Examples for 6th grade (the sixth graders)
- Number with ones
The first digit of the number is 1, if we move this digit to the end we get a 3 times higher number, which is the number?
One-eighth of the trees in the fruit plant in winter froze and one-twelfth of damaged disease and pests. Healthy trees remained 152. Is it enough to supply 35 trees to restore the original number of trees in the orchard?
- Water block
A block with a 50 cm2 base is filled with water 5 cm under the edge. How many can sugar cubes with 2 cm edge be thrown into a container that overflow water?
- Pupil age
I am a pupil of the primary school, I spent 1/4 of my age on the exercise of parents with children, 1/3 on drawing, 1/6 on flute. I did not have a ring for the first three years of my life and never went to two rings at once. How old am I?
- Train and walker
Walker passes an hour 5 km. Express train per hour 100 km. Walker went 4 hours. How many minutes took the distance express train?
Eva borrowed 1/3 of her savings to her brother, 1/2 of savings spent in the store and 7 euros left. How much did she save?
- Density 2
What is the density of a piece of driftwood that has the mass of 25 grams and a volume is 30 cm to the 3rd power. And how do I figure it out?
A rectangular garden of 25m in length and width 20m in width fall 4mm of water. Express by a fraction in basic form what part of the 60-hectolitre tank we would fill with this water.
How many 1/4 cup servings are in 2 and 1/3 cups of lemonade?
1/3 poppy cake, 1/3 apple, 15 pieces of cheese. How many are totally cakes?
- Whole numbers
Pavol wrote down a number that is both rational and a whole number. What is one possible number she could have written down?
- Fraction and a decimal
Write as a fraction and a decimal. One and two plus three and five hundredths
- Clock hands
The second hand has a length of 1.5 cm. How long does the endpoint of this hand travel in one day?
The diamond has a circumference of 48cm. Calculate the length of its side in dm.
A child is to receive a dose of 0.5 teaspoon of cough medicine every 12 hours. if the bottle contains 60 doses, how many days will the medicine last?
- Thunder and lightning
There was a glimpse of the sky and we hear a thunder in 4.5 seconds. The light spreads at 300,000 kilometers per second, so we can assume the flash instantly without delay. However, the speed of the sound is much smaller in the air one third of a kilomete
- Equation 15
Solve equation with variables on both sides:
- Brick weight
Half the weight of a brick plus 20 pounds is equal to 1/3 the weight of the brick plus 30 pounds. How much does the brick weigh?
- Bed time
Tiffany was 5 years old; her week night bedtime grew by ¼ hour each year. If, at age 18, her curfew time is 11pm, what was her bed time when she was 5 years old?
Lara Pamela spends her salary of 3000 for food, clothing, recreation and savings, which are in the ratio of 48:20:15:37, respectively. How much does he spend for savings?