A Whole New World of Numbers
Interesting Integers
Fractured Fractions
Can-you-find-vas?
Lucky Dip
100
What is the place value of the 3 in 123,456,789?
3 million
100
Complete the following:
Positive x Positive = ???
Positive x Negative = ???
Negative x Positive = ???
Negative x Negative = ???
Positive x Positive = Positive
Positive x Negative = Negative
Negative x Positive = Negative
Negative x Negative = Positive
100
Solve the following:
2/3 xx 1/10
2/3 xx 1/10 = 2/30 = 1/15
100
On Canvas, go to the Study Tips page. In the top left corner is a template for a Study Timetable. How much time does each block represent?
30 minutes
100
What is the answer to the following problem?
10xx9xx8xx7xx6xx5xx4xx3xx2xx1xx0 = ?
0
(anything multiplied by 0 is 0!)
200
We use BODMAS to remember the order of operations. What does BODMAS stand for?
Brackets Of/Order Division Multiplication Addition Subtraction
200
Find the Lowest Common Multiple (LCM) of 6 and 8.
Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, ...
Multiples of 8 = 8, 16, 24, 32, 40, 48, ...
LCM(6,8) = 24
200
Solve the following problem, simplifying your answer if necessary:
3/10 + 4/6
3/10 + 4/6 = 9/30 + 20/30 = 29/30
200
On Canvas, go to the Topics page and then go to the Algebra page. At the bottom of the Introduction Page is a cartoon character. What is the name of this cartoon character?
Homer Simpson
200
The following maths words are misspelled. Give the correct spelling.
Noomyourateher & Deenormeenateher
Numerator & Denominator
300
What is 76 in Roman numerals?
76 = LXXVI
300
Find the Highest Common Factor (HCF) of 60 and 96.
Factors of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Factors of 96 = 1, 2, 3, 4, 6, 8, 12, 16, 19, 32, 48, 96
HCF(60,96) = 12
300
Solve the following:
3 1/4 - 2 2/5
3 1/4 - 2 2/5 = 13/4 - 12/5
= 65/20 - 48/20
= 17/20
300
On Canvas, go to the Assessment Revision page. Find the file labelled "Algebra and Equations Test 2021 Suggested Solutions". What are the answers to the first 3 questions?
D, B and C OR Dividing by 2, 50 cents, 12/x = 4
300
Find the value of a cone, a scoop of vanilla ice cream and a scoop of strawberry ice cream:
3x3x3=27, so Cone = 3.
2 cones + 2 vanilla = 10. Since cones = 3, 2x3 + 2 vanilla = 10, so Vanilla = 2
2 cones + 2 vanilla + strawberry = 11. Since 2 cones + 2 vanilla = 10, Strawberry = 1.OR
3 cones + 2 vanilla + 2 strawberry = 15. Since cones = 3 and vanilla =2, 3x3 + 2x2 + 2 strawberry = 15, so Strawberry = 1.
400
Find the value of the following using order of operations:
18 -2 xx (4+6) divide 5
18 -2 xx (4+6) divide 5
= 18 - 2 xx 10 divide 5
= 18 - 20 divide 5
= 18 - 4
= 14
400
For the number 90, draw a factor tree and then express 90 as a product of its prime factors.
Note: Other factor trees are possible, but will all have prime roots of 3, 3, 2 and 5.
400
Complete the following problem involving fractions:
1 2/3 divide 4 5/6
1 2/3 divide 4 5/6 = 5/3 divide 29/6
= 4/3 xx 6/29
= 24/87
= 8/29
400
On Canvas, go to the Support page. On this page is some information about Maths Study Hall. When does Maths Study Hall run? Where is Maths Study Hall held?
Maths study hall runs from 3:15-4:15pm on:
- Wednesdays in C201
- Thursdays in M153
400
What time does period 2 start on Fridays?
9:23am
500
One night, Chester and his brother Raph decide to have some fun at their father's lolly shop. In the shop, they find 7 tins each containing 135 jellybeans, 9 packets of 121 M&Ms, 12 jars of 70 smarties and 32 packets of 5 liquorice sticks.
Find the total number of lollies that Chester and Raph find that night.
Total = Jellybeans + Choc Buds + Smarties + Liquorice
= (7 x 135) + (9 x 121) + (12 x 70) + (32 x 5)
= 945 + 1089 + 840 + 160 = 3034
Chester and Raph find 3034 lollies that night.
500
Tahlia runs laps of a circuit in 4 minutes. Luka runs laps of the same circuit in 3 minutes. Ned can run laps of the same circuit in 6 minutes. They all start together on the starting line and run a race that goes for 36 minutes. Find the Lowest Common Multiple to determine when they will first cross over the starting line together (other than at the start)?
Tahlia = Multiples of 4 = 4, 8 ,12, 16, 20, 24, 28, 32, 36.
Luka = Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36.
Ned = Multiples of 6 = 6, 12, 18, 24, 30, 36.
LCM(3,4,6) = 12
They will all cross over the starting line after 12 minutes.
500
Michael has 1-third of a cake. Gabe has 1-quarter of a cake. Tom has 1-fifth of a cake. Tilda has 1-sixth of a cake. Dutchy has half of what Tom has. How much cake is leftover for everyone else?
Michael + Gabe + Tom + Tilda + Dutchy =
1/3 + 1/4 + 1/5 + 1/6 + (1/2 xx 1/5)
=20/60 + 15/60 + 12/60 + 6/60
=53/60
So 7/60 of the cake remains for everyone else.
500
On Canvas, download an offline PDF copy of the Year 7 Maths Textbook.pdf from either the Topics or Support pages. Use the Contents page to find the page numbers of the following exercises, and use these page numbers to Substitute and Evaluate the following problem:
(Ex 4G: Multiplying Fractions) - (Ex 1A: Ancient Numbers) x (Ex 1H: Estimating & Rounding Whole Numbers) + (Ex 5B: Substituting and Evaluating)
220 - 4 xx 40 + 268
= 220 - 160 + 268
= 60 + 268
= 328
500
How many minutes are there in a year?
60 mins x 24 hours x 365 days
= 525,600 minutes