Length + comparing - practice problems
Number of problems found: 85
- Existence of a triangle
Can the sides of a triangle have lengths 4, 18, and 20?
- Triangles - segments
How many triangles can be formed with segments measuring one and 2/3 mm one 3/4 mm and 2 1/2 mm
- ABCD on a map
Dinesh went from place A to place B and from there to place C. A is 7.5 km from B, and B is 12.7 km from C. Ayub went from place A to place D and from there to place C. D is 9.3 km from A, and C is 11.8 km from D. Who traveled more, and by how much?
- Janna 2
Janna lives 4 3/10 miles from school. She estimates she travels 4 x 2 x 5 or 40 miles weekly. Is her estimate an overestimate or an underestimate? Explain.
- Comparing by height
Ira is 1 2/5 m tall. Her mother is 4/5 m as tall as Ira. How many times is Ira's mother taller than her?
- Janet
Janet walks 7/10 miles in 1/4 hour. Ian walks 9/10 miles in 1/3 hour; who walks at the faster rate and why?
- Ricardo
Ricardo is 1 9/10 metres tall. If Ricardo is 3/10 meters taller than Joan, what is Joan's height in meters?
- A cone 3
A cone has a diameter of x cm and a slant height of y cm. A square pyramid has a base side length of x cm and a slant height of y cm. Which has the greater surface area? Explain.
- Segments 6
Compare the ratio of 1cm and 1m.
- Traveled journey
The tourist traveled 3/8 of the planned journey on the first day and 7/12 of the trip on the second day. On which day did he travel most of the way, and by how much?
- Cylinder-shaped 81766
The Novákov family bought a cylinder-shaped pool with a base radius of 200 cm and a volume of 31.4 hl. Could the grandson safely jump if he is 120 cm tall?
- Identical 81642
What is the largest surface area of a square glued together from 12 identical cubes with an edge length of 1 cm?
- Dimensions 81608
Find out if a circle with a volume of 38.5 cm² fits into a rectangle with dimensions of 110 mm and 65 mm.
- Triangle 81484
Choose a triangle that is similar to the given triangle. - ∆ TFC= t= 8 cm, f= 9 cm, c= 7 cm. : ∆ PKU= p= 45 cm, k= 35 cm, u= 40 cm. ∆ UPK= u= 40 cm, p= 45 cm, k= 35 cm. ∆ PUK= p= 45 cm, u= 40 cm, k= 35 cm. ∆ KPU= k= 35 cm, p= 45 cm, u= 40 cm. ∆ KUP= k= 35
- Dimensions 80655
The digital photo has dimensions of 640 × 480 pixels. Which of the classic photo paper formats is "most similar": 9 x 6 cm, 10 x 7 cm, 13 x 9 cm, 15 x 10 cm, 18 x 13 cm, or 30 x 20 cm?
- Exist triangle
Which of the following set of numbers could not represent the three sides of a triangle A. 13,22,34 B. 8,20,30 C. 10,14,23 D. 15,25,37
- Number line
Find a number on the number line whose distance from the number 3 is four times smaller than from the number 15 (specify both solutions).
- Motorcycle 79944
A car travels 11,000 m in one minute. A motorcycle travels at a speed of 330 m in 11 seconds. Which of them will travel the greater distance in 1 hour of driving?
- Parabolic 79764
In a tennis match, Adrien is 5 m from the net when he hits a ball 80 cm off the ground. The maximum height of its parabolic path passing through the net was 1.5 m. If the length of the court is 23.77 m, will the ball land inside the court?
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