中学1年生定期テスト予想問題計算応用編

定期テスト予想問題
1. \( -3 + \frac{5}{4} \times 2 \)
2. \( \frac{-7}{3} + \frac{4}{5} \times \frac{3}{2} \)
3. \( 0.75 \div (-0.5) + 1.25 \)
4. \( (-2)^3 + 4 \times 0.5 \)
5. \( \frac{5}{6} – \frac{3}{8} + (-0.25) \)
6. \( -4 + \frac{3}{5} \times (-2.5) \)
7. \( 1.5 \times (-0.8) + \frac{1}{4} \)
8. \( \frac{-7}{3} – \frac{5}{6} + 1.2 \)
9. \( (-3.5)^2 – 4 \)
10. \( \frac{2}{3} \div (-0.5) + \frac{5}{4} \)
11. \( (-2.2) \times 3.5 – 4.8 \)
12. \( \frac{-5}{9} + 0.75 \times (-2) \)
13. \( 2^3 – (-3)^2 \)
14. \( \frac{-4}{5} + \frac{3}{10} \times (-2) \)
15. \( (-1.5)^3 + 0.4 \)
16. \( \frac{8}{5} – \frac{3}{4} + 1.1 \)
17. \( 0.6 \div (-0.3) + 2.7 \times (-0.5) \)
18. \( \frac{3}{4} \times (-4) + 0.25 \)
19. \( (-1.2)^2 – 2.3 \)
20. \( \frac{7}{8} + \frac{-5}{6} – 0.5 \)
21. \( (-0.8) \times 4 + 1.6 \)
22. \( 2^4 – (-2)^3 \)
23. \( \frac{-9}{2} + 1.5 \times 2.2 \)
24. \( 0.5 \div (-0.25) + (-1.75) \)
25. \( (-3.1) \times 2 + 4.3 \)
26. \( \frac{-7}{4} + 0.6 \times (-1.2) \)
27. \( 3^2 + (-2)^3 – 1 \)
28. \( \frac{4}{9} \times (-3) + 1.25 \)
29. \( (-2.5)^2 – 3.75 \)
30. \( \frac{-8}{3} + \frac{5}{6} – 1.5 \)
31. \( (-0.9) \times 2.5 + 1.2 \)
32. \( 2^3 – 0.5 \times (-4) \)
33. \( \frac{-5}{3} + 2.5 \times (-0.4) \)
34. \( 1.25 \div (-0.5) + 3.75 \)
35. \( (-2.7) \times 3 – 4.1 \)
36. \( \frac{7}{9} – \frac{4}{5} \times 1.5 \)
37. \( 0.8 \div (-0.2) + 2.3 \times (-1.5) \)
38. \( (-3.3) \times 1.5 + 2.4 \)
39. \( \frac{6}{7} + \frac{-8}{3} – 0.9 \)
40. \( 2^5 + (-3)^2 \)

方針

1. \( -3 + \frac{5}{4} \times 2 = -3 + \frac{10}{4} = -3 + \frac{5}{2} = -3 + 2.5 = -0.5 \)
2. \( \frac{-7}{3} + \frac{4}{5} \times \frac{3}{2} = \frac{-7}{3} + \frac{12}{10} = \frac{-7}{3} + \frac{6}{5} = \frac{-35}{15} + \frac{18}{15} = \frac{-17}{15} \)
3. \( 0.75 \div (-0.5) + 1.25 = -1.5 + 1.25 = -0.25 \)
4. \( (-2)^3 + 4 \times 0.5 = -8 + 2 = -6 \)
5. \( \frac{5}{6} – \frac{3}{8} + (-0.25) = \frac{5}{6} – \frac{3}{8} – \frac{1}{4} = \frac{20}{24} – \frac{9}{24} – \frac{6}{24} = \frac{5}{24} \)
6. \( -4 + \frac{3}{5} \times (-2.5) = -4 – 1.5 = -5.5 \)
7. \( 1.5 \times (-0.8) + \frac{1}{4} = -1.2 + 0.25 = -0.95 \)
8. \( \frac{-7}{3} – \frac{5}{6} + 1.2 = \frac{-14}{6} – \frac{5}{6} + \frac{6}{5} = \frac{-14}{6} – \frac{5}{6} + \frac{36}{30} = \frac{-19}{15} = -1.1333 \)
9. \( (-3.5)^2 – 4 = 12.25 – 4 = 8.25 \)
10. \( \frac{2}{3} \div (-0.5) + \frac{5}{4} = \frac{2}{3} \times (-2) + \frac{5}{4} = \frac{-4}{3} + \frac{5}{4} = \frac{-16}{12} + \frac{15}{12} = \frac{-1}{12} \)
11. \( (-2.2) \times 3.5 – 4.8 = -7.7 – 4.8 = -12.5 \)
12. \( \frac{-5}{9} + 0.75 \times (-2) = \frac{-5}{9} + \frac{-15}{9} = \frac{-20}{9} \)
13. \( 2^3 – (-3)^2 = 8 – 9 = -1 \)
14. \( \frac{-4}{5} + \frac{3}{10} \times (-2) = \frac{-4}{5} – \frac{6}{10} = \frac{-8}{10} – \frac{6}{10} = \frac{-14}{10} = \frac{-7}{5} \)
15. \( (-1.5)^3 + 0.4 = -3.375 + 0.4 = -2.975 \)
16. \( \frac{8}{5} – \frac{3}{4} + 1.1 = \frac{32}{20} – \frac{15}{20} + \frac{22}{20} = \frac{39}{20} \)
17. \( 0.6 \div (-0.3) + 2.7 \times (-0.5) = -2.0 – 1.35 = -3.35 \)
18. \( \frac{3}{4} \times (-4) + 0.25 = \frac{-12}{4} + 0.25 = -3 + 0.25 = -2.75 \)
19. \( (-1.2)^2 – 2.3 = 1.44 – 2.3 = -0.86 \)
20. \( \frac{7}{8} + \frac{-5}{6} – 0.5 = \frac{21}{24} – \frac{20}{24} – \frac{12}{24} = \frac{21 – 20 – 12}{24} = \frac{-11}{24} \)
21. \( (-0.8) \times 4 + 1.6 = -3.2 + 1.6 = -1.6 \)
22. \( 2^4 – (-2)^3 = 16 + 8 = 24 \)
23. \( \frac{-9}{2} + 1.5 \times 2.2 = \frac{-9}{2} + 3.3 = \frac{-9}{2} + \frac{6.6}{2} = \frac{-9 + 6.6}{2} = \frac{-2.4}{2} = -1.2 \)

24. \( 0.5 \div (-0.25) + (-1.75) = -2 – 1.75 = -3.75 \)

25. \( (-3.1) \times 2 + 4.3 = -6.2 + 4.3 = -1.9 \)

26. \( \frac{-7}{4} + 0.6 \times (-1.2) = \frac{-7}{4} + (-0.72) = \frac{-7}{4} – \frac{18}{25} = \frac{-175}{100} – \frac{72}{100} = \frac{-247}{100} = -2.47 \)

27. \( 3^2 + (-2)^3 – 1 = 9 – 8 – 1 = 0 \)

28. \( \frac{4}{9} \times (-3) + 1.25 = \frac{-12}{9} + 1.25 = \frac{-4}{3} + 1.25 = \frac{-4}{3} + \frac{5}{4} = \frac{-16}{12} + \frac{15}{12} = \frac{-1}{12} \)

29. \( (-2.5)^2 – 3.75 = 6.25 – 3.75 = 2.5 \)

30. \( \frac{-8}{3} + \frac{5}{6} – 1.5 = \frac{-16}{6} + \frac{5}{6} – \frac{9}{6} = \frac{-16 + 5 – 9}{6} = \frac{-20}{6} = \frac{-10}{3} \)

31. \( (-0.9) \times 2.5 + 1.2 = -2.25 + 1.2 = -1.05 \)

32. \( 2^3 – 0.5 \times (-4) = 8 + 2 = 10 \)

33. \( \frac{-5}{3} + 2.5 \times (-0.4) = \frac{-5}{3} – 1 = \frac{-5}{3} – \frac{3}{3} = \frac{-8}{3} \)

34. \( 1.25 \div (-0.5) + 3.75 = -2.5 + 3.75 = 1.25 \)

35. \( (-2.7) \times 3 – 4.1 = -8.1 – 4.1 = -12.2 \)

36. \( \frac{7}{9} – \frac{4}{5} \times 1.5 = \frac{7}{9} – \frac{6}{5} = \frac{35}{45} – \frac{54}{45} = \frac{-19}{45} \)

37. \( 0.8 \div (-0.2) + 2.3 \times (-1.5) = -4 – 3.45 = -7.45 \)

38. \( (-3.3) \times 1.5 + 2.4 = -4.95 + 2.4 = -2.55 \)

39. \( \frac{6}{7} + \frac{-8}{3} – 0.9 = \frac{6}{7} – \frac{8}{3} – 0.9 = \frac{18}{21} – \frac{56}{21} – \frac{18.9}{21} = \frac{-56 + 18 – 18.9}{21} = \frac{-56.9}{21}\)
40. \( 2^5 + (-3)^2 = 32 + 9 = 41 \)