6th Grade Math Textbook, Fundamentals

1.What is the measure of an angle on a circle graph

that equals 10%? 35%? 75%? 20%?

2.10% of what amount equals $500? equals $150?

3.12 is 120% of what number?

4.Roll a 1–6 number cube. Find the theoretical

probability. P(multiple of 2); P(even); P(not 1 or 6);

P(factor of 4 or 18); P(odd)

5.Is 9^2 greater or less than 2^9?

6.How many permutations can be made using the

letters in each word? DOG, LINE, DECIMAL,

SUBSET, METER, SQUARE, TENS

7. Complete the proportions: 3 : 7  : 21;
   4 : 7 6 : ; 6 : 9  : 45; 2 : 6 : 8
   8. What is the probability: of picking a red item from a
   bag of 8 items with 4 red, 3 brown, and 1 white?
   What is the probability: of picking a red or tan item
   from a bag of 10 items with 4 red, 3 tan, and 3 blue?
   9. What is the volume of a rectangular prism when
   the edges measure: 4 in. 4 in. 10 in.?


8. The edges of a box measure 7 in. by 9 in. by 4 in.
   Find the volume.


9. A small jet travels at a speed of 300 miles per hour.
   How far could it travel in 2 hr?


10. At a speed of 200 miles per hour, how long will it
    take to travel 500 miles? How long will it take to
    travel 750 miles?

1

3

???

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SET 25.........................................................................................................

1.Find the area of a triangle with a base of 40 ft

and a height of 60 ft.

2.An isosceles right triangle has an area of 98 cm^2.

Find the length of each leg.

3.By selling for $100 above cost, a dealer makes

12 % profit. Find the cost.

4.If a truck travels at 90 kilometers per hour, how

far does it travel in one minute?

5.Edwin walked 0.2 kilometers in 5 minutes.

How long will it take him to walk 1 kilometer?

6.Write two numbers greater than 5 and less than

11 that are divisible by 2.

7. Which is divisible by 6? 99, 84, 963, 156, 140
   8.Write the decimal equivalent for.


8. How much rope would you buy if you needed
   8 pieces, each 1 yd long?


9. What number is named by 1.6 103?


10. Dan packed 1020 cards 50 to a pack. How many
    packs were there and how many loose cards?


11. If of a number is 18, what is the number?


12. If of Bill’s age is 6 years, how old is he?


13. After spending 60% of her money, Rosa had
    $20 left. How much money did she have at first?


14. Solve: n 2 9; a 7 6; x 9 20; m 7 6;
    n 4 13; y 6 14; x 7  28


15. Express the ratio in simplest form: 30 cm : 1 m
    5
    6

3

8

3

4

1

2

1

2

SET 26.........................................................................................................

1.8 % of 72 is what percent of 36?

2.Express 2 % as a fraction.

3.What percent of 90¢ is 75¢?

4.Out of 800 employees, 480 are women.

What is the ratio of women to the total?

5.Write the decimal equivalent of.

6.Round 0.2939 to the nearest hundredth.

7. The area of a rectangle is 48 m^2. The length is
   3 times the width. What is the width?
   8. The width of a garden is of its length. The area is
   36 ft^2. What is the width?
   9. What percent of the diameter of a circle is its radius?


8. What is the ratio of a nickel to: a dime, a quarter,
   a nickel, a penny, a dollar?


9. Find of: 8, 12, 16, 24, 36, 48, 40, 72, 100


10. Solve: 6 n8; y 7 9; n 8 10; 4x11;
    8 n16; m 5 10; 8 b17;


11. Use to find the circumference when the radius is 6.

3

4

1

4

8

20

1

2

1

3

SET 27..........................................................................................................

Mental Math 423

1.Find the surface area of each cube: edge 4 in.,

edge 8 in., edge 2.8 m, edge 20 ft

2.Tell the number of faces for: a rectangular prism, a

triangular prism, a cube, a sphere, a cylinder, a cone.

3.Solve for nif one third nequals: 5, 10, 4, 1, 3, 20, 12,

6, 11, 15, 22, 40, 100

4.Find the surface area of a cube whose edge is: 5 yd,

10 cm, 20 m, 25 ft, 100 cm

5. If 1 more than twice a number is subtracted from 6
   times the number, the result is 21. Name the number.


6. Write the product using an exponent: 40 40
   7. What number is named? 6 10 ^4


7. The volume of a square pyramid is 21 yd^3. The
   pyramid’s height is 7 yd. How long is the base?


8. Which has the greater volume: a can 10 cm high
   with a radius of 3 cm or a can 10 cm high with a
   7 cm diameter?

1

2

SET 28.........................................................................................................