Examples for 6th grade (the sixth graders)

  1. Counting number
    numbers2_49 What is the smallest counting number divisible by 2,5,7,8 and 15?
  2. Negative in equation
    eq1_7 2x + 3 + 7x = – 24, what is the value of x?
  3. The Stolen Money
    magic2_1 A man walks into a store and steals a $100 bill. 5 minutes later, he returns to the store and buys stuff worth $70. He pays with the bill that he had stolen, so the owner of the store returns him $30. How many dollars did the store owner lose?
  4. Expression 6
    numbers2_48 Evaluate expression: -6-2(4-8)-9
  5. Cyclist 9
    cyclist_33 A cyclist travels at a a speed of 4.25 km per hour. At that rate, how far can he travel in 3.75 hours?
  6. Fruits
    jablka_15 Amy bought a basket of fruits 1/5 of them were apples,1/4 were oranges, and the rest were 33 bananas. How many fruits did she buy in all?
  7. Tilapia
    tilapia_1 A fish vendor sells 5/7 kilos of tilapia for 73.50. If you will buy 2 1/7 kilos of tilapia, how much will it cost?
  8. Running
    runners_3 Joanne ran 8 1/2 Kyleigh 1 2/3 and John 6 3/4 miles in one day. How many miles did the girls run in 3 days?
  9. To improper fraction
    fractal_15 Change mixed number to improper fraction a) 1 2/15 b) -2 15/17
  10. Prime factors
    prime Write 98 as product of prime factors
  11. Regrouping
    mixed_7 Subtract mixed number with regrouping: 11 17/20- 6 19/20
  12. One-third 2
    test_7 One-third of the people in a barangay petitioned the council to allow them to plant in vacant lots and another 1/5 of the people petitioned to have a regular garbage collection. What FRACTION of the barangay population made the petition?
  13. Ophelia
    teplomer_9 Ophelia recorded the temperature of a cold store every two hours. 1. At 6am it was -4°C and at 8am it was -1°C. By how much did the temperature rise? 2. The temperature went up by 5°C in the next two hours. .What was the temperature at 10am?
  14. Birthday party
    influenza_1 For her youngest son's birthday party, mother bought 6 3/4 kg of hotdog and 5 1/3 dozens bread rolls. Hotdogs cost 160 per kilogram and a dozen bread roll costs 25. How much did she spend in all?
  15. Rectangles
    rectangles2_3 How many different rectangles with sides integers (in mm) have a circumference exactly 1000 cm?
  16. Sandbox
    sand_2 Sandbox has area of 32 sq ft and length of 4 1/2 ft. What is width of sandbox.
  17. Square into three rectangles
    stvorcove-cisla_1 Divide the square with a side length of 12 cm into three rectangles with have the same circumference so that these circumferences are as small as possible.
  18. Length subtracting
    meter_11 Express in mm: 5 3/10 cm - 2/5 mm
  19. Adding mixed numerals
    zlomky_18 3 3/4 + 2 3/5 + 5 1/2 Show your solution.
  20. Simplify 3
    fractal_14 Simplify mixed numerals expression: 8 1/4- 3 2/5 - (2 1/3 - 1/4) Show your solution.

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