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© Copyright Root 7 Educational Services, created by Jim, Marg, and Sorrel.
Question:
I am thinking of a number.
What number am I thinking of?
Determine the number if I multiply by 3 then add 6.
© Copyright Root 7 Educational Services, created by Jim, Marg, and Sorrel.
W2
I add 6 to the number then
multiply the result by 3 to
get an answer of 24.
x close
Hint
 One way to solve the problem is to start at the end and work back to the beginning.
 What was the last step to get the answer 24?
 How did you get this number from the original number?
(Remember: subtraction is the opposite operation of addition)
 What was the original number?
Determine the number if I multiply by 3 then add 6.
Hint Mystery Number
© Copyright Root 7 Educational Services, created by Jim, Marg, and Sorrel.
W2
 What number did you multiply by 3?
(Remember: division is the opposite operation of multiplication)
Answer
2
Question Recap
I am thinking of a number.
I add 6 to the number then multiply the result by 3 to
get an answer of 24.
What number am I thinking of?
Xtra
Determine the number if I multiply by 3 then add 6.
6
© Copyright Root 7 Educational Services, created by Jim, Marg, and Sorrel.
W2
Xtra Answer
Question:
180 cm of string is used to
make each of the following
regular polygons.
c) Hexagon
d) Rhombus
What is the side length of
each polygon?
What about an octagon, a nonagon, and a decagon?
© Copyright Root 7 Educational Services, created by Jim, Marg, and Sorrel.
M3
a) Triangle
b) Pentagon
x close
Hint
 Xtra: The octagon has 8 equal sides, the nonagon has 9 equal sides, and the
decagon has 10 equal sides.
What about an octagon, a nonagon, and a decagon?
© Copyright Root 7 Educational Services, created by Jim, Marg, and Sorrel.
M3
 The triangle has 3 equal sides, the rhombus has 4 equal sides, the hexagon
has 6 equal sides, and the pentagon has 5 equal sides.
 If you know the total length of string and the number of sides, how would you
find the length of each side?
Answers
a) 60 cm
b) 36 cm
Question Recap
180 cm of string is used to make each of the
following regular polygons.
c) 30 cm
What is the side length of each polygon?
Xtra
What about an octagon, a nonagon, and a decagon?
Xtra Answers
22.5 cm, 20 cm, 18 cm
© Copyright Root 7 Educational Services, created by Jim, Marg, and Sorrel.
M3
d) 45 cm
a) Triangle
b) Pentagon
c) Hexagon
d) Rhombus
Question:
A skeleton is constructed
using 9 identical sticks and
any number of marshmallows.
3D G4
Describe and sketch the
possible skeletons.
Repeat using 12 sticks.
© Copyright Root 7 Educational Services, created by Jim, Marg, and Sorrel.
x close
Hint
3D G4
 Think of prisms and pyramids. It might help to build skeletons.
Repeat using 12 sticks.
© Copyright Root 7 Educational Services, created by Jim, Marg, and Sorrel.
Answers
triangular prism
Question Recap
A skeleton is constructed using 9 identical sticks and
any number of marshmallows.
Xtra
Repeat using 12 sticks.
triangular
pyramid
Xtra Answers
square pyramid, 2 triangular
pyramids, cube
© Copyright Root 7 Educational Services, created by Jim, Marg, and Sorrel.
3D G4
Describe and sketch the possible skeletons.
Question:
When
the spinner is spun...
Question:
what is the probability
the spinner will stop on the
following?
b) a green prime number
c) any yellow or
blue even number
What is the probability the spinner will stop on a
number that is not red and not even?
© Copyright Root 7 Educational Services, created by Jim, Marg, and Sorrel.
PR1
a) a red even number
x close
Hint
PR1
 What is the probability of an event occurring?
 Remember, by definition, 1 is not a prime number.
What is the probability the spinner will stop on a
number that is not red and not even?
© Copyright Root 7 Educational Services, created by Jim, Marg, and Sorrel.
Answers
a)
1
4
c)
1
4
b)
1
6
what is the probability the spinner will stop on the following?
a) a red even number
b) a green prime number
c) any yellow or blue even number
Xtra
What is the probability the spinner will stop on a number that
is not red and not even?
Xtra Answer
5
12
© Copyright Root 7 Educational Services, created by Jim, Marg, and Sorrel.
PR1
Question Recap
When the spinner is spun...