Blair Christian Academy
Summer Math Packet
Students Entering 7th Grade
Please put the pages in order & staple before submitting to your math
teacher on the first day of school. You must show your work in order to
receive credit. If you need assistance with any problems, please refer
to the Math Video/Website Reference Sheet on the BCA website (click
on Summer Projects).
Student Name _____________________________________
Parent Signature ___________________________________
Skill #1: Decimals and Place Value
Students will be able to determine place value of a given digit.
Write the value of the underlined digit
1) 842,976 2) 761.0325
3) Write seven and ninety-six thousandths as a decimal.
4) Write 9.204 in words.
5) Write 0.0000073 in words.
Skill #2: Comparing and Ordering Decimals
Students will be able to compare decimals and order decimals from least to
greatest.
Write the decimals in order from least to greatest.
6) 7.21 0.712 72.1 0.721
7) 0.01010 0.10101 0.01001 0.00101
Compare using >, <, or =
8) 0.000307 _?_ 0.003007
9) – 6.954 __?__ - 8.96
Skill #3: Rounding
Students will be able to round numbers to a given place value.
10) Round 15,763.753 to the nearest hundredth.
11) Round 96.3721 to the nearest tenth.
12) Round 123.9842 to the place of the underlined digit.
13) Round 2,348,721.5295 to the nearest ten thousands.
14) Round 287.261098 to the place of the underlined digit.
Skill #5: Multiplying Decimals
21) 0.0027 • 0.04
22) 23.4 • 3.6
24) 38.6 x 0.4
25) 342.3 • 7
23) 6.005 • 7.08
Skill #6: Dividing Decimals by Whole Numbers
26) 16.8 ÷ 4
27) 0.1026 ÷ 38
28) 7,354 ÷ 0.01
29). 35.4 ÷ 3
Skill #7: Dividing Decimals by Decimals
Students will be able to divide decimals by decimals.
30) 3.813 ÷ 4.1
31) 0.002847 ÷ 0.73
32) 86.9 ÷ 0.011
33) 0.001071 ÷ 0.51
34) 365.8 ÷ 0.0002
Skill #8: Multiplying and Dividing by Powers of Ten
.
35) 7,354 ÷ 0.01
38) 96.45 x 0.0001
36) 63.57 ÷ 1,000
37) 5.697 x 10,000
39) 0.00056 x 100,000
Skill # 9: Mixed and Improper Fractions
Skill #14: Converting between fractions, decimals, and percents.
68) 35% to a decimal.
69) 0.85 is what as a fraction?
70) 0.153 is what percent?
71) Convert to a decimal.
72) Convert 45% to a fraction.
73) Convert to a percent
4
5
3
5
Skill #15: Comparing and Ordering Integers
Order from least to greatest
74) -8, -2, -10, 5
75) 135, -98, -101, 98, -15, 0
Student skill #16: Integers
3) 45 – 108 =
1) -15 + 8 =
2) -32 + (-40)=
4) -135 + (-86) =
5) 62 – (-54) =
6) -76 – 48 =
7) -65 ÷ 5 =
8) -14 ∙ -7 =
9) -36 ÷ -6 =
Skill # 19: Use the Order of Operations to solve the problems.
6 ÷ ((3 + 10 + 6 − 2 × 9) × 2)
7 ÷ (3 − 2) × 2 ÷ (2 ÷ (8 − 6))
Skill #20: Probability:
A card is drawn from a deck of 52 cards. You may need to familiarize yourself with the cards in a deck to answer
each question. Answers should be in fraction form when necessary.
1. Find the probability of drawing a black card.
2. Find the probability of drawing a red card.
3. Find the probability of drawing a red or black.
4. Find the probability of drawing an ace.
5. Find the probability of drawing either a jack or queen or king.
Skill # 21: Equations
6=
𝑎
+2
4
𝑦+9
=8
3
Write an equation and solve.
1. The sum of three consecutive numbers is 87; what are they?
2. A group of 266 persons consists of men, women, and children. There are four times
as many men as children, and twice as many women as children. How many of each
are there?
Skill #22: Percents
What percent of 200 is 28?
What is 9% of 200?
Skill #23: Inequalities
Graph the following inequality
r ≤ −4
t < −12