# Preparing for Mathematics

### MATHEMATICS INSTRUCTION

Look over the list of Math types you will be tested on, and find information in your textbook or online to make sure you understand the titles and types of questions you will be asked.

You can use a piece of paper for calculations during the test, but you cannot remove that paper at the end of the test.

⦁    Subtract (–)
⦁    Multiply (×)
⦁    Divide (÷)
⦁    Length
⦁    Width
⦁    Height
⦁    Angle
⦁    Sum

⦁    Approximate
⦁    Measure
⦁    Distance
⦁    Area
⦁    Volume
⦁    3-D shapes
⦁    2-D Shapes
⦁    Statistics

⦁    Product
⦁    Factor
⦁    Remainder
⦁    Fractions – one-half (½), one-quarter (¼)
⦁    Probability
⦁    Algebra
⦁    Equations
⦁    Solve

#### STAGE 1

##### QUESTION TYPE
• Select the correct number of sides for the two-dimensional figure.
• Select the correct number of faces for the three-dimensional figure.
• Select which figure shows a two-dimensional shape with a vertical line of symmetry.
• What is the current time shown on the clock?
• Which of the following is correct in describing the current time on the clock?
• Which clock is at (time)?
• Select the option that correctly orders the objects below from shortest to longest.
• Use the picture below to complete the statements comparing lengths of the three arrows.
• Investigate the number sequence below and select the option that correctly lists the next three numbers in the sequence.
• Choose the correct number that represents the number name given below.
• Choose the option that correctly writes the number in expanded form.
• What fraction of the object below is filled in?
##### SAMPLE QUESTION

Luke has 7 blue marbles and 5 red marbles. How many marbles does he have in all?

A. 12

B. 2

C. 13

D. 14

#### STAGE 2

##### QUESTION TYPE
• What color line shows a line of symmetry?
• Correctly identify the shape described.
• Which statement correctly compares angle A to angle B?
• Which statement about the angles on the two shapes is correct?

½ of 18 is ___.

A. 10
B. 6
C. 14
D. 9

#### STAGE 3

##### QUESTION TYPE
• Choose the net that would be used to build a ______.
• What is the name of this shape?
• How many faces does this 3-D shape have?
• Choose the shape that is a regular polygon.
• What is the best name for the triangle below?
• What would be the best name for the triangle described?
• Estimate angle _____.
• What is the measurement, in degrees, for angle _____?
• Complete the following conversion.
• The fraction 2/100 is equal to _____.
• 0.02 is equal to _______.
• Use estimation to select the answer closest to the solution for the multiplication problem.
• Use estimation to select the answer closest to the solution for the division problem.
• Complete the comparison statement.
• Order the fractions from least to greatest.
• Order the decimals from least to greatest.
• Which of the following is equal to _____?
##### SAMPLE QUESTION

A soccer pitch is 105m X 68m.  How many cm²  is a soccer pitch?

A. 714 cm²
B. 740,000 cm²
C. 7,140,000 cm²
D. 71,400,000 cm²

#### STAGE 4

##### QUESTION TYPE
• Select the expression that is the same as the phrase below.
• Order the integers from least to greatest.
• Complete the comparison statement.
• ____ is equal to which of the following?
• Calculate the perimeter of the triangle.
• Calculate the area of the triangle.
• The angle sum of all triangles is ____° .
• The angle sum of all quadrilaterals is ____°.
• Find the volume of the cuboid with the following dimensions.

4.68 + (-2.2) =

A. 2.48
B. 6.88
C. 6.48
D. 10.29

#### STAGE 5

##### QUESTION TYPE
• Select the expression that is the same as the phrase below.
• Which line is parallel to ______?
• Which line is perpendicular to ______?
• Find the equation of the line that passes through the points ( ___, ___) and ( ___, ___).
• Find the equation of the line that passes through the point ( ___, ___) and has a gradient of _____.
• The triangles below are similar figures. Find the length of y.
• The triangles below are similar figures. Find the area of triangle B.
• Select the choice that best describes the two figures.
• Simplify the algebraic expression.
• Find the surface area of the square pyramid with the following dimensions.
• Find the volume of the cuboid with the following dimensions.
• Find the volume of the sphere using the formula.
• The figures below are similar figures. What is the scale factor?
• The figures below are similar figures. What is the correct ratio?
• Find the mean/mode/median of the data set.
• Find the lower/upper quartile for the data set.
##### SAMPLE QUESTION

Find the mean of the data set:

Hours spent doing homework
2 , 3.5 , 1.5 , 3 , 4.5 , 3.5 , 2.5 , 3 , 2 , 2.5

A. 3.2
B. 2.8
C. 1.9
D. 5.6

#### STAGE 6

##### QUESTION TYPE
• Use trigonometric ratios to find the missing side of the triangle.
• Use Pythagorean Theorem to find the missing side of the triangle.
• Find the area of the triangle. Round to the nearest tenth.
• Use Heron’s rule to find the area of the triangle.
• Find the _____ th term in the arithmetic progression.
• Find the sum of the first x terms of the arithmetic progression.
• Find the _____ th term in the geometric progression.
• Use the explicit formula for the nth term in the geometric progression to find the common ration.
• Use the explicit formula for the nth term in the geometric progression to find the first three terms in the progression.
• Given the explicit formula for the arithmetic series, find the common difference.
• Use the binomial theorem to find the coefficient of _____ in the expansion of _____.
• Select the polynomial function of least degree that has the given zeros.
##### SAMPLE QUESTION

Solve the equation:

(3-2i)(1+3i) = ____

A. 3-5i
B. 4+1i
C. 9+7i
D. 6+4i