2
11.) 5
12.) 5.96
13.) 0.76
14.) 0.064
15.) 62.8 in
16.) B
17.)
18.) 2
19.) 0.24 pounds
20.) 20
Week 3
1.) 37.8 L
2.) 1
3.)
4.) D
5.) 6
6.) 4
7.) $0.74
8.) 100 4; 25 or 200 8; 25
9.) 9 ft2
10.)
11.) (60 – 48) = 3 in.
12.)
13.)
14.)
15.)
16.)
17.)
18.)
19.)
20.)
of a gallon
6
200 did not sprout
16 girls
36 cm
54 cm2
0.92 m
0.075
0.05
Week 4
1.) 40
2.) between 6 and 7
3.) 1
4.) 1
5.) 15 ft2
6.) 3
7.) 2 or 2.4
8.) 31.4 cm
9.) 78.5 cm2
10.)
11.) 360 in3
12.) a) 6 faces
b) 12 edges
c) 8 vertices
13.) (-1,-2)
14.) 6:23 pm
15.) C
16.) 22 32 52
17.)
or 20%
18.) 11
19.) -6
20.) 304.4 or 304
Week 5
1.)
2.)
3.)
4.)
19.25
1.55
0.63
5.2
5.) 4
6.) 1
7.) 2
8.) 1
9.)
10.)
11.)
12.)
13.)
14.)
15.)
16.)
17.)
18.)
19.)
20.)
4
2,500,000
120 cm
B
D
107 = 10,000,000
between 14 and 15
E
26
C
18
Week 6
1.) 30 students
2.) 31 years old
3.) 9
4.)
5.) $3.12
6.) 13 cents per ounce
7.) $27.00
8.) 84%
9.) 1,000 miles
10.) C
11.) 52°
12.) 70 cm
13.) 62.8 in
14.) 54 m² *All units should be meters.
15.) 50.24 ft²
16.) 80 cm³
17.) C
18.) ST
19.) c²= 25 therefore c = 5
20.) -7
Week 7
1.) 144
2.) 36
3.) 2³•3
4.) X
5.) 12
6.) A
7.) 100
8.) 13
9.) (-2, -3)
10.) 59
11.) 5
12.) 117
13.) 18°
14.) 118
15.) 26
16.) 4,400
17.) 9000
18.) 72
19.) 8
20.) 50
Week 8
1.)
2.)
3.)
4.)
5.)
6.)
7.)
1,3,7,21
$7.80
18 points
2 more points
$3.75
32 mm
81
8.) 3.3 cm or 1
9.) 0.58
10.) 3
11.) $1.28
12.) 8,000
13.) 2,005
14.) 96
15.)
16.) 20
17.)
18.) 10,000 cm²
19.) 10.2
20.) 0.77
in
Week 9
1.)
2.)
3.)
4.)
10.12
0.024
0.41
1.5
5.) 4
6.) 1,250
7.) 24 cm²
8.) $2.72
9.) >
10.) B
11.)
12.) 0.12;
13.)
14.)
15.)
16.)
1.82
0.36
12.5
0.145
17.) 1
18.) 2
19.) 3
20.) w = 4.3
Week 10
1.)
2.)
3.)
4.)
5.)
6.)
7.)
0.5
19
40%
5 faces
30 m² *All units should be meters.
D
7
8.) 6
9.) n = 12
10.) 24
11.) 30
12.) 36
13.) 6.83
14.) 6
15.) 9
16.)
17.) 1
18.)
•
19.) 6.25
20.) 18 units
=
now divide 200% by 3 to find your answer: 66 %