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Geometry and Measurement Practice Problems
Mathematics
This document contains a series of practice problems and explanations related to geometry, focusing on measurements, area, perimeter, circles, and the Pythagorean theorem. It includes exercises on rounding, estimating, unit conversions, calculating areas of various shapes, and understanding geometric formulas.
Geometry
Measurement
Calculations
33 Questions
Medium
Ages 10+
Mar 14, 2026
About this Study Set
This study set covers Mathematics through
33 practice questions.
This document contains a series of practice problems and explanations related to geometry, focusing on measurements, area, perimeter, circles, and the Pythagorean theorem. It includes exercises on rounding, estimating, unit conversions, calculating areas of various shapes, and understanding geometric formulas. Every question includes the correct answer so you can learn as you go — pick any format above to get started.
Questions & Answers
Browse all 33 questions from the
Geometry and Measurement Practice Problems study set below.
Each question shows the correct answer — select a study format above to practice interactively.
1
What is the accuracy required for rounding in problem 1?
-
A
100 meters
-
B
10 meters
-
C
1000 meters
-
D
1 meter
2
Which of the following is an exact value?
-
A
The number of seats in the Riksdag
-
B
Melina's height
-
C
The population of Denmark
-
D
Lykke paying with a 500-kronor bill
3
If a pack of two t-shirts costs 289 kr, what is the estimated price of one t-shirt?
-
A
145 kr
-
B
144.50 kr
-
C
150 kr
-
D
140 kr
4
Convert 750 cm to meters.
-
A
7.5 m
-
B
0.75 m
-
C
75 m
-
D
7500 m
5
Calculate the perimeter of the figure.
-
A
11.1 cm
-
B
11.1 cm
-
C
11 cm
-
D
11.2 cm
6
Calculate the area of the parallelogram.
-
A
1700 m²
-
B
170 m²
-
C
17000 m²
-
D
17 m²
7
Calculate the area of the triangle.
-
A
12 cm²
-
B
120 cm²
-
C
6 cm²
-
D
1.2 cm²
8
Calculate the area of the polygon.
-
A
6.5 cm²
-
B
65 cm²
-
C
650 cm²
-
D
0.65 cm²
9
What is the side length of a square with an area of 49 cm²?
-
A
7 cm
-
B
24.5 cm
-
C
12.25 cm
-
D
2401 cm
10
Calculate the hypotenuse of a right-angled triangle with legs of 9 and 12.
11
Calculate the unknown leg of a right-angled triangle if the hypotenuse is 50 and one leg is 48.
12
Calculate the ratio between the circumference and diameter of a pipe with a circumference of 15 cm and a diameter of 4.8 cm, rounded to two decimal places.
-
A
3.13
-
B
3.125
-
C
3.14
-
D
3.12
13
Calculate the circumference of a circle with a radius of 14 cm.
-
A
87.96 cm
-
B
43.98 cm
-
C
28 cm
-
D
27.99 cm
14
Calculate the area of a circle with a radius of 8.8 cm.
-
A
246.30 cm²
-
B
4.4 cm²
-
C
25.64 cm²
-
D
4.4 cm
15
Calculate the radius of a circle with an area of 12.0 m².
-
A
1.95 m
-
B
3.89 m
-
C
1.09 m
-
D
0.97 m
16
Calculate the circumference of a circle with a diameter of 45 cm.
-
A
141.37 cm
-
B
70.69 cm
-
C
22.5 cm
-
D
45 cm
17
Calculate the arc length of a 100° arc on a circle with a diameter of 82 cm.
-
A
71.77 cm
-
B
143.54 cm
-
C
257.61 cm
-
D
82 cm
18
Calculate the area of a sector with a radius of 25 cm and a central angle of 85°.
-
A
552.91 cm²
-
B
1178.10 cm²
-
C
106.25 cm²
-
D
85 cm²
19
Calculate the area of a cross-section of a tree with a circumference of 87 cm.
-
A
604.5 cm²
-
B
1209 cm²
-
C
19.4 cm²
-
D
38.7 cm²
20
On what area can a dog move if it's tethered to a wall with a 7.0 m rope?
-
A
49 m²
-
B
153.9 m²
-
C
38.5 m²
-
D
154 m²
21
Calculate the area of a regular hexagon with a side length of 44 cm.
-
A
1284.3 cm²
-
B
75.4 cm²
-
C
6338.9 cm²
-
D
12677.8 cm²
22
How far does a car travel when its 70 cm diameter tire spins 4,000 revolutions?
-
A
8.8 km
-
B
88 km
-
C
880 km
-
D
0.88 km
23
What is the area of a square with a side length of 5.0 cm?
-
A
25 cm²
-
B
10 cm²
-
C
20 cm²
-
D
5 cm²
24
Calculate the area of the colored region (a circle inside a square).
-
A
19.63 cm²
-
B
5.37 cm²
-
C
25 cm²
-
D
14.63 cm²
25
Calculate the circumference of a circle with a radius of 11.8 cm.
-
A
74.1 cm
-
B
23.6 cm
-
C
37.07 cm
-
D
137.4 cm
26
Calculate the area of a circle with a radius of 6.0 m. If the radius increases by 3.0 m, how much does the area increase?
-
A
28.27 m²
-
B
63.62 m²
-
C
94.25 m²
-
D
35.34 m²
27
Calculate the area of the colored region.
-
A
10.18 cm²
-
B
3.14 cm²
-
C
6.28 cm²
-
D
2.0 cm²
28
Calculate the area of the part of the ceramic stove outside the circles.
-
A
2720 cm²
-
B
1360 cm²
-
C
1450 cm²
-
D
59 cm²
29
How long does it take for the Earth to complete one orbit around the Sun if the distance is 150,000,000 km and the speed is approximately 30 km/s?
-
A
5,000,000 seconds
-
B
50,000,000 seconds
-
C
5,000,000 minutes
-
D
5,000,000 hours
30
Calculate the area of the yellow region in a wrestling mat.
-
A
10.1 m²
-
B
70.8 m²
-
C
101 m²
-
D
110 m²
31
What is the area of a parallelogram with a base of 4.5 cm and a height of 2.8 cm?
-
A
12.6 cm²
-
B
7.3 cm²
-
C
12 cm²
-
D
13 cm²
32
Calculate the area of a trapezoid with parallel sides of 4.1 cm and 4.5 cm, and a height of 2.8 cm.
-
A
12.04 cm²
-
B
12 cm²
-
C
15.96 cm²
-
D
8.6 cm²
33
Calculate the area of a polygon.
-
A
163400 m²
-
B
160000 m²
-
C
16 ha
-
D
160 ha
