• Summer Review Work – For students entering Prep 7 in September 2021
This should be completed neatly on loose leaf, with ample work for EVERY question, and turned in on the first day of school in September.  Have a great summer!
Suggestion: You should review the topics listed below (in detail) and then complete the exercises that follow.

• Fractions
• Decimals
• Ratios, Rates, & Proportions
• Applications of percentages
• Order of Operations
• Systems of Measurements
• Algebraic expressions, equations, and inequalities
• Planar & Spatial Geometry
• Graphing coordinates
• Basic Statistics
• Integers

EXERCISES
1. What is five times the sum of 2/5 and 1/3?

1. If you purchase three shirts for \$12.38 each and pay \$2.81 in taxes, how much change will you receive from the cashier if you give her a \$50-bill?

1. If the area of a rectangle is 3/16 square yards and its length is 0.5 yard, what is the width of this quadrilateral?

1. Convert 8 miles into feet and then into inches.

1. There are three bundles of wood with a sum of 35 3 4 pounds.  Two of the bundles weigh 12 3 8 pounds and 8 1 2 pounds.  How much does the third bundle weigh?

1. If the perimeter of a square is 48 cm, what is the length of one of its sides?  Then, calculate the square’s area.

1. If you plan to pay off a loan of \$5,800 by submitting \$250 per month, how many months will it take you to pay this debt off entirely and how much will your final payment be?

1. Two angles of a triangle measure 32˚ and 52.4˚.  Calculate the measure of the third angle.  Classify this triangle in two ways.

1. Evaluate:         103 – (12 – 9) + 32 – 92 ÷ -4

1. A 120-watt light bulb uses 0.1 kilowatt of electricity per hour.  If electricity costs \$0.20 per kilowatt hour, how much does it cost to have the bulb on for an hour?

1. Convert 3/7 into a decimal and round off to the nearest thousandth.

1. What is 8/9 of -72?

1. Solve and graph the solution set:                   3x – 12 > -6

1. List all whole-number factors of 28.  Which of these #s are composite?

1. What is 1.35 x 105 written in standard form?

1. Sketch an irregular heptagon.

1. Given the expression 5(4x + 2y) – 10, evaluate this if x = 2.3 and y = -3.

1. Jody reads a book at a rate of 1 page every 3 minutes.  If her reading rate remains the same, how long will it take her to read 18 pages?

1. Explain, in words, how to plot the ordered pair (-15, 8).

1. A hotel has a number of meeting rooms, m, available for events.  Each meeting room has 325 chairs.  Write an algebraic equation to represent c, the total number of chairs, in all of the meeting rooms at the hotel.  Then, use your equation to determine the total number of chairs in the hotel if there are 6 meeting rooms.

1. What is the quotient of 12,735 and 13 written as a mixed number?

1. If a baker is making 7 apple pies for every 4 cherry pies, how many cherry pies will he make if he bakes 42 apple pies?

1. How much larger is 46.3 than 41.062?

1. If you use your 15% employee discount on a television that costs \$2,300 and then have to pay an 8% tax, what will your total be?

1. Explain, in words, how to calculate the area of a trapezoid.

1. Convert 4/5 into a decimal and a percent.

1. Simplify:          4(y – 2) + 2(3y – 1)

1. If you flip a standard coin, what is the probability of landing on tails?  Explain.

1. How much smaller is 43 than 64?

1. If you sign up for a cell phone plan that charges a base price of \$28 a month in addition to a fee of \$0.02 per text message, how many text messages can you send during a one month period if you have a budget of \$50?

1. Using the concept of absolute value, calculate the distance between the given ordered pairs (-38, 10) and (-241, 10).

1. If a = -12 and b = 0.45, what is value of 7a – 3b?

1. John traveled 210 miles over a period of 3.5 hours.  What was his average speed?

1. Construct a box plot for the data:                  13, 8, 8, 12, 10, 3, 8, 9, 17, 20, 4

1. Sketch a circle and then draw one radius and one diameter, clearing labeling each.

1. Every five years in March, the population of a certain town is recorded.  In 1995, the town had a population of 4,500 people.  From 1995 to 2000, the population increased by 15%.  From 2000 to 2005, the population decreased by 4%.  What was the town’s population in 2005?

1. The width of a rectangle is represented by (m + 5) inches and the length of this rectangle is displayed as (2m – 1) inches.  Write a simplified algebraic expression that portrays the rectangle’s perimeter.

1. Solve:   8(2r – 9) = 56

1. What is the sum of -28 and 16?

1. Calculate the quotient of 3/8 and -4/5.

1. What is the surface area of cube with an edge length of 6.8 yards?

1. What is 90% of 25% of 2,000?

1. How many centimeters are there in 15 meters?

1. Square the mixed number 7 ¾ and then subtract 5/9 from that result.

1. How are parallel lines different from perpendicular lines?

1. The value 40 is increased to 50.  What is the percent of increase here?

1. Simplify:          -38 + (7)(-10)(2) – 24 ÷ 4

1. You earned \$450 in July for mowing lawns.  If you spend 2/5 of your earnings on food/snacks and spend 1/3 of this money at the arcade, how much do you have left?

1. Define: Rational Number.  Then give three examples of such.

OTHER ITEMS TO PRACTICE IN PREPARATION FOR 7th GRADE:
MENTAL MATH
• Multiplication Tables for Wholes #s 0 – 13
• Taking Percentages of Values
• Perfect Squares (0 to 625)
• Perfect Cubes (0 to 1,331)
• Conversions of Basic Fractions to Equivalent Decimal & Percent forms
• Computing the Four Main Operations among Integers