Download Term 1 test

Mathematics Term 1 Test - Grade 9
Five Bridges Junior High
Name : ____________________
Date : November 15, 2012
Sections
Number Sense GCO A :
A1 – Square Root
A3 – Understand irrational numbers
A4 – Understand the subsets of real numbers
A5 – Compare and order real numbers
A6 – Represent problem situations using matrices
Operation Sense GCO B :
B1 – Solve problems involving real numbers
B2 – Fraction and Decimal number operations
B3 – Order of operations with real numbers
B4 – Integral Exponents
B7 – Matrix operations of addition, subtraction and scalar multiplication (*avec A6)
B11 – evaluate polynomial expressions
B14 – select and use appropriate strategies in problem situations
A1 – ____
A3 – ____
A4 – ____
A5 – ____
A6 – ____
B1 – ____
B2 – ____
B3 – ____
B4 – ____
B7 – ____
B11 - ____
B14 – ____
A1-1. TRUE or FALSE. If the equation is false, explain why.
a. 9  16  9  16 TRUE or FALSE because :
b.
9  16  9  16 TRUE or FALSE because :
A1-2. A rectangle with length of 20 cm and width of 8 cm has the same area as a square. Find the
dimensions of the square? Draw and show the steps in your work.
Test the answer by finding the area of the square. Show your work for full value.
A3-1. What are the similarities and differences between 3,14 and π ? Explain using groups of
numbers in your comments.
A3-2. Explain why
A4-1.
a)
b)
c)
d)
e)
2 is irrational.
Give one example of a number which is :
Whole and rational : _____________
irrational and between 0 and 1 : ______________
rational and equivalent to 10/3 : _________________
Negative and irrational : _______________
positive but NOT whole : ________________
A4-2. Use a checkmark to show the numbers that belong to each group.
Natural
(N)
Whole(W)
Integers
(I)
Rational (Q)
Irrational (Q)
-7
¼
-5.37
100
5π
 16
A5-1. Place the numbers in ascending (smallest to largest) order :
Put your final answer in the space provided. For example;
1
1
10, 0.5, 21,
your final answer would look like
85
85
a)
10
, – 15 ,
3

,–
10
7
0.5
10
21
b)
1 1 1 1
, ,2 ,
20 2 2
3 22
A5-2. Evaluate these expressions and place them in ascending (smallest to largest) order.
(-3)2
-32
3-2
-3-2
A5-3. Insert <, >, or = to make the following expressions correct.
a) 23 _____ 32
b) –90 _____ 90
c) 10-1_____ 0.1
d) 0.01 ____ 0.01
A6-1. There are 4 teams in the SJA basketball league. Ridgecliff has 8 victories, 6 losses, and 4
ties. Brookside has 5 victories, 8 losses, and 5 ties. Madeline Symonds has 12 victories, 4 losses,
and 2 ties, and Five Bridges has 16 victories, 1 loss, and 1 tie.
a. Show this information in a matrix with dimensions 4x3
b. Identify element (2,3) and explain what it represents (in words)).
c. What information will be suppressed if you eliminate the 3rd column of this matrix?
B7-1. Compute the following operations with matrices
a)
1



7 
  8 6 2
 1
3.09 8.6  __ 2.6  5.92 =
 2

4


8.001 
10 

 10

 5

7 
 1
 5
10 

b) 5 0.2
5  =
 3


8.875
 15

CHOOSE 2 QUESTIONS in this section
B1-1. Find the total perimeter of the big triangle below.
y = _____
11.9 m
7.2 m
x = ______
3.05
m
B1-2. Using examples, show that a negative sign on an exponent and a negative sign on a number
mean two very different things.
B1-3. Three clubs participated in a school bake sale that netted a profit of $600. The orchestra
received 3/5 of the profit, the library crew got 1/3 of the remaining profit. The soccer team got the
rest. How much money did each group receive?
1
1
B1-4. Henry wants to make pizza. He estimates that it takes him
h to prepare dough,
h to
4
10
1
2
grate cheese, h to prepare toppings, and h to bake the pizza. He has exactly 2 h available in
3
5
his schedule for this task today.
a. Will he have enough time to complete the pizza?
b. How much more time will he need OR how much time will he have left after his pizza is
completed?
B2/3-2. CHOOSE
2 QUESTIONS in this section
Evaluate. Show all your work. final answer should be simplified and any improper fractions
should be changed to mixed
1 5 1 1
1  1
3
1
  7  3 
  
 4  6 

   (1 )
7 6 7 6
9  5
10 
6
 9  14 
B4.1 Find the missing exponent in each of the following equations :
a. 25 ÷ 2
=23
d. n6 x n
b. 4 ÷ 42 = 45
= n8
e. x0 ÷ x5 = x
c. 5 x 53 = 54
B4.2 Simplify using exponent laws. There should be NO negative exponents in your answers!!
a. (7 6 ) 5  7 3
d. (7 xy 6 ) 0  7
b. (2 x 2 ) 3
7 8
e.     
8 7
3
 20a 4 b 4
c.
10a 3 b 1
***B4.3 Explain why 20 = 1.
3
B13-1. Evaluate the following expressions given x = 2, y = -3 and z = ½
a. x 2  3 y
b. xyz
c. x 2 y 2  z
CHOOSE 2 QUESTIONS in this section
B15-1. A soccer field measures 90 m by 45 m. Robert and Samuel each run at a speed of 100
m/min. Robert says : « I can run from one corner of the field to the diagonally opposite corner in 1
minute ». Samuel does not agree. Determine who is correct using mathematical reasoning.
Diagram and Work
Written answer
B15-2. Marie evaluates the square root of 16 subtract 3 and finds that it equals 1. Bruno gets -7.
Explain how both answers are possible and correct.
B15-3. Air Canada offers two different rates to travel from Halifax to another city. From Halifax
to Edmonton the best rate is $675, and the last-minute rate is $1250. From Halifax to Toronto the
best rate is $230 and the last-minute rate is $550. From Halifax to St. John's the best rate is $330
and the last-minute rate is $825.
A) Draw Matrix A to represent a 2-way trip to each city.
B) Air Canada has increased its rates by 15% due to fuel prices. Draw Matrix B to reflect the new
cost.
B15-4. A room measures 6.4 m by 5.2m. Carpet costs $15.75/m2, and installation costs $4/m2.
Calculate the total cost to carpet the room.