class 8 maths word problems

5/19/2018 Class 8 Maths Word Problems

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1) Mrs. DiNuzzo has a veg. garden that is a perfect square. It has an area of 324 square feet.

a. what is the length and width of the sqaure shaped garden?

b. If Mrs. DiNuzzo wanted to buy mulch to fill in the garden and mulch costs 3.00 per square

yard, how much would it cost her to fill in the entire garden? (1 yard = 3 feet)

c. If Mrs. Di Nuzzo finds another Nursery that offers mulch for 0.75 per square foot, pleasedetermine the price and the difference compared in question b.

2) 5 Litres of paint will cover 18 m2, and you're painting a square pattern, what is the side lengt

hof the largest square the paint will cover?

3) You have a rectangular frame that is 40 cm by 60 cm, can you put a square picture that has

an area of 800 cm2 completely inside the frame?

4) Daniel's rectangular living room is 12 m by 5.5 m. He has a square rug that covers 3/7 the

area of the floor. What is the side length of the square rug?

5) The hypotenuse of an isosceles right angle triangle has a length of 30m, find the length of

the other two legs of the triangle.

6) A square hot tub is outlined by a 2-foot wide tile border. In an overhead view, the area of the

hot tub and the border together is 144 square feet. What is the length of one side of the hot

tub itself?

7) John bought a bag of lawn fertilizer that will cover 400 square feet. What are the dimensions

of the largest square plot of lawn that the bag of fertilizer will cover?

8) The area A of a circle in square feet with a radius r in feet is given approximately by the

formula 3.14r. What is the approximate area of a circle with a radius of 3 feet?

9) The time t in seconds for an object dropped from a height of h feet to hit the ground is given

by the formula How long will it take an object dropped from a height of 500 feet to

hit the ground? Round to the nearest tenth.

10) A cardboard envelope for a compact disc is a square with an area of 171.61 square

centimeters. What are the dimensions of the envelope?

11) Have you ever wondered how far you can see out from an airplane or from the top of a hill?

How far you can see depends on the curvature of Earth and your height above it.

You can use the formula d = 1.5h to estimate the distance din miles to the horizon when h

is the height of the viewers eyes above the ground in feet.Suppose you are looking out a second floor window 25 ft above the ground. Find the

distance you can see to the horizon. (Round to the nearest mile.)


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12) Refer to the squares below. They represent the approximate areas of California, Alabama,

and Nebraska. Find the area of Alabama

13) Use the figure in Exercise 11. How much larger is California than Nebraska?

14) Digital pictures are made up of pixels (colored dots). The squarecomputer image contains

676 pixels. How many pixels tall is the image?

15) Evaluate the expression a)7169

b)

16) Ms. Estefan wants to put a fence around 3 sides of a square garden that has an area of

225ft2. How much fencing does she need?

17) A karate match is held on a square mat that has an area of 676 ft 2. What is the length of the

mat?

18) A cube has a volume of 1728 cm3, what is the surface area of the cube?

19) For high school wrestling competitions, the wrestling mat must be a square with an area of

1444 square feet. What is the length of each side of the wrestling mat?

20) A square picture frame measures 36 inches on each side. The actual wood trim is 2 inches

wide. The photograph in the frame is surrounded by a bronze mat that measures 5 inches

wide. What is the maximum area of the photography?

21) A box of tile contains 12 tiles. If you tile a square area using whole tiles, how many tiles will

you have left?

22) A can of paint claims that one can will cover 400 square feet. If you painted a square with

the can of paint, how long would it be on each side?

23) simplify (or reduce) the radical 48 350

24) What is the smallest number that you can multiply by 540 to make a square number?

25) The area of a square painting is 2500 cm2. What is the side length of the painting?

5162


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26) The volume of a cube is 64 cm3. What is the surface area of the cube?

27) What should come in place of bothxin the equation

28) The cube root of .000216 is:

29) The least perfect square, which is divisible by each of 21, 36 and 66 is:

30) 1.5625 = ?

31) If 35 + 125 = 17.88, then what will be the value of 80 + 65

32) If a= 0.1039, then the value of is

33) if and then the value of (x2+ y2) is

34) A group of students decided to collect as many paise from each member of group as is the

number of members. If the total collection amounts to Rs. 59.29, the number of the member

is the group is:

35) The square root of (7 + 35) (7 - 35) is

36) If 5 = 2.236, then the value of

37)

38)

39) ( )

simplifies to

40) How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square

of the two-digit number is 8 ?

41) The square root of 64009 is:

42) Simplify , , , ,

, , , ,


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, , ,

Expand: , ,

43) Evaluate:

44) List the factors of 256. Use the factors to determine the square root of 256.

45) If 1000 linking cubes were combined to make a giant cube, what is the area of each face?

46) Davids rectangular living room is 12m by 6m. He has a square rug that covers half the areaof the floor. What is the side length of the square rug?

47) What is the length of the side of a square farm which contains 1764 yd. How far apart are its

opposite corners.

48) If the volume of a cube is 125m3, what is the expression for the length of each side?

49) A large aquarium has a volume of 125m3. It has glass on the bottom and four sides but no

top. The edges are reinforced with angle iron.

a. What is the area of glass required?

b. What is the length of angle iron required?

50) A right rectangular prism measures 9 in. x 8 in. x 24 in. What are the dimensions of a cube

with the same volume?

51) Determine the cube root of 3375 in a variety of ways. This could include the use of prime

factorization, the use of benchmarks and/or the use of a calculator.

52) A cube has a volume of 2744 cm3. What is the diagonal distance through the cube from one

corner to the opposite corner?

53) The lowest whole number which is both a perfect square and a perfect cube is 1. Which is

the next lowest number which is both a perfect square and a perfect cube?

class 8 maths word problems

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