Math Essentials: 40 flashcards

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1. What is the value of $7 + 5 \times 2$?

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$17$

2. What is the value of $(7 + 5) \times 2$?

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$24$

3. What is the value of $3^2 + 4^2$?

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$25$

4. What is the value of $\sqrt{81}$?

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$9$

5. What is the value of $|-7|$?

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$7$

6. What is the value of $2^3 \times 2^2$?

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$2^5 = 32$

7. What is the value of $\frac{2}{3} + \frac{1}{4}$?

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$\frac{11}{12}$

8. What is the value of $\frac{3}{5} \times \frac{10}{9}$?

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$\frac{2}{3}$

9. What is the value of $\frac{3}{4} \div \frac{2}{5}$?

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$\frac{15}{8}$

10. Convert $0.75$ to a fraction in simplest form.

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$\frac{3}{4}$

11. Convert $\frac{2}{5}$ to a decimal.

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$0.4$

12. Convert $0.6$ to a percentage.

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$60\%$

13. Convert $45\%$ to a decimal.

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$0.45$

14. What is $15\%$ of $200$?

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$30$

15. If a shirt costs $\$40$ and is on sale for $25\%$ off, what is the sale price?

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$\$30$

16. Solve for $x$: $2x + 5 = 13$.

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$x = 4$

17. Solve for $x$: $3(x - 2) = 9$.

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$x = 5$

18. Simplify: $2a + 3a - a$.

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$4a$

19. Expand: $2(x + 3)$.

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$2x + 6$

20. What is the slope of the line passing through $(1, 2)$ and $(3, 6)$?

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$2$

21. What is the area of a rectangle with length $8$ cm and width $5$ cm?

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$40$ cm$^2$

22. What is the perimeter of a square with side length $6$ cm?

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$24$ cm

23. What is the area of a triangle with base $10$ cm and height $6$ cm?

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$30$ cm$^2$

24. What is the circumference of a circle with radius $7$ cm? (Use $\pi \approx \frac{22}{7}$)

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$44$ cm

25. What is the area of a circle with radius $7$ cm? (Use $\pi \approx \frac{22}{7}$)

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$154$ cm$^2$

26. What is the Pythagorean theorem?

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$a^2 + b^2 = c^2$, where $c$ is the hypotenuse of a right triangle.

27. In a right triangle, if the legs are $3$ and $4$, what is the hypotenuse?

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$5$

28. What is the sum of the interior angles of a triangle?

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$180^\circ$

29. What is the mean of the numbers $2, 4, 6, 8, 10$?

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$6$

30. What is the median of the numbers $3, 7, 5, 9, 1$?

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$5$

31. What is the mode of the numbers $2, 3, 3, 5, 7$?

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$3$

32. What is the probability of rolling a $4$ on a fair six-sided die?

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$\frac{1}{6}$

33. What is the probability of rolling an even number on a fair six-sided die?

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$\frac{1}{2}$

34. What is the value of $5!$ (5 factorial)?

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$120$

35. What is the next prime number after $7$?

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$11$

36. What is the greatest common divisor (GCD) of $12$ and $18$?

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$6$

37. What is the least common multiple (LCM) of $4$ and $6$?

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$12$

38. Solve for $x$: $\frac{x}{3} = 7$.

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$x = 21$

39. What is the value of $\frac{1}{2} + \frac{1}{3}$?

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$\frac{5}{6}$

40. What is the value of $0.25 \times 4$?

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$1$

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