Basic mathematics test

Name _____________________                                        Date:_____________________

Solve the following problems


1. Write this number in words

157802 ______________________________________________

2. Round 36,993 to the nearest thousands____________________________

3. Round 6.724 to the nearest hundredth____________________________

4. 324 times 87______________________________

5. 81.32 times 0.3214

6. Divide 89 into 4356_________________________________

7. Find the greatest common factor of 24 and 76_______________________

8. Find the least common factor of 12 and and 36_______________________

9. Circle the numbers that are prime.

      2       5       8       13       17       18       21       93       117

10. Tell if the fraction on the left is less or greater than the fraction on the right. Use < or >

11. Add the following fractions:

12. Tell if the decimal on the left is less or greater than the decimal on the right. Use < or >

5.43123        5.43013

13. What is the perimeter and area of a rectangle with sides equal to 5 inches and 7 inches?

Perimeter = __________________ inches       area=____________________

14. 35% of 40 is ____________

15. What percent of 80 is 100? _____________________

16. Rename 2/5 as a percent_______________________

17. Describe in your own words what it means for 2 lines to be parallel. Show a drawing.

18. Solve for n: 6n + 12 = 6

19. What is the volume of the following figure?____________________

20. What is the elapsed time between 5:45 AM and 4:10 PM?

21. Measure the following angles with a protractor__________     __________

22. What is the perimeter and area of a circle with diameter equal to 5 cm?

Perimeter = __________________       area=____________________

23. 25 cm = __________mm        1250 g = ___________kg        25 mL = _______________L

24. Convert the difference of 25 min. 14 sec and 4 min. 30 sec in seconds__________________

25. A scale of 1:20 is used to make the drawing of a car. If the length of the drawing is 10 inches, what is the real length of the car?

Real length__________________

26. Write these numbers in scientific notation

2300000000__________________              0.00024___________________

27. 12 feet = ____________ yards            2 gallons = _____________ pints

28. -2 + -6 =________            -4 + 3 = _________            5 − - 2 = _________

29. -2 × 4 =__________           -6 ÷ - 2=____________

30. What is the absolute value of -3?

Basic mathematics test

Basic math formulas

Find here a comprehensive list of basic math formulas commonly used when doing basic math computation

Average formula:

Let a₁,a₂,a₃,......,a_n be a set of numbers, average = (a₁ + a₂ + a₃,+......+ a_n)/n

Fractions formulas:

Converting an improper fraction to a mixed number:

Formula for a proportion:

In a proportion, the product of the extremes (ad) equal the product of the means(bc),

Thus, ad = bc

Percent:

Percent to fraction: x% = x/100

Percentage formula: Rate/100 = Percentage/base

Rate: The percent.
Base: The amount you are taking the percent of.
Percentage: The answer obtained by multiplying the base by the rate

Consumer math formulas:

Discount = list price × discount rate

Sale price = list price − discount

Discount rate = discount ÷ list price

Sales tax = price of item × tax rate

Interest = principal × rate of interest × time

Tips = cost of meals × tip rate

Commission = cost of service × commission rate

Geometry formulas:

Perimeter:

Perimeter of a square: s + s + s + s
s:length of one side

Perimeter of a rectangle: l + w + l + w
l: length
w: width

Perimeter of a triangle: a + b + c
a, b, and c: lengths of the 3 sides

Area:

Area of a square: s × s
s: length of one side

Area of a rectangle: l × w
l: length
w: width

Area of a triangle: (b × h)/2
b: length of base
h: length of height

Area of a trapezoid: (b₁ + b₂) × h/2
b₁ and b₂: parallel sides or the bases
h: length of height

volume:

Volume of a cube: s × s × s
s: length of one side

Volume of a box: l × w × h
l: length
w: width
h: height

Volume of a sphere: (4/3) × pi × r³
pi: 3.14
r: radius of sphere

Volume of a triangular prism: area of triangle × Height = (1/2 base × height) × Height
base: length of the base of the triangle
height: height of the triangle
Height: height of the triangular prism

Volume of a cylinder:pi × r² × Height
pi: 3.14
r: radius of the circle of the base
Height: height of the cylinder

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Basic math formulas