Maths practice for 12-year-olds - page 239 of 307
Number of problems found: 6129
- Plane II
A plane flew 50 km on a bearing of 63°20' and then flew in the direction of 153°20' for 140km. Find the distance between the starting point and the ending point.
- Simple equation
Solve the following simple equation: 2. (4x + 3) = 2-5. (1-x)
- Garden
A Garden with an area of 800 square meters rained 3 mm of water. How many 10-liter cans of water are needed for the same irrigation?
- Centimeters 4054
Find the surface of the cylinder if its diameter is 12 centimeters and its height is 9 centimeters.
- Unknown number 11
That number increased by three equals three times itself.
- Property 4047
Seven times the number minus 3 is as big as three times the same number minus 7. Which number has this property?
- Through 4045
We should fill the water tank with a volume of 100 hl to 2/3 of the volume. How long does the filling take if 2.5 l of water per second flows through the hose?
- Transferred 4040
The cowboy has 25 horses in two pens. He transferred 5 from the first to the second, then sold 7 horses from the second. How many horses were originally in the first pen? In the first enclosure, there were just 2 times more horses than in the second enclo
- Trapezium bases
Find the trapezium's height if a = 8 cm and c = 4 cm, and its area is 21 square centimeters.
- Odd-numbered 4033
Mr. O. came up with two codes for the vault, which he alternates after a week. Both codes have the product of the digit 120. In an even week, it uses the smallest possible number as the code with this property. In the odd week, the largest. No number 1 in
- Ornamental shrubs
Children committed to planting 240 ornamental shrubs. Their commitment, however, was exceeded by 48 shrubs. Write the ratio (r) of actually planted shrubs and commitment by the lowest possible integers a/b.
- -x-3/3 4027
x + 6/6 -x-3/3 = 3/4
- X-2 4025
x-2 / x-1 -2 = x + 1 / x-2
- Temporary sale off
With a temporary price reduction, the jacket's original fee of CZK 1,850 was reduced by 20%. Later, it was raised again by 20%. What was the jacket's final price?
- Calculated 4023
How much does the glass of a display cabinet with dimensions of 3m x 2m and a thickness of 10mm weigh if the weight of the glass is calculated based on its specific volume weight, which is 2600 kg/m³? Therefore, the weight of one sheet of glass measuring
- Norm
Three workers planted 3555 seedlings of tomatoes in one day. The first worked at the standard norm, the second planted 120 more seedlings, and the third was 135 more than the first worker. How many seedlings were the standard norm?
- Two machines
Performances of two machines are in a ratio of 7:12. A machine with less power produced 406 pieces of products per shift. a) How many pieces are produced per shift second machine? b) How many pieces produced two machines together for five shifts?
- Orchard
3/5 of the trees in the orchard are apples, 1/3 are cherries, and the remaining five trees are pears. How many trees are in the orchard?
- Bicycle gears
The toothed wheel on the bicycle pedal has 40 teeth, and the wheel on the rear wheel has only 16 teeth. How many times does the rear wheel turn if the pedals rotate 50 times?
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