Maths practice for 14 year olds - page 348 of 361
Number of problems found: 7207
- Sequence
The arithmetic sequence is given: Sn=1656, d=6, an=138 Calculate a1 and n. - Store
2.1 EUR discounted one meter of the textile. Now, 10 m of textile costs the same as 8 m. Calculate the old and new prices of 1 m of textile. - Rhombus ABCD
Rhombus ABCD, |AC| = 63 cm, |BD| = 50 cm. Calculate the perimeter of the rhombus ABCD. - Similarity
The area of the regular 5-gon is 495 cm². The area of similar 5-gon is 606 dm². What is the coefficient of similarity? - Quadrant
In what quadrant is a -1165° angle? - No. of divisors
How many different divisors have number 13 4 * 2 4? - Bonus
The gross wage was 1222 EUR, including the 14% bonus. How many EUR were bonuses? - Slope
What is the slope of a line with an inclination -325°? - Perpendicular
Find the slope of the line perpendicular to the line p: y = 8x +6. - Cylinders
The area of the side of two cylinders is the same rectangle of 48 cm × 38 cm. Which cylinder has a larger volume, and by how much? - Scale
The swimming pool is long 50 m and 30 m wide. The city's plan is shown as a rectangle with an area 2.4 cm². What scale is the city plan? - IS triangle
Calculate the interior angles of the isosceles triangle with base 12 cm and legs 19 cm long. - Short cut
Imagine that you are going to a friend. That path has a length of 120 meter. Then turn doprava and go other 630 meters, and you are at a friend's. The question is, how much will the journey be shorter if you go directly across the field? - Line
Line p passes through A[5, -3] and has a direction vector v=(2, 3). Is point B[3, -6] on the line p? - n-gon
Gabriel draws an n-gon, in which angles are consecutive members of an arithmetic sequence. The smallest angle is 120° biggest 160°. How many sides have Gabriel's n-gon? - Sea water
Mixing 63 kg of seawater with 43 kg of rainwater produces water containing 2.7% salt. What percentage of salt does the seawater contain? - Angles
Find the interior angles of a rhombus with area 72 cm² and perimeter 48 cm. - Trains
On a double-track line between stations, K and M went against each other two trains. The first train passed the distance between stations for 1 hours, and the second, which had an average speed of 11 km/h more, passed for 0.65 hours. Calculate the distanc - Vinegar 2
If we mix 3.5 liters of 5.8 % vinegar with 5 liters of 7.6 % vinegar, how many percentages of vinegar solution will we get? - Cinema
The Cinema auditorium is built for 3300 people. The first row is planned for 36 seats, and each next gradually 4 more. How many rows of seats will have an auditorium?
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