Terra Nova Practice Lesson 34

Using Reasoning to Solve Problems

Problem 1

The in this addition problem must be replaced by what digit? 238

+ 65A 4B 6C 7D 8

Problem 2 What additional piece of information do you

need to compare the areas of two similar triangles if you know the length of one side and the height of one triangle?

A the height of the 2nd triangle B the length of a 2nd side of the 1st triangle C the perimeter of the 2nd triangle D none of the above

Problem 3

How many different ways can Albert, Barney, Charlie, and David sit in a car if one of them must sit in the front and three must sit in the back?

A 6 B 12 C 18 D 24

Problem 4

What is the 12th term of the following sequence?

19, 17, 20, 18, 21, 19, 22, 20, 23, … A 21 B 22 C 24 D 25

Problem 5 Oscar is thinking of 4 numbers. Two

of the numbers are 17. The other 2 numbers differ by 2. The average of the four numbers is 18. What are the two missing numbers?

A 10 and 12 B 14 and 16 C 17 and 19 D 18 and 20

Problem 6 An equilateral triangle is inscribed in a circle.

What do you know about the circle? A The vertices of the triangle divide the

circle into arcs of equal length. B The vertices of the triangle divide the

circle into arcs equal in length to the sides of the equilateral triangle.

C The radius of the circle is half the length of any side of the equilateral triangle.

D The diameter of the circle is equal to the length of any side of the equilateral triangle.

Problem 7

Given these two statements, which conclusion can you make? Swimmers like warm weather. Rory is a swimmer.

A Rory does not like warm weather. B Rory likes warm weather. C Rory is not a swimmer. D No conclusion can be made.

Problem 8

Problem 8 The Venn diagram shows the 8th grade girls

who play soccer, basketball, and volleyball. Which of these generalizations can be made from this Venn diagram? (No region is empty.)

A All basketball players play only 1 sport. B All 8th graders play 1 of the 3 sports. C Some volleyball players play soccer and

basket ball. D None of the volleyball players plays

another sport.

Answers 1 C 2 A 3 D 4 B 5 D 6 A 7 B 8 C