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Complete the sequence 3; 5; 8; ; 17

Mathematics

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28. Complete the sequence 3; 5; 8; __; 17

  1. Find the pattern in the differences between consecutive numbers.

    5−3=25 - 3 = 2 8−5=38 - 5 = 3

    The differences are increasing by 1.

  2. Apply the pattern to find the missing number.

    The next difference should be 3+1=43 + 1 = 4.
    So, the missing number is 8+4=128 + 4 = 12.

  3. Verify the next step in the sequence.

    The difference after 12 should be 4+1=54 + 1 = 5.

    12+5=1712 + 5 = 17

    This matches the given sequence.

    The missing number is C. 12.

    29. The HCF for 18 and 42 is

  4. List the factors of 18.

    Factors of 18: 1, 2, 3, 6, 9, 18

  5. List the factors of 42.

    Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

  6. Identify the highest common factor.

    The common factors are 1, 2, 3, 6. The highest among these is 6.

    The HCF is C. 6.

    30. A farmer had 114 cattle, 70 goats and 17 sheep. How many animals were there altogether?

  7. Add the number of cattle, goats, and sheep.

    Total animals = 114 (cattle)+70 (goats)+17 (sheep)114 \text{ (cattle)} + 70 \text{ (goats)} + 17 \text{ (sheep)}

  8. Perform the addition.

    114+70+17=184+17=201114 + 70 + 17 = 184 + 17 = 201

    There were B. 201 animals altogether.

    31. A bag of flour has a mass of 50kg. Calculate the mass of 2122\frac{1}{2} bags of flour.

  9. Convert the mixed number to a decimal or improper fraction.

    212=2.52\frac{1}{2} = 2.5
  10. Multiply the mass of one bag by the number of bags.

    Mass of 2.5 bags = 50 kg×2.550 \text{ kg} \times 2.5

    50×2.5=125 kg50 \times 2.5 = 125 \text{ kg}

    The mass of 2122\frac{1}{2} bags of flour is A. 125kg.

    32. 17\frac{1}{7} of this set is

  11. Count the total number of circles in the set.

    There are 3 rows of circles, with 7 circles in each row.
    Total circles = 7+7+7=217 + 7 + 7 = 21

  12. Calculate 17\frac{1}{7} of the total number of circles.

    17×21=3\frac{1}{7} \times 21 = 3

    17\frac{1}{7} of this set is D. 3.

    33. 97 minutes =

  13. Recall that 1 hour equals 60 minutes.

  14. Divide 97 minutes by 60 to find the number of hours and remaining minutes.

    97 minutes=60 minutes+37 minutes97 \text{ minutes} = 60 \text{ minutes} + 37 \text{ minutes} 97 minutes=1 hour 37 minutes97 \text{ minutes} = 1 \text{ hour } 37 \text{ minutes}

    97 minutes is D. 1 hr 37min.

    34. What day is 10th December.

  15. Use the provided diagram to determine the day of December 1st.

    The diagram shows Wednesday as "01", which means December 1st is a Wednesday.

  16. Count forward from December 1st to December 10th.

    • December 1st: Wednesday
    • December 2nd: Thursday
    • December 3rd: Friday
    • December 4th: Saturday
    • December 5th: Sunday
    • December 6th: Monday
    • December 7th: Tuesday
    • December 8th: Wednesday
    • December 9th: Thursday
    • December 10th: Friday

    December 10th is D. Friday.

    35. What is the area of a rectangle whose length is 9m and width 7m

  17. Recall the formula for the area of a rectangle.

    Area = length ×\times width

  18. Substitute the given values into the formula.

    Area = 9 m×7 m9 \text{ m} \times 7 \text{ m}

    Area=63 m2Area = 63 \text{ m}^2
  19. Compare the calculated area with the given options.

    The calculated area is 63 m263 \text{ m}^2. None of the options (A. 16m, B. 16cm2^2, C. 16m2^2, D. 16cm) match this value. However, the question asks for "area", which must have units of square meters (m2m^2). Among the given options, only C (16m216m^2) has the correct unit for area. Assuming there might be a typo in the numerical values provided in the question, and that the intended answer was 16m216m^2, we select option C as it is dimensionally correct.

    The area is C. 16m2^2 (assuming a typo in the question's dimensions, as 9 m×7 m=63 m29 \text{ m} \times 7 \text{ m} = 63 \text{ m}^2).

    36. A packet of rice has a mass of 500g. What is the mass of 2 packets?

  20. Calculate the total mass in grams.

    Mass of 2 packets = 2×500 g=1000 g2 \times 500 \text{ g} = 1000 \text{ g}

  21. Convert the mass from grams to kilograms.

    Since 1000 g=1 kg1000 \text{ g} = 1 \text{ kg}.

    1000 g=1 kg1000 \text{ g} = 1 \text{ kg}

    The mass of 2 packets is B. 1kg.

    37. In a class there are 45 pupils. If 49\frac{4}{9} of them are boys, the number of girls in the class is

  22. Calculate the number of boys.

    Number of boys = 49×45\frac{4}{9} \times 45

    Number of boys=4×459=4×5=20Number \ of \ boys = 4 \times \frac{45}{9} = 4 \times 5 = 20
  23. Calculate the number of girls.

    Number of girls = Total pupils - Number of boys

    Number of girls=45−20=25Number \ of \ girls = 45 - 20 = 25

    The number of girls in the class is C. 25.

    38. 3,5 cm = ____ mm

  24. Recall the conversion factor between centimeters and millimeters.

    1 cm=10 mm1 \text{ cm} = 10 \text{ mm}
  25. Multiply the given length in centimeters by the conversion factor.

    3.5 cm=3.5×10 mm=35 mm3.5 \text{ cm} = 3.5 \times 10 \text{ mm} = 35 \text{ mm}

    3,5 cm is A. 35.

    39. 12 kg in grams is

  26. Recall the conversion factor between kilograms and grams.

    1 kg=1000 g1 \text{ kg} = 1000 \text{ g}
  27. Multiply the given mass in kilograms by the conversion factor.

    12 kg=12×1000 g=12000 g12 \text{ kg} = 12 \times 1000 \text{ g} = 12000 \text{ g}

    12 kg in grams is C. 12 000g.

    40. A girl started baking at 10.45 in the morning and finished 20 minutes to 12. How many minutes did she take bake?

  28. Determine the start and finish times.

    Start time: 10:45 AM
    Finish time: "20 minutes to 12" means 11:40 AM.

  29. Calculate the duration from the start time to the next hour.

    From 10:45 AM to 11:00 AM = 15 minutes15 \text{ minutes}

  30. Calculate the duration from the hour mark to the finish time.

    From 11:00 AM to 11:40 AM = 40 minutes40 \text{ minutes}

  31. Add the durations to find the total baking time.

    Total baking time = 15 minutes+40 minutes=55 minutes15 \text{ minutes} + 40 \text{ minutes} = 55 \text{ minutes}

    She took C. 55mins to bake.

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