Four Operations Fluency - ISEE Middle Level Mathematics Achievement

1. What is the value of $-6 \times 7$?

   $-42$. Multiplying a negative by a positive yields a negative product.

2. What is the value of $\left(-3\right)^2 - 4 \times 2$?

   $1$. Order of operations: exponent first to get 9, then multiply, then subtract.

3. What is the value of $\frac{7}{9}$ of $63$?

   $49$. Multiply the fraction by the number, simplifying by dividing 63 by 9 first.

4. What is the value of $\frac{3}{4} + \frac{1}{8}$?

   $\frac{7}{8}$. To add fractions, convert to a common denominator of 8 and sum the numerators.

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

   $\frac{2}{3}$. Dividing fractions means multiplying by the reciprocal, then simplifying by dividing by 3.

6. What is the value of $\frac{11}{12} - \frac{5}{8}$?

   $\frac{7}{24}$. Subtract fractions using a common denominator of 24 and subtracting numerators.

7. What is the value of $-56 \div 8$?

   $-7$. Dividing a negative by a positive yields a negative quotient.

8. What is the value of $-7 + 12$?

   $5$. Adding a positive number to a negative number results in subtracting the absolute value of the negative from the positive.

9. What is the value of $-18 - (-5)$?

   $-13$. Subtracting a negative is equivalent to adding its positive counterpart, so $-18 + 5 = -13$.

10. What is the value of $( -4 + 9 ) \times 2$?

    $10$. Parentheses are evaluated first, then multiplication.

11. What is the value of $5.2 - 7.85$?

    $-2.65$. Subtracting a larger decimal from a smaller one results in a negative value.

12. What is the value of $\frac{5}{6} - \frac{1}{3}$?

    $\frac{1}{2}$. Subtract fractions by converting to a common denominator of 6 and subtracting numerators, then simplify.

13. What is the value of $0.7 \times 0.08$?

    $0.056$. Multiply decimals by ignoring decimals initially, then placing the point based on total decimal places.

14. What is the value of $\frac{2}{5} + \frac{3}{10}$?

    $\frac{7}{10}$. Add fractions with a common denominator of 10 by summing numerators.

15. What is the value of $\frac{3}{5}$ of $40$?

    $24$. 'Of' indicates multiplication of the fraction by the whole number.

16. What is the value of $4.2 \div 0.7$?

    $6$. Dividing decimals is equivalent to $42 \div 7 = 6$ after adjusting for the decimal.

17. What is the value of $120\%$ of $50$?

    $60$. Percent greater than 100 means multiplying by a decimal larger than 1.

18. What is the value of $18 - 6 \div 3$?

    $16$. Order of operations requires division before subtraction.

19. What is the value of $48 \div 6 \times 3$?

    $24$. Follow order of operations: divide first, then multiply left to right.

20. What is the value of $\frac{7}{8} \div \frac{14}{3}$?

    $\frac{3}{16}$. Dividing fractions involves multiplying by the reciprocal, then simplifying by dividing by 7.

21. What is the value of $\left(\frac{3}{4} - \frac{1}{2}\right) \div \frac{1}{8}$?

    $2$. Evaluate parentheses first to get $\frac{1}{4}$, then divide by multiplying by the reciprocal.

22. What is the value of $3.6 + 0.45$?

    $4.05$. Add decimals by aligning the decimal points and summing the digits.

23. What is the value of $25\%$ of $80$?

    $20$. Percent of a number is found by converting percent to decimal and multiplying.

24. What is the value of $15 - 23$?

    $-8$. Subtracting a larger positive number from a smaller one yields a negative result.

25. What is the value of $\frac{2}{3} \times \frac{9}{10}$?

    $\frac{3}{5}$. Multiply fractions by multiplying numerators and denominators, then simplify by dividing by 6.

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