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Mathematics Revision Test Pack Grade 6 Revision Practice Compare/Vergelyk <,>,=, Calculate/Bereken, Find the rule/Vind die reël: 4,10,16,...

Mathematics

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32 steps

1. Compare/Vergelyk <, >, =

  • 1.1)
  1. Compare the numbers 548,72 and 548,27.

  2. The whole number part is the same (548).

    Compare the decimal parts: 72 is greater than 27. 548,72>548,27 548,72 > 548,27 The symbol is >\boxed{>}.

    • 1.2)
  3. Compare the fractions 28\frac{2}{8} and 2732\frac{27}{32}.

  4. Simplify 28\frac{2}{8} to 14\frac{1}{4}.

    Convert 14\frac{1}{4} to a fraction with a denominator of 32: 1×84×8=832\frac{1 \times 8}{4 \times 8} = \frac{8}{32}.

  5. Compare 832\frac{8}{32} and 2732\frac{27}{32}.

    Since 8<278 < 27, then 832<2732\frac{8}{32} < \frac{27}{32}. 28<2732 \frac{2}{8} < \frac{27}{32} The symbol is <\boxed{<}.

    • 1.3)
  6. Compare the numbers 905,14 and 905,41.

  7. The whole number part is the same (905).

    Compare the decimal parts: 14 is less than 41. 905,14<905,41 905,14 < 905,41 The symbol is <\boxed{<}.

    • 1.4)
  8. Compare the fractions 34\frac{3}{4} and 68\frac{6}{8}.

  9. Simplify 68\frac{6}{8} by dividing the numerator and denominator by 2

    6÷28÷2=34\frac{6 \div 2}{8 \div 2} = \frac{3}{4}.

  10. Both fractions are equal to 34\frac{3}{4}.

    $$
    \frac{3}{4} = \frac{6}{8}
    $$
    The symbol is $\boxed{=}$.
    

    2. Calculate/Bereken

    • 2.1) 84 926−37 45884\,926 - 37\,458
  11. Subtract the numbers.

    $$
    84\,926 - 37\,458 = \boxed{47\,468}
    $$
    
    • 2.2) 56 784+29 65356\,784 + 29\,653
  12. Add the numbers.

    $$
    56\,784 + 29\,653 = \boxed{86\,437}
    $$
    
    • 2.3) 8 742×388\,742 \times 38
  13. Multiply the numbers.

    $$
    8\,742 \times 38 = \boxed{332\,196}
    $$
    
    • 2.4) 8 736÷248\,736 \div 24
  14. Divide the numbers.

    $$
    8\,736 \div 24 = \boxed{364}
    $$
    
    • 2.5) 538+2185\frac{3}{8} + 2\frac{1}{8}
  15. Add the whole numbers and the fractions separately.

    $$
    5 + 2 = 7
    $$
    $$
    \frac{3}{8} + \frac{1}{8} = \frac{3+1}{8} = \frac{4}{8}
    $$
    
  16. Simplify the fraction 48\frac{4}{8} to 12\frac{1}{2}.

  17. Combine the whole number and the simplified fraction.

    $$
    7 + \frac{1}{2} = \boxed{7\frac{1}{2}}
    $$
    
    • 2.6) 756−2167\frac{5}{6} - 2\frac{1}{6}
  18. Subtract the whole numbers and the fractions separately.

    $$
    7 - 2 = 5
    $$
    $$
    \frac{5}{6} - \frac{1}{6} = \frac{5-1}{6} = \frac{4}{6}
    $$
    
  19. Simplify the fraction 46\frac{4}{6} to 23\frac{2}{3}.

  20. Combine the whole number and the simplified fraction.

    $$
    5 + \frac{2}{3} = \boxed{5\frac{2}{3}}
    $$
    
    • 2.7) 14+5−12\frac{1}{4} + 5 - \frac{1}{2}
  21. Find a common denominator for the fractions, which is 4.

    Convert 12\frac{1}{2} to 24\frac{2}{4}. 14+5−24 \frac{1}{4} + 5 - \frac{2}{4}

  22. Combine the fractions.

    $$
    5 + \frac{1}{4} - \frac{2}{4} = 5 - \frac{1}{4}
    $$
    
  23. Subtract the fraction from the whole number.

    $$
    5 - \frac{1}{4} = \boxed{4\frac{3}{4}}
    $$
    
    • 3.1) 310,45+245,02310,45 + 245,02
  24. Add the decimal numbers.

    $$
    310,45 + 245,02 = \boxed{555,47}
    $$
    
    • 3.2) 756,90−428,37756,90 - 428,37
  25. Subtract the decimal numbers.

    $$
    756,90 - 428,37 = \boxed{328,53}
    $$
    

    4. Find the rule/Vind die reël: 4,10,16...4, 10, 16...

  26. Find the difference between consecutive terms.

    10−4=610 - 4 = 6 16−10=616 - 10 = 6
  27. The difference is constant.

    The rule is: Add 6 to the previous number\boxed{\text{Add } 6 \text{ to the previous number}}.

    5. Fractions of a number

    • 5.1) 14\frac{1}{4} of 3 2163\,216 / 14\frac{1}{4} van 3 2163\,216
  28. Multiply 3 2163\,216 by 14\frac{1}{4}, which is the same as dividing 3 2163\,216 by 4.

    $$
    \frac{1}{4} \times 3\,216 = \frac{3\,216}{4}
    $$
    
  29. Perform the division.

    $$
    \frac{3\,216}{4} = \boxed{804}
    $$
    
    • 5.2) 35\frac{3}{5} of 2 1452\,145 / 35\frac{3}{5} van 2 1452\,145
  30. Multiply 2 1452\,145 by 35\frac{3}{5}.

    This can be done by dividing 2 1452\,145 by 5 and then multiplying by 3. 35×2 145=(2 145÷5)×3 \frac{3}{5} \times 2\,145 = (2\,145 \div 5) \times 3

  31. Divide 2 1452\,145 by 5.

    $$
    2\,145 \div 5 = 429
    $$
    
  32. Multiply the result by 3.

    $$
    429 \times 3 = \boxed{1\,287}
    $$
    
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