Terra Nova Practice Lesson 34 Using Reasoning to Solve Problems

Problem 1  The in this addition problem must be replaced by what digit? A 4 B 6 C 7 D 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 2 nd triangle  B the length of a 2 nd side of the 1 st triangle  C the perimeter of the 2 nd 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 12 th 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

 The Venn diagram shows the 8 th 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 8 th 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