Basic Math Questions

1. 5 + 2
2. 12 + 5
3. 55 – 41
4. 8 x 2
5. 10 x 5
6. 5 x 10
7. An acute angle _____ 90 degrees.
8. A right angle _____ 90 degrees.
9. An obtuse angle _____ 90 degrees but _____ 180 degrees.
10. How many degrees are there in a square?
11. How many degrees in a rectangle?
12. How many degrees in a triangle?
13. 8 + x = 12 (solve for x)
14. 7x = 14 (solve for x)
15. (7 + 2) x 5
16. 7 + 2 x 5
17. 121 x 1
18. If a man has 5 trees that each contain 8 apples, what is the total number of apples that he has?
19. Jane had 152 cows. She sold 47 to Charles. How many cows does Jane have now?
20. If I have 80 lollies and I want to give 20 people an equal amount of lollies, how many lollies will each person receive?
21. If I have 50 candy canes and give 6 candy canes to 7 different people, how many candy canes will I have left?
22. Write 0.95 as a percentage.
23. Write 55% in decimal form.
24. In American Football 6 points is scored from touchdowns, 1 from extra points and 3 from field goals. If a team scores 4 touchdowns, 3 extra points and 2 field goals what is their total score?
25. In cricket, the ’strike rate’ is the number of runs a player hits in 100 balls. If a player hits 40 runs in 50 balls, what is his strike rate?
26. In Australian Rules Football (AFL) teams can score goals (worth 6 points) or behinds (worth 1 point). If a team scores 15 goals and 13 behinds, what is their total score?
27. An angle that is greater than 180 degrees, but less than 360 degrees, is called a…?

Answers:

1. 7
2. 17
3. 14
4. 16
5. 50
6. 50
7. is less than
8. is equal to
9. is greater than 90 but less than 180
10. 360
11. 360
12. 180
13. x=4
14. x=2
15. 45
16. 17
17. 121
18. 40 (5 x 8 OR 8 + 8 + 8 + 8 +
19. 105 (152 – 47)
20. 4 (80 divided by 20)
21. 8 (6 x 7 = 42 are given. So 50 – 42 = 8 are left)
22. 95%
23. 0.55
24. 33 (Touchdowns = 6 x 4 = 24. Extra Points = 3. Field Goals = 2 x 3 = 6. Total = 24 + 3 + 6)
25. 80 (40 in 50 balls = 80 in 100 balls)
26. 103 (Goals = 15 x 6 = 90. Behinds = 13. Total = 90 + 13)
27. Reflex angle

Please leave a comment and let me know how you went! Please tell me any other question I should add here!

Questions:

First Type: Solving Equations

Solve for x:

1. 4x = 8
2. 2x + 7 = 15
3. x + 6 = 6
4. 5 – (x + 2) = 10
5. 4x = 7 + 3x
6. 2x = 14 + 3x
7. 3x = 6 + 2x
8. 7x = 49
9. 2(x + 5)= 20
10. 10(2x + 7) = 90

Second Type: Addition and Subtraction (remember only like terms can be added and subtracted).

Simplify the Following:

1. 2x + 3y + 3x + 9y
2. 2x + 7xy + 12x
3. 3a + 3ab + 3ac + 3ad
4. 2a + 2b – 8b + 7ab + 5b
5. 3a + 4a + 5b
6. 3abcd + 3abc – 5abcd
7. 5 + 7a + 2 + 3a
8. a – a
9. x + 4 – 5x + 1
10. y + 2 + y

Third Type: Linear Equations

What is the slope and y-intercept of the following lines. Note, you do not have to draw them. Just get them in the form y = mx + c, where m = slope and c= y-intercept

1. y = 2x + 4
2. y = 5x -2
3. 2y = 8x -4
4. 3y = 6x – 7
5. 10y = 170x + 650
6. x + 6 = y
7. y + 3 = x
8. 2y + 6x = 1
9. y = 5 – x
10. x – y = 3

Answers:

Type One:

1. 2
2. 4
3. 0
4. -7
5. 7
6. -14
7. 6
8. 7
9. 5
10. 1

Type Two:

1. 5x + 12y
2. 14x + 7xy- could be written as 7x(2 + y)
3. 3a + 3ab + 3ac + 3ad- cannot be simplified as there are no like terms unless you factorize it to 3a(1 + b + c + d)
4. 7a + 7ab – b
5. 7a + 5b
6. 3abc – 2abcd- could be factorized to abc(3 – 2d)
7. 7 + 10a
8. 0
9. 5 – 4x
10. 2y + 2- factorize to 2(y + 1)

Type Three:

1. slope = 2, y-intercept = 4
2. slope = 5, y-intercept = -2
3. slope = 4, y- intercept = -2
4. slope = 2, y-intercept = 7/3
5. slope = 17, y-intercept = 65
6. slope = 1, y-intercept = 6
7. slope = 1, y-intercept = -3
8. slope = -6, y-intercept = 1/2 (or 0.5)
9. slope = -1, y-intercept = 5
10. slope = 1, y-intercept = -3

Please leave a comment and tell me how you went or suggest some more algebra problems I could add!

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1. What is 75 x 54?
2. What is 12 x 19?
3. What is 2/4 + 3/4?
4. What is 1/2 + 3/4?
5. What are the first four prime numbers?
6. Is 25 a prime number?
7. What is the square root of 16?
8. What is 546 + 328?
9. What is 476 – 358?
10. How many degrees in a triangle?
11. What is 5.67 + 2.89?
12. Round 5.66 to one decimal place.
13. Write 0.45 as a percentage.
14. What is 15 divided by 4?
15. Find x if x+4=8.
16. What is 6.5 – 4.8?
17. What is the only prime number that is an even number?
18. What is (5+4) x 10?
19. What is 5+4×10?
20. How many degrees in a square?

Answers:

1. 4050
2. 228
3. 5/4 or 1 1/4 (1 and a quarter)
4. 5/4 or 1 1/4
5. 2, 3, 5, 7 and 11.
6. No. 25 can be divided by 5.
7. 4
8. 874
9. 118
10. 180
11. 8.56
12. 5.7
13. 45%
14. 4 r 3 (4 remainder 3)
15. x=4
16. 1.7
17. 2
18. 90
19. 45 (must do the multiplication before the addition)
20. 360

Hope you got all the questions right! If you have any other questions (or want to test me) then leave a comment!

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