This document contains multiple math word problems involving scale factors, similarity of shapes, and geometric calculations. Questions ask about determining scale factors used to enlarge or reduce drawings, finding lengths and heights using scale diagrams, calculating total distances given scale information, showing similarity of triangles, and finding missing side lengths of similar shapes. The problems cover a range of geometry and scaling concepts tested on a math assessment.

1. Test Review
Scale and Similarity

2. How many shapes are not similar?

3. The actual length of the eland is 2.6 m, what
scale factor was used to reduce it to the size of
the picture??
4cm

4. An ant has a length of 2 mm. Lauren uses a
scale factor of 12 to draw the ant.
a) Is the drawing an enlargement or
reduction?
b) What will be the length of the ant in the
drawing?

5. Which of the triangles is similar??
7.5
6
4.5
b)
9
a)
3
11
4
5 15

6. Use the information provided to find the
height of the wall.
1.7 m
3m
10m

7. A baseball diamond has the properties as stated below. If you use
a scale of 250, what is the total distance from the outside corner
to the opposite ouside corner?
0.15m
0.04m

8. Use a scale factor of 0.5 to reduce this
image

9. Are the two triangles similar?? Show all work.
A D
2.5 2.9
8.7
7.5
B 1.5 C
4.5
E F

10. The two trapezoids are similar, find x, y and z
2.3 7.36
x
4 4
z
3.5
y

11. A pool has the dimensions of 6 m by 9 m.
Draw a scale diagram of it if it is reduced by
a scale factor of 1 .
300

12. One question similar to the river
crossing question involving similar
triangles
One question similar to the cattle
pasture question from assignment
4.4