Free Printable Basic Mathematics & Geometry

Worksheets

Basic Mathematics & Geometry

Total questions: 68

Worksheet time: 2hrs 38mins

Name

Class

Date

WRITE AN EQUATION
Aliyah had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among her children. Each child received two pieces. With how many pieces did she start?

(x-10)/4=2

x-10/4=2

x-10=2(4)

2(x-10)=4

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

7x + 35 = 63

7x = 63

7x - 35 = 63

35x + 7 = 63

Maria has 25 dollars. She has to buy a gallon of milk which costs $3.50. She wants to spend the rest of her money on cereal. If each box of cereal costs $4.50, how many can she purchase?

4 boxes

5 boxes

6 boxes

7 boxes

472 students are going on a field trip. 120 students will be returning home and the rest will be spending the night in cabins. If a cabin sleeps 8 people, how many cabins need to be rented?

4 cabins

44 cabins

59 cabins

74 cabins

Find four consecutive integers such that 8 times the sum of the first and the third is 40 greater than 10 times the fourth.

(a)

Ming has $4.45 in quarters and dimes. She has 8 more quarters than dimes. How many dimes does she have?

(a)

The length of a rectangle is 5 less than twice its width. The perimeter is 26 meters. Find the dimensions of the rectangle.

5 m by 8 m

3 m by 10 m

4 m by 9 m

6 m by 7 m

(a)

One side of an equilateral triangle exceeds one side of a square by 8 inches. The perimeter of the triangle exceeds the perimeter of the square by 20 inches. Find the length of one side of the triangle.

(a)

10.

A triangle’s angle measures are in the extended ratio of 3 : 4 : 11. Find the measures of the angles.

30^o, 40^o, 90^o

30^o, 40^o, 110^o

10^o, 30^o, 140^o

40^o, 40^o, 100^o

11.

x = 1/24

x = 29

x = 28

x = 3/2

12.

Tommy has a bag of LEGOS. There are 6 yellow, 3 red, and 8 blue LEGOS. What is the ratio in simplest form of red to yellow LEGOS?

1/2

6/3

2/1

3/6

13.

In my fish tank, the ratio of red fish to blue fish is 3:5. There are 20 blue fish. How many red fish are there?

14.

Enter the missing numbers to create equivalent ratios.
1 : 3
6 : 18
2 : _
4 : _

4 & 8

4 & 12

6 & 12

6 & 8

15.

The cookie jar has six chocolate chip cookies and five oatmeal cookies. What is the ratio of oatmeal to chocolate chip cookies?

6:5

5:6

6:11

16.

What is the ratio of shaded squares to not shaded squares?

10:5

10:6

6:10

10:18

17.

Scott had to run for 18 minutes, ride his bike for 20 minutes, and lifted weights for 15 minutes. What is the ratio of the time he rode his bike to the total amount of time he exercised?

18:20

20:33

53:20

20:53

18.

What is the unite rate of 680 calories in 6 muffins?

674

113.3

4,080

156.2

19.

What is the cost of 1 gallon of gas if you pay $31.20 for 15 gallons of gas? Hint: What is the unit rate?

$1.95

$0.15

$2.08

$10.00

20.

If you want to find the best deal, which store should you buy juice boxes from?

Shoprite: 4 juice boxes for $5.56

Hannaford: 6 juice boxes for $8.10

21.

Does this table represent a proportional relationship? Write yes or no. If the answer is yes, what is the rate?

4 lines

22.

Paige was measuring how much taller she got over two years. In the first year she grew 4.62 cm. In the second year she grew 7.7 cm. How much taller did she get altogether?

12.3 cm

3.8 years

12.32 cm

12.32 years

23.

A weatherman was measuring the amount of rain two cities received over a week. City A received 3.74 inches while City B received 9.8 inches. How much rain did they get total?

13.54 inches

6.06 inches

7 days

13.54 rains

24.

Riley has started a babysitting business. She charges $3.85 per hour. If she works 8 hours a week, how many dollars does she earn for the week?

$30.80

$3.08

$308.80

$40.80

25.

Ms. Sargable can run a mile in 8.16 minutes. How long will it take her to run Panther Run Park, a 3.25 mile loop?

265.2 miles

244.8 miles

24.48 miles

26.52 miles

26.

A group of four friends are going to see a movie. If one ticket costs $8.50, how much does it cost for everyone?

$34.50

$44.00

$34.00

$44.50

27.

The Bulldogs won twice as many games as they lost. If they played a total of 36 games, how many did they win?

3 games won

6 games won

12 games won

24 games won

28.

If the city of Amarillo has a population of 190,695 and I round to the nearest thousands place. What is the correct answer?

191,695

191,000

21,000

32,695

29.

If you want to cut 24 two-foot braces, how many boards of length shown would you need? (Note: Use the image of the last board shown - 12 feet wide).

30.

How much would a computer system cost if it is priced as shown? "Pay $200.00 down and make 12 monthly payments of only 98.85."

$ 3586.20

$ 2400.00

$ 1386.20

$1186.20

31.

A developer plans to build homes on 20 1/2 acres. She estimates that 6 1/4 acres will be used for roads. The remaining land will be divided into 1/4 acres lots. How many lots can the subdivision include?

107

32.

What is the cost of 0.87 pound of cheese at $5.79 a pound?

$4.05

$4.34

$4.64

$5.04

33.

Joan makes $19.60 an hour for overtime work. One week her paycheck included $68.50 for overtime. How many hours overtime did she work for that week?

2.5

3.5

34.

Angel hair pasta at Hometown Foods normally costs $2.29. This week, it is on sale for $2.05. Lorenzo bought 5 boxes on sale. How much money did he save?

$0.24

$1.20

$1.24

$7.96

35.

A log is 8 feet long. Bill cuts off a piece that is $4\frac{3}{4}$ feet long. What is the length of the remaining piece?

$4\frac{1}{4}$

$4\frac{3}{4}$

$3\frac{1}{4}$

$3\frac{3}{4}$

36.

A pie recipe calls for $\frac{2}{3}$ cup of sugar. How many cups of sugar are needed to make 5 pies?

$1\frac{2}{3}$

$2\frac{2}{3}$

$3\frac{1}{3}$

$3\frac{2}{3}$

37.

Sylvia scored 10 points better than Wiley on their science exam. Greg scored 6 points less than Wiley. Altogether the students earned 226 points. How many did Sylvia earn?

38.

A box of cereal cost $4.69. The package label says that the box contains 19 servings. What is the cost of 1 serving to the nearest cent?

$0.02

$0.25

$0.47

$2.46

39.

Convert 56,000,000,000 from standard to scientific notation form.

5.6 x 10⁹

56 x 10^-9

56 x 10⁹

5.6 x 10¹⁰

40.

Express the following in scientific notation:
0.0000002203

.02203 x 10⁷

22.03 x 10^-6

2.203 x 10^-7

22.03 x 106

41.

List the fractions from least to greatest: 2/3, 7/11, 15/22

2/3, 7/11, 15/22

2/3, 15/22, 7/11

15/22, 2/3, 7/11

7/11, 2/3, 15/22

42.

Fractions and decimals in order

Between which pair of decimals should 19/50 be placed on a number line?

0.3 and 0.4

0.4 and 0.5

0.5 and 0.6

0.6 and 0.7

43.

Multiples and factors

Question:

Bill and Sue are running in a foot race. Bill can run around the track in 4 minutes. Sue can run around the track in 6 minutes. Bill and Sue started running at the same time. How many minutes will it be until they complete a lap at the same time.

44.

The ratio of students to instructors at a prestigious law school is 15:4. If the school employs 120 instructors, then how many students total must it limit itself to enrolling in order to maintain this student-instructor ratio?

630

720

540

450

45.

You are in charge of ordering office supplies and need new ball-point pens. You need to order 600 pens, which come in boxes of one dozen each.

How many boxes should you order?

100

600

46.

Kevin wants to buy a laptop, the original price of the laptop is $800. The store offers an 10% discount for students. How much would be the new price of the laptop?

$790

$720

$80

$880

47.

Sixto ordered 3 pizzas, each pizza costs $6 before tax. How much would Sixto pay after adding the tax? tax rate is 8.25%

$19.49

$18.25

$19.79

$18.91

48.

Lottie saw some jeans she liked for £50, today there is 25% off, Lottie saved

(a)

49.

Eliza bought a meal that cost $ 12.00. She tipped the waiter 25% of that amount. How much was the tip?

$ 15.00

$ 12.25

$3.00

$4.00

50.

Alexia is buying a Nissan Versa and takes out a 4-year simple interest car loan for $15000 at a 3% interest rate. What is the principal?

4 years

$15000

Nissan Versa

51.

Keylaan takes out a $30000 loan for her new Ford Mustang. She will pay back the entire loan at the end of 8 years. It is a simple interest loan with an interest rate of 7.25%. How much will she have to pay at the end of 8 years?

(a)

52.

Rachel invested $2,700 in a savings account earning 7% simple interest. If she invests for 2 years, how much money will she have in total?

$3,078

$378

$40,500

$4536

53.

If three cubes of side a are joined end to end, the Total Surface Area of the resulting cuboid is _________________

18a²

14a²

16a²

8a²

54.

A spherical ball of diameter 21 cm is melted and cast into cubes each of side 1 cm. The number of cubes are _____ ( Take π = 22/7)

4800

4823

4850

4851

55.

A bucket is in the shape of a frustum of a cone. If it is 45cm high and the radii of the two circular ends are 28 cm and 7 cm, find the capacity of the bucket in liters. Refer to answer explanation

( Take π = 22/7)

39.27 litres

48.51 litres

46.2 litres

47.51 litres

56.

A metal container made of tin sheets is in the form of a hollow cylinder mounted on a hollow hemisphere. If the diameter of the container is 8 cm and the total height of the container is 14 cm , find the total area of the tin sheets needed to make one such container.( Take π = 22/7)

251 cm²

325 cm²

352 cm²

100 cm²

57.

A cylindrical vessel of radius 36 cm and height 10.5 cm contains a liquid. The liquid has to be filled in cylindrical bottles of radius 3cm and height 6 cm. How many bottles can be completely filled from the liquid in the vessel? ( Take π = 3.14 )

225

252

126

58.

A Spherical tank full of water is emptied by a pipe at the rate of 12 litres/sec. How many hours will it take to empty half the tank if it is 18 m in diameter. ( Take π = 22/7)

35 hours

127 hours

212 hours

70 hours

59.

A canal is 3m wide and 120cm deep. The water in the canal is flowing with a speed of 10 km/hr. How much area in hectares will it irrigate in 30 minutes if 6 cm of standing water is required for irrigation.

300 hectares

60 hectares

30 hectares

3000 hectares

60.

In a cylindrical container, base radius is 12 cm and height of the water level is 35 cm. Find the volume of water in the container.

15.84 litre

1.584 cm³

158.4 cm³

None of the given

61.

The volume of a vessel in the form of a right circular cylinder is 864𝜋 cm³ and its height is 6 cm. Find the radius of its base.

12 cm

9 cm

15 cm

14 cm

62.

The radius of the base and the height of a right circular cone is 8 cm and 15 cm respectively. Find the volume and total surface area of the cone. (Take 𝜋 = 22/7)

Volume = 1120 cm³ Surface area = 750.67 cm²

Volume = 1005.71 cm³ Surface area = 628.57 cm²

Volume = 1678.90 cm³ Surface area = 879. 90 cm²

Volume = 2345.70 cm³ Surface area = 779. 90 cm²

63.

Diya has a vessel in the form of a hemispherical bowl mounted by a hollow cylinder. The diameter of the sphere is 7 cm and the total height of the vessel is 10 cm. Find the capacity of the vessel. (Take 𝜋 = 22/7)

430.08 cm³

250.25 cm³

89. 83 cm³

340.08 cm³

64.

Find the height of a cylinder which has a radius of 21 cm and a surface area of 5808 cm².(Take 𝜋 = 22/7)

25cm

23 cm

26 cm

19 cm

65.

A cylindrical radius is doubled and height is halved, the curved surface area of cylinder will _______.

Increase

Decrease

Remain same

66.

If the curved surface area and slant height of cone is 924 cm³ and 21cm respectively. Which of the following statement is true?

Radius of the cone is 10 cm

Total surface area of cone is 1540 cm³

Total surface area of cone is 2343 cm³

None of the above

67.

Gaurav made a truck by using different dimensions of the cardboard boxes as shown in the figure. It shows a combination of two cuboids of the same size and a cube. Calculate the volume of the solid in cm³.

875 cm³

500 cm³

975 cm³

675 cm³

68.