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Term pack

Grade 7 Math

Name: ________________________

Skills in this pack

  • Multiplying and dividing integers
  • Rational numbers
  • Properties of rational numbers
  • The unitary method
  • Profit and loss
  • Simple interest
  • Discount and tax
  • Algebraic expressions
  • Powers and exponents
  • Lines and angles
  • Mensuration
  • Symmetry
  • Probability
  • Chance and probability

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Grade 7 Math · 1 of 14

Multiplying and dividing integers

Multiply and divide positive and negative whole numbers, and get the sign right every time.

Before you start

This line runs from twelve below zero to twelve above it, in twos. Move along it and see how the two halves mirror each other.

-12-60612

Every step to the right adds 2 and every step to the left takes 2 away, so multiplying by a negative is the same jumps walked the other way. That is the whole sign rule, in one picture.

  1. 1.56 ÷ (-7) = ?

  2. 2.-36 ÷ 9 = ?

  3. 3.-45 ÷ (-5) = ?

  4. 4.-15 + 3 × (-4) = ?

  5. 5.-6 × 4 = ?

  6. 6.Work out -2 × 4, then tap where the answer sits.

    Mark the line with an X.

    -10-9-8-7-6-5-4-3-2-1012345678910

  7. 7.The product of two integers is -48. One of them is 6. What is the other?

  8. 8.-7 × (-3) = ?

Multiplying and dividing integers · Grade 7 Math · www.arenapublications.com/learn

Grade 7 Math · 2 of 14

Rational numbers

Place, compare, add and subtract numbers that can be written as one whole number over another.

  1. 1.Match each rational number to its opposite — the number the same distance from zero on the other side.

    • 3/4
    • -2/5
    • 1/2
    • -7
    • 5/6
    • -3/4
    • -1/2
    • -5/6
    • 7
    • 2/5

  2. 2.Write a rational number that lies exactly halfway between 1/2 and 3/4.

  3. 3.Tap where -5/4 sits.

    Mark the line with an X.

    -2.00-1.000.001.002.00

  4. 4.Tap where -1/2 sits.

    Mark the line with an X.

    -2.0-1.5-1.0-0.50.00.51.01.52.0

  5. 5.Every whole number is also a rational number. Why?

    • a) Because it is always positive
    • b) Because it can be written as a fraction with 1 on the bottom
    • c) Because it is always bigger than a fraction
    • d) Because it never has a decimal point

  6. 6.Put these rational numbers in order, smallest first.

    • 1
    • -1/4
    • 0
    • -1
    • 2/5
    • -3/2

  7. 7.-2/3 - 1/6 = ? Write your answer as a fraction.

  8. 8.-3/4 + 1/4 = ? Write your answer as a fraction.

Rational numbers · Grade 7 Math · www.arenapublications.com/learn

Grade 7 Math · 3 of 14

Properties of rational numbers

Add, subtract, multiply and divide rational numbers, and use the properties that make the work shorter.

Before you start

Wander along this line in quarter steps. Nothing here is right or wrong — see how the numbers crowd together.

-2.00-1.000.001.002.00

The line only shows quarters, but between any two of them sits another rational number — an eighth, a sixteenth, and so on for ever. There is no 'next' rational number.

  1. 1.5/7 × 3/4 gives the same answer as 3/4 × 5/7. Which property is that?

    • a) Multiplication of rational numbers is associative
    • b) Multiplication is distributive over addition
    • c) Multiplication of rational numbers is commutative
    • d) One is the multiplicative identity

  2. 2.Tap where -7/4 sits.

    Mark the line with an X.

    -3.00-2.00-1.000.001.002.003.00

  3. 3.2/3 × 9/8 = ? Write your answer as a fraction in its simplest form.

  4. 4.Write the rational number that lies exactly halfway between 1/3 and 1/2.

  5. 5.What is the reciprocal of -7/9? Write your answer as a fraction.

  6. 6.Match each rational number to its additive inverse — the number you add to it to get zero.

    • 2/7
    • -5/9
    • 3/4
    • -11/6
    • 8/3
    • -3/4
    • -8/3
    • -2/7
    • 11/6
    • 5/9

  7. 7.4/9 × 7/5 + 4/9 × 3/5 = ? Write your answer as a fraction.

  8. 8.Rational numbers are closed under addition, subtraction and multiplication. Which operation is the exception, because one case has no answer at all?

    • a) Division, when you divide by zero
    • b) Multiplication, when one number is a fraction
    • c) Subtraction, when the answer comes out negative
    • d) Addition, when both numbers are negative

Properties of rational numbers · Grade 7 Math · www.arenapublications.com/learn

Grade 7 Math · 4 of 14

The unitary method

Find the value of one thing first, then scale it to any number — and tell direct proportion from inverse.

  1. 1.A store of food lasts 20 cows for 6 days. How long would the same store last 15 cows, in days?

  2. 2.Which of these pairs are in direct proportion?

    • a) The number of taps filling a tank and the time it takes
    • b) The number of pens bought and the total cost
    • c) The number of workers and the days needed to finish a job
    • d) The speed of a car and the time it takes on a fixed journey

  3. 3.A machine fills 350 bottles in 5 minutes. How many bottles does it fill in 8 minutes?

  4. 4.7 workers build a wall in 12 days. Working at the same rate, how long would 14 workers take, in days?

  5. 5.If 5 notebooks cost $150, what do 8 notebooks cost? Give just the number.

  6. 6.12 identical bricks weigh 30 lb. What do 20 of those bricks weigh, in pounds?

  7. 7.A car travels 240 miles in 4 hours. How far does it travel in 1 hour, in miles?

  8. 8.Sort each pair of quantities by the way they vary together.

    Groups: Direct proportion · Inverse proportion

    • Speed of a car and the time for a fixed journey
    • Weight of rice bought and its cost
    • Number of taps filling a tank and the time taken
    • Number of workers and the days to finish a job
    • Distance traveled and time taken at a steady speed
    • Number of books bought and the total cost

The unitary method · Grade 7 Math · www.arenapublications.com/learn

Grade 7 Math · 5 of 14

Profit and loss

Work out profit, loss and discount, and give a profit or loss as a percentage of the cost price.

  1. 1.A watch marked at $2000 is sold with a discount of 15%. What is the selling price? Give just the number.

  2. 2.A shopkeeper buys a chair for $600 and sells it for $750. What is the profit? Give just the number.

  3. 3.Put these sales in order of profit per cent, smallest first.

    • Bought for $80, sold for $100
    • Bought for $50, sold for $60
    • Bought for $200, sold for $220
    • Bought for $40, sold for $60
    • Bought for $100, sold for $105

  4. 4.A toy costs $450 and is sold at a profit of $90. What is the profit per cent? Give just the number.

  5. 5.An item is sold for exactly what it cost. What is the profit per cent?

    • a) 0
    • b) There is no way to tell
    • c) 100
    • d) 50

  6. 6.Profit per cent is always worked out as a percentage of...

    • a) the selling price
    • b) the profit
    • c) the cost price
    • d) the discount

  7. 7.A trader buys a bag for $800 and sells it at a profit of 25%. What is the selling price? Give just the number.

  8. 8.Sort each sale by whether it made a profit or a loss.

    Groups: Profit · Loss

    • Bought for $200, sold for $250
    • Bought for $500, sold for $450
    • Bought for $1000, sold for $950
    • Bought for $40, sold for $44
    • Bought for $90, sold for $120
    • Bought for $75, sold for $60

Profit and loss · Grade 7 Math · www.arenapublications.com/learn

Grade 7 Math · 6 of 14

Simple interest

Work out simple interest and the total amount, and find the rate or the time when the interest is known.

  1. 1.Find the simple interest on $1200 at 10% per year for 1 year. Give just the number.

  2. 2.In a simple interest question, what does the rate tell you?

    • a) The interest earned on every 100 of the principal in one year
    • b) The number of years the money is kept for
    • c) The total interest over the whole time
    • d) The amount borrowed at the start

  3. 3.The simple interest on $2500 for 4 years is $500. What is the rate per cent per year? Give just the number.

  4. 4.$4000 is borrowed at 6% per year for 3 years. What is the total amount to be paid back? Give just the number.

  5. 5.Find the simple interest on $5000 at 8% per year for 2 years. Give just the number.

  6. 6.The simple interest on $800 at 5% per year is $200. For how many years was the money invested?

  7. 7.In every row the principal is $1000 and the rate is 10% per year. Match each length of time to the simple interest it earns.

    • 1 year
    • 2 years
    • 3 years
    • 5 years
    • 500
    • 100
    • 300
    • 200

  8. 8.Find the simple interest on $600 at 12% per year for 5 years. Give just the number.

Simple interest · Grade 7 Math · www.arenapublications.com/learn

Grade 7 Math · 7 of 14

Discount and tax

Work out a discount, a sale price, and the price once tax has been added.

  1. 1.Which of these offers takes the most off an item marked $1000?

    • a) A discount of one fifth
    • b) A discount of 30 per cent
    • c) 10 per cent off, and then 10 per cent off again
    • d) $250 off

  2. 2.A toy costs $600 before tax. With tax of 5 per cent added, what is the total to pay? Give just the number.

  3. 3.A jacket marked $2000 is sold for $1700. What is the discount as a percentage? Give just the number.

  4. 4.Match each marked price to its sale price after a discount of 20 per cent.

    • $150
    • $250
    • $400
    • $600
    • $900
    • $480
    • $120
    • $720
    • $200
    • $320

  5. 5.A shirt is marked $800 and is sold at a discount of 15 per cent. How much is taken off the marked price? Give just the number.

  6. 6.A shop takes 10 per cent off an item marked $500, then adds tax of 10 per cent to the reduced price. What is the final price? Give just the number.

  7. 7.After a discount of 20 per cent, a lamp sells for $960. What was its marked price? Give just the number.

  8. 8.A discount of 20 per cent followed by a further 20 per cent off the new price is the same as one single discount of how much?

    • a) 36 per cent
    • b) 44 per cent
    • c) 30 per cent
    • d) 40 per cent

Discount and tax · Grade 7 Math · www.arenapublications.com/learn

Grade 7 Math · 8 of 14

Algebraic expressions

Identify terms and coefficients, collect like terms and evaluate an expression.

  1. 1.Which of these is a like term of 5pq?

    • a) -2pq
    • b) 5p + q
    • c) q
    • d) 5p

  2. 2.Simplify 3x + 5x.

    • a) 2x
    • b) 15x
    • c) 8
    • d) 8x

  3. 3.Find the value of a × a + 2 when a = 3.

  4. 4.Sort each term by whether it is a like term of 4x.

    Groups: Like term of 4x · Not a like term of 4x

    • -9x
    • 7x
    • 9
    • 4xy
    • x
    • 4y

  5. 5.Simplify 5x + 3y - 2x + y.

    • a) 7x + 4y
    • b) 7xy
    • c) 3x + 2y
    • d) 3x + 4y

  6. 6.What is the coefficient of x in the expression 4x - 9?

  7. 7.How many terms are there in the expression 3x + 2y - 7?

  8. 8.Find the value of 2x + 3 when x = 4.

Algebraic expressions · Grade 7 Math · www.arenapublications.com/learn

Grade 7 Math · 9 of 14

Powers and exponents

Read and write a power, work out its value, and use the laws for multiplying and dividing powers of the same base.

Before you start

This line runs to thirty-two in twos. Find 2, 4, 8, 16 and 32 on it, and see how far apart they get.

08162432

Each of those is double the one before, so every jump is as long as the whole walk that came before it. A power grows far faster than the small numbers writing it suggest.

  1. 1.10⁵ ÷ 10² is the same as which single power?

    • a) 10⁷
    • b) 10²
    • c) 10¹⁰
    • d) 10³

  2. 2.What is 6²?

  3. 3.Which is larger: 2⁵ or 5²?

    • a) There is no way to tell
    • b) 2⁵
    • c) 5²
    • d) They are equal

  4. 4.Match each number to the power of 10 it is equal to.

    • 1
    • 10
    • 100
    • 1000
    • 10000
    • 10¹
    • 10³
    • 10²
    • 10⁰
    • 10⁴

  5. 5.7⁴ × 7³ is the same as which single power?

    • a) 7⁷
    • b) 7¹
    • c) 49⁷
    • d) 7¹²

  6. 6.Which power means the same as 3 × 3 × 3 × 3?

    • a) 3⁴
    • b) 4³
    • c) 3⁵
    • d) 3 × 4

  7. 7.What is 10³?

  8. 8.81 is 3 to some power. What is that power?

Powers and exponents · Grade 7 Math · www.arenapublications.com/learn

Grade 7 Math · 10 of 14

Lines and angles

Use complementary, supplementary, vertically opposite and parallel-line angle facts.

Before you start

Two straight lines cross, and only one of the four angles they make has been given to you. Find out how big each of the others is.

1234
  1. 1. 70° — given
  2. 2. 110° — supplementary
  3. 3. 70° — opposite
  4. 4. 110° — also opposite

Going round the crossing the angles read 70, 110, 70, 110. Each neighboring pair sits on a straight line and adds to 180°, and each opposite pair is equal — which is the same fact told twice.

  1. 1.Two angles sit on a straight line, and one is three times the other. How big is the smaller one, in degrees?

  2. 2.Parallel lines are cut by a transversal. One co-interior angle is 115°. What is the other, in degrees?

  3. 3.Two angles are complementary. One of them is 65°. What is the other, in degrees?

  4. 4.Three angles sit side by side on a straight line. Two of them are 45° and 85°. What is the third, in degrees?

  5. 5.Two angles are supplementary. One of them is 110°. What is the other, in degrees?

  6. 6.Angles round a point add up to how many degrees?

  7. 7.When two straight lines cross, the two angles directly opposite each other are always...

    • a) supplementary
    • b) equal
    • c) complementary
    • d) right angles

  8. 8.Sort each angle as acute or obtuse.

    Groups: Acute · Obtuse

    • 78°
    • 12°
    • 170°
    • 35°
    • 92°
    • 145°

Lines and angles · Grade 7 Math · www.arenapublications.com/learn

Grade 7 Math · 11 of 14

Mensuration

Find areas of trapeziums and circles, and volumes and surface areas of cuboids and cylinders.

  1. 1.A trapezium has parallel sides of 10 inches and 6 inches, and a height of 4 inches. What is its area, in square inches?

  2. 2.A cylinder has a radius of 7 inches and a height of 10 inches. Take π = 22/7. What is its total surface area, in square inches?

  3. 3.A cylinder has a radius of 7 inches and a height of 10 inches. Take π = 22/7. What is its curved surface area, in square inches?

  4. 4.A circle has a radius of 14 inches. Take π = 22/7. What is its circumference, in inches?

  5. 5.Sort each formula by what it measures.

    Groups: Measures area · Measures volume

    • π × r × r
    • π × r × r × h
    • length × width × height
    • 2 × π × r × h
    • length × width
    • edge × edge × edge

  6. 6.A cuboid is 12 inches long, 8 inches wide and 5 inches tall. What is its volume, in cubic inches?

  7. 7.A circle has a radius of 14 inches. Take π = 22/7. What is its area, in square inches?

  8. 8.A cube has edges of 5 inches. What is its volume, in cubic inches?

Mensuration · Grade 7 Math · www.arenapublications.com/learn

Grade 7 Math · 12 of 14

Symmetry

Count lines of symmetry, find the order of rotational symmetry, and work out the smallest turn that leaves a shape looking the same.

  1. 1.How many lines of symmetry does a square have?

  2. 2.What is the order of rotational symmetry of an equilateral triangle?

  3. 3.How many lines of symmetry does a regular hexagon have?

  4. 4.Which of these has rotational symmetry of order 2 but no line of symmetry at all?

    • a) A square
    • b) An equilateral triangle
    • c) The letter A
    • d) The letter S

  5. 5.Put these regular shapes in order by how many lines of symmetry they have, fewest first.

    • Regular hexagon
    • Equilateral triangle
    • Regular octagon
    • Square
    • Regular pentagon

  6. 6.Match each shape to the number of lines of symmetry it has.

    • Scalene triangle
    • Isosceles triangle
    • Rectangle that is not a square
    • Equilateral triangle
    • Square
    • 1
    • 2
    • 4
    • 3
    • 0

  7. 7.A shape has rotational symmetry of order 5. What is the smallest turn that leaves it looking the same, in degrees?

  8. 8.How many lines of symmetry does an equilateral triangle have?

Symmetry · Grade 7 Math · www.arenapublications.com/learn

Grade 7 Math · 13 of 14

Probability

Work out the probability of a simple event and of it not happening.

  1. 1.A card is drawn from a full pack of 52. What is the probability it is red? Give your answer as a fraction.

  2. 2.The probability that it rains tomorrow is 0.3. What is the probability that it does not rain?

  3. 3.A bag holds 3 red balls and 5 blue balls. One is taken out without looking. What is the probability it is red? Give your answer as a fraction.

  4. 4.A fair die is rolled. What is the probability of getting a 4? Give your answer as a fraction.

  5. 5.A fair die is rolled. What is the probability of getting a number greater than 4? Give your answer as a fraction.

  6. 6.A fair coin is tossed. What is the probability of getting a head? Give your answer as a fraction.

  7. 7.What is the probability of an event that is certain to happen?

    • a) 0.5
    • b) 1
    • c) It depends on the event
    • d) 0

  8. 8.A card is drawn from a full pack of 52. What is the probability it is a king? Give your answer as a fraction.

Probability · Grade 7 Math · www.arenapublications.com/learn

Grade 7 Math · 14 of 14

Chance and probability

Say how likely an event is, and write its probability as a fraction.

Before you start

Every chance there is sits somewhere on this line, from impossible at one end to certain at the other. Move along it.

0.00.51.0

0.5 in the middle is an even chance — as likely to happen as not. To the left of it things are unlikely and to the right they are likely, and nothing at all lives past the two ends.

  1. 1.A box holds 4 green, 6 yellow and 10 white counters. One is drawn without looking. What is the probability that it is yellow? Write your answer as a fraction.

  2. 2.A fair die numbered 1 to 6 is rolled. Which of these is impossible?

    • a) Getting an odd number
    • b) Getting a number less than 3
    • c) Getting a 7
    • d) Getting a 6

  3. 3.A bag holds 5 red balls and 3 blue balls. One is drawn without looking. What is the probability that it is red? Write your answer as a fraction.

  4. 4.A fair die numbered 1 to 6 is rolled. What is the probability of getting an even number? Write your answer as a fraction.

  5. 5.A spinner has 8 equal sections numbered 1 to 8. What is the probability of landing on a number greater than 5? Write your answer as a fraction.

  6. 6.Sort each event by how likely it is.

    Groups: Impossible · Possible but not certain · Certain

    • Drawing a red ball from a bag of only red balls
    • Drawing a blue ball from a bag of only red balls
    • Tossing a fair coin and getting a tail
    • Rolling an even number on a die numbered 1 to 6
    • Rolling a 7 on a die numbered 1 to 6
    • Rolling a number below 7 on a die numbered 1 to 6

  7. 7.An event that is certain to happen has which probability?

    • a) 100
    • b) 0
    • c) 1
    • d) 1/2

  8. 8.A fair die numbered 1 to 6 is rolled. Match each event to its probability.

    • Rolling a 3
    • Rolling an odd number
    • Rolling a number above 4
    • Rolling a number below 7
    • Rolling a 9
    • 1/6
    • 0
    • 1/3
    • 1/2
    • 1

Chance and probability · Grade 7 Math · www.arenapublications.com/learn

Answer keys — Grade 7 Math

In the same order as the worksheets.

Multiplying and dividing integers

  1. 1. -8
  2. 2. -4
  3. 3. 9
  4. 4. -27
  5. 5. -24
  6. 6. -8
  7. 7. -8
  8. 8. 21

Rational numbers

  1. 1. 3/4 → -3/4; -2/5 → 2/5; 1/2 → -1/2; -7 → 7; 5/6 → -5/6
  2. 2. 5/8
  3. 3. -1.25
  4. 4. -0.5
  5. 5. b) Because it can be written as a fraction with 1 on the bottom
  6. 6. 1. -3/2 2. -1 3. -1/4 4. 0 5. 2/5 6. 1
  7. 7. -5/6
  8. 8. -1/2

Properties of rational numbers

  1. 1. c) Multiplication of rational numbers is commutative
  2. 2. -1.75
  3. 3. 3/4
  4. 4. 5/12
  5. 5. -9/7
  6. 6. 2/7 → -2/7; -5/9 → 5/9; 3/4 → -3/4; -11/6 → 11/6; 8/3 → -8/3
  7. 7. 8/9
  8. 8. a) Division, when you divide by zero

The unitary method

  1. 1. 8
  2. 2. b) The number of pens bought and the total cost
  3. 3. 560
  4. 4. 6
  5. 5. 240
  6. 6. 50
  7. 7. 60
  8. 8. Number of books bought and the total cost → Direct proportion; Number of taps filling a tank and the time taken → Inverse proportion; Distance traveled and time taken at a steady speed → Direct proportion; Speed of a car and the time for a fixed journey → Inverse proportion; Number of workers and the days to finish a job → Inverse proportion; Weight of rice bought and its cost → Direct proportion

Profit and loss

  1. 1. 1700
  2. 2. 150
  3. 3. 1. Bought for $100, sold for $105 2. Bought for $200, sold for $220 3. Bought for $50, sold for $60 4. Bought for $80, sold for $100 5. Bought for $40, sold for $60
  4. 4. 20
  5. 5. a) 0
  6. 6. c) the cost price
  7. 7. 1000
  8. 8. Bought for $200, sold for $250 → Profit; Bought for $500, sold for $450 → Loss; Bought for $90, sold for $120 → Profit; Bought for $1000, sold for $950 → Loss; Bought for $75, sold for $60 → Loss; Bought for $40, sold for $44 → Profit

Simple interest

  1. 1. 120
  2. 2. a) The interest earned on every 100 of the principal in one year
  3. 3. 5
  4. 4. 4720
  5. 5. 800
  6. 6. 5
  7. 7. 1 year → 100; 2 years → 200; 3 years → 300; 5 years → 500
  8. 8. 360

Discount and tax

  1. 1. b) A discount of 30 per cent
  2. 2. 630
  3. 3. 15
  4. 4. $150 → $120; $250 → $200; $400 → $320; $600 → $480; $900 → $720
  5. 5. 120
  6. 6. 495
  7. 7. 1200
  8. 8. a) 36 per cent

Algebraic expressions

  1. 1. a) -2pq
  2. 2. d) 8x
  3. 3. 11
  4. 4. 7x → Like term of 4x; x → Like term of 4x; -9x → Like term of 4x; 4y → Not a like term of 4x; 4xy → Not a like term of 4x; 9 → Not a like term of 4x
  5. 5. d) 3x + 4y
  6. 6. 4
  7. 7. 3
  8. 8. 11

Powers and exponents

  1. 1. d) 10³
  2. 2. 36
  3. 3. b) 2⁵
  4. 4. 1 → 10⁰; 10 → 10¹; 100 → 10²; 1000 → 10³; 10000 → 10⁴
  5. 5. a) 7⁷
  6. 6. a) 3⁴
  7. 7. 1000
  8. 8. 4

Lines and angles

  1. 1. 45
  2. 2. 65
  3. 3. 25
  4. 4. 50
  5. 5. 70
  6. 6. 360
  7. 7. b) equal
  8. 8. 35° → Acute; 92° → Obtuse; 78° → Acute; 145° → Obtuse; 12° → Acute; 170° → Obtuse

Mensuration

  1. 1. 32
  2. 2. 748
  3. 3. 440
  4. 4. 88
  5. 5. π × r × r → Measures area; length × width → Measures area; 2 × π × r × h → Measures area; length × width × height → Measures volume; π × r × r × h → Measures volume; edge × edge × edge → Measures volume
  6. 6. 480
  7. 7. 616
  8. 8. 125

Symmetry

  1. 1. 4
  2. 2. 3
  3. 3. 6
  4. 4. d) The letter S
  5. 5. 1. Equilateral triangle 2. Square 3. Regular pentagon 4. Regular hexagon 5. Regular octagon
  6. 6. Scalene triangle → 0; Isosceles triangle → 1; Rectangle that is not a square → 2; Equilateral triangle → 3; Square → 4
  7. 7. 72
  8. 8. 3

Probability

  1. 1. 1/2
  2. 2. 0.7
  3. 3. 3/8
  4. 4. 1/6
  5. 5. 1/3
  6. 6. 1/2
  7. 7. b) 1
  8. 8. 1/13

Chance and probability

  1. 1. 3/10
  2. 2. c) Getting a 7
  3. 3. 5/8
  4. 4. 1/2
  5. 5. 3/8
  6. 6. Rolling a 7 on a die numbered 1 to 6 → Impossible; Tossing a fair coin and getting a tail → Possible but not certain; Rolling a number below 7 on a die numbered 1 to 6 → Certain; Drawing a red ball from a bag of only red balls → Certain; Drawing a blue ball from a bag of only red balls → Impossible; Rolling an even number on a die numbered 1 to 6 → Possible but not certain
  7. 7. c) 1
  8. 8. Rolling a 3 → 1/6; Rolling an odd number → 1/2; Rolling a number above 4 → 1/3; Rolling a number below 7 → 1; Rolling a 9 → 0

Grade 7 Math · www.arenapublications.com/learn