6th Grade Math Textbook, Fundamentals

(Marvins-Underground-K-12) #1
1.Two angles of a triangle measure 28 and 62.
What kind of triangle is it?
2.A man’s suit is $290. The tax is 5%. How much tax
must be paid? What is the total cost of the suit?
3.The diagonal of a square forms two congruent
isosceles right triangles. What is the measure of
each congruent angle?
4.Solve each proportion:  ;  ;  ;
 ;  ; 
5.Give the square root of: 4, 9, 25, 49, 16, 121, 144, 225,
64, 36, 81,  4
6.Square each number. 7, 2, , 0.5, 6, 8, 7, 12, 13, 10,
100, 20, 15


  1. Which measures form a right triangle?
    3 m, 4 m, 5 m; 2 m, 2 m, 4 m; 5 cm, 5 cm, 7 mm;
    9 cm, 12 cm, 16 cm;

  2. A triangle has an altitude of 20 m and a base
    of 13.7 m. Find its area.

  3. Find the perimeter of an equilateral triangle
    whose sides are 30 cm.

  4. Name the prime factors of: 4, 6, 8, 9, 10, 15, 18

  5. What are the prime factors of 28?

  6. Find the hypotenuse of a right triangle whose
    base is 1.5 m and height is 2 m.

  7. How long is the diagonal brace on a gate that


(^35) measures 4 ft by 3 ft?
80
100
n
2
n
36
6
18
7
10
n
16
4
12
25
n
5
n
8
n
3
4
5
6
SET 21..........................................................................................................
1.The perimeter of a square is 12 feet. Find the length
of one side in inches.
2.The side of both a square and a regular octagon is
10 cm. How many times greater is the perimeter of
the octagon than that of the square?
3.The circumference of a wheel is 44 cm. What is
the radius?
4.Find the diameter of a pipe whose circumference
is 44 cm.
5.Find the side of a square whose perimeter is: 48 cm,
3.6 cm, 26 ft, 100 in., 12 m, 6.4 m, 2.3 m
6.What is the perimeter of a merry-go-round 28 ft in
diameter? (Use as .)



  1. Find the surface area of a rectangular prism if the
    height is 9 cm and base is 6 cm 4 cm.

  2. How much did Sally pay for dog food if off list
    price saved her 63¢?

  3. Out of 150 tickets, 20% were not sold. How many
    tickets were not sold?

  4. After a radio had been reduced 10%, the sale price
    was $65. What was the original price?

  5. A tree broke 12 ft above its base. The top hit the
    ground 16 ft from the base. How long was the
    fallen part?

  6. Find the surface area of a cube whose edge is:
    3 in., 5 ft, 10 dm, 4 m, 9 in., 10 ft, 30 m


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3

22
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SET 22.........................................................................................................


1.The area of a rectangle is 1 times the area of the
square. If the rectangle’s area is 12 ft^2 , what is the
area of the square?
2.Find the area of a square with sides of: 4 in., 12 m, 1
ft, 11 ft, 5 cm, 10 yd, 6 in., 4 m, 20 cm
3.Find the area of a rectangle with sides of: 8 m and
11 m, 9 ft and 6 ft, 15 in. and 4 in.
4.At $24.75 each, about how much will 4 shirts cost?
5.What number is 4 more than 8 6?


  1. Let x5 and w4. Evaluate: xw; 2x 2 w; xw;
    2(xw); 3x• 2w; 2wx

  2. Write the number sentence suggested by a number-
    line move from 6 to zero.

  3. Evaluate abwhen a12 and b3; When
    a9 and b6; when a20 and b 14

  4. Use exponents and write in expanded form: 63,507.

  5. Sue’s watch gains 2.1 minutes in a week. What is the
    average number of minutes it gains per day?


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3

SET 23.........................................................................................................


1.What is the area of a circular tabletop having a
diameter of 1.4 m?
2.Find the circumference of a circular flower bed
that is 2.1 m in diameter.


  1. of a number is 14. What is the number?
    4.Is more or less than 0.7? More or less than?
    5.If n7, what number is named by 18 ?
    6.A pamphlet of 30 sheets of paper is 0.12 inches
    thick. About how thick is one sheet?
    7. Express each rate in simplest form: 100 miles in
    2 hours; 5 pencils for 40¢; 40 gallons in 40 seconds;
    150 meters in 3 seconds; 9 apples for 75¢

  2. If a car travels at the rate of 65 miles per hour,
    what is the distance traveled by the car in 9xhr?

  3. Write 35% as a fraction.

  4. The original amount was $25. The new amount
    is $35. What is the percent of change?

  5. Express as percents: 0.25, 0.05, 0.1, 0.15, 0.061


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8

3
5

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n
5

SET 24.........................................................................................................


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