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Equations, SM-Bank 036

Solve the equation . (2 marks)

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Equations, SM-Bank 035

Two consecutive integers have a sum of 147.

Given the first number is , write an algebraic equation to represent this information. (2 marks)

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Solve your equation algebraically to find the two numbers. (2 marks)

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b.

Equations, SM-Bank 034

Two consecutive integers have a sum of 25.

Given the first number is , write an algebraic equation to represent this information. (2 marks)

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Solve your equation algebraically to find the two numbers. (2 marks)

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b.

Equations, SM-Bank 033

Find the value of in the formula if , and . (2 marks)

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Special Properties, SMB-010 MC

Which of these are always equal in length?

the diagonals of a rhombus
the diagonals of a parallelogram
the opposite sides of a parallelogram
the opposite sides of a trapezium

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Special Properties, SMB-009 MC

is a parallelogram.

Which of these must be a property of ?

Line is perpendicular to line .
Line is parallel to line .
Diagonals and are perpendicular.
Line is parallel to line .

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Special Properties, SMB-007 MC

A closed shape has two pairs of equal adjacent sides.

What is the shape?

rectangle
trapezium
kite
triangle

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Special Properties, SMB-004 MC

Which one of the following triangles is impossible to draw?

a right angled triangle with two acute angles
an isosceles triangle with one right angle
a scalene triangle with three acute angles
a right angled triangle with one obtuse angle

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Special Properties, SMB-002 MC

A triangle has two acute angles.

What type of angle couldn't the third angle be?

an acute angle
an obtuse angle
a right-angle
a reflex angle

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Equations, SM-Bank 032

Verify that is a solution of the equation . (2 marks)

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Equations, SM-Bank 031

Verify that is a solution of the equation . (2 marks)

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Equations, SM-Bank 030

Verify that is a solution of the equation . (2 marks)

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Equations, SM-Bank 029

Verify that is a solution of the equation . (2 marks)

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Equations, SM-Bank 028

Verify that is a solution of the equation . (2 marks)

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Equations, SM-Bank 027

Solve . (2 marks)

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Equations, SM-Bank 026

Solve . (2 marks)

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Equations, SM-Bank 025

is subtracted from a quarter of and the result is .

Write an equation and solve it algebraically to find the value of . (3 marks)

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Equations, SM-Bank 024

Solve (2 marks)

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Equations, SM-Bank 023

Solve (2 marks)

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Equations, SM-Bank 022

Solve (2 marks)

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Equations, SM-Bank 021

Solve (2 marks)

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Equations, SM-Bank 020

Solve (2 marks)

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Equations, SM-Bank 019

Solve (2 marks)

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Equation, SM-Bank 018

Solve (2 marks)

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Equations, SM-Bank 017

Solve (2 marks)

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Equations, SM-Bank 016

Solve (2 marks)

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Equations, SM-Bank 015

A square with side length has an area of .

Write an equation and solve it to find the side length. (2 marks)

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Equations, SM-Bank 014

A number is halved and the result is 125.6.

Write an equation and solve it to find the number. (2 marks)

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Equations, SM-Bank 013

A number is tripled and the result is 141.

Write an equation and solve it to find the number. (2 marks)

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Equations, SM-Bank 012

Verity and three of her friends won dollars in a lottery. When the money was divided evenly between the four friends they each received .

Write an equation and solve it to find out the total amount of their lottery winnings. (2 marks)

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Equations, SM-Bank 011

Josh is currently years old. In years he will be 42.

Write an equation and solve it to find Josh's current age. (2 marks)

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Equations, SM-Bank 010

Preston is paid dollars per basket of grapes he picks. Yesterday he picked baskets and he earned $306.

Write an equation and solve it to find Preston's rate of pay per basket. (2 marks)

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Equations, SM-Bank 009

Missy is paid dollars per hour. Last week she worked hours and she earned $350.

Write an equation and solve it to find Missy's hourly rate of pay. (2 marks)

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Equations, SM-Bank 008

Solve the following one-step equations.

(1 mark)

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(1 mark)

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(1 mark)

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(1 mark)

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a.

b.

c.

d.

Equations, SM-Bank 007

Solve the following one-step equations.

(1 mark)

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(1 mark)

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(1 mark)

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(1 mark)

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a.

b.

c.

d.

Equations, SM-Bank 006

Jace is paid dollars per hour. Last week he worked hours and he earned $300.

Write an equation describing his wages for the week. (2 marks)

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Equations, SM-Bank 005

Marcia is years old. In years time she will be 27.

Write an equation for this description. (1 mark)

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Equations, SM-Bank 004

Write an equation for:

the difference between and is . (1 mark)

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the product of and is . (1 mark)

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the sum of and is doubled and the answer is 8. (1 mark)

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half of is added to 6 and the result is 12. (1 mark)

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Equations, SM-Bank 003

Write an equation for the sum of and is . (1 mark)

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Equations, SM-Bank 002 MC

Which of the following equations is not correct?

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Equations, SM-Bank 001 MC

Which of the following is not an equation?

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Indices, SM-Bank 103

Simplify , giving your answer in simplified index form. (2 marks)

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Indices, SM-Bank 102

Simplify , giving your answer in simplified index form. (2 marks)

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Indices, SM-Bank 101

Simplify , giving your answer in simplified index form. (2 marks)

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Indices, SM-Bank 100

Simplify , giving your answer in simplified index form. (2 marks)

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Indices, SM-Bank 099

Simplify the following, giving your answers in index form.

(1 mark)

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(2 marks)

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(2 marks)

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Indices, SM-Bank 098

Simplify the following, giving your answers in index form.

(1 mark)

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(2 marks)

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(2 marks)

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Indices, SM-Bank 097

Simplify the following, giving your answers in index form.

(1 mark)

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(1 mark)

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(1 mark)

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Indices, SM-Bank 096

Simplify the following, giving your answers in index form.

(1 mark)

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(1 mark)

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(1 mark)

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Indices, SM-Bank 095

Simplify the following, giving your answers in index form.

(1 mark)

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(1 mark)

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(1 mark)

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Indices, SM-Bank 094

Write in expanded form. (2 marks)

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Write your answer to (a) in simplified index form. (1 mark)

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Indices, SM-Bank 093

Write in expanded form. (2 marks)

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Write your answer to (a) in simplified index form. (1 mark)

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Indices, SM-Bank 092

Find the missing term in the following number sentence. (1 mark)

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Indices, SM-Bank 091

Find the missing term in the following number sentence. (1 mark)

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Indices, SM-Bank 090

Simplify the following, giving your answers in index form.

(1 mark)

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(1 mark)

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(1 mark)

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Indices, SM-Bank 089

Simplify the following, giving your answers in index form.

(1 mark)

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(1 mark)

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(1 mark)

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Indices, SM-Bank 088

Write as a fraction in expanded form. (2 marks)

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Write your answer to (a) in simplified index form. (1 mark)

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Indices, SM-Bank 087

Write as a fraction in expanded form. (2 marks)

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Write your answer to (a) in simplified index form. (1 mark)

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Indices, SM-Bank 086

Find the missing term in the following number sentence. (1 mark)

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Indices, SM-Bank 085

Find the missing term in the following number sentence. (1 mark)

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