Net — Grade 7 Accelerated, what it means and where it is taught
A 3-D shape unfolded flat.
Taught in Grade 7 Accelerated.
Where it is taught
Practise this idea
4 questions in the course bank use Net, in Proportional Reasoning with Percents, Plane Sections of 3-D Figures, Problem Solving.
Problem 1
A price goes up 20%, then down 20%. The final price is what percent of the original?
Worked answer
96
Up 20%: multiplier 1.20
Down 20%: multiplier 0.80
1.20 × 0.80 = 0.96 = 96%
A 4% net decrease — the two changes are measured from different starting points.
Problem 2
A cube net is a row of four squares A, B, C, D, with E above B and F below B. Which face ends up opposite A?
- B
- C
- D
- E
Worked answer
C
Folding a row of four wraps it into a band
A and C are two apart, so they face each other
Likewise B opposite D, and E opposite F.
Problem 3
How many distinct nets can fold into a cube?
- 6
- 8
- 11
- 14
Worked answer
11
There are exactly 11 distinct cube nets
Six have a row of four squares; the rest use rows of three or a staircase.
Problem 4
A frog at the bottom of a 10 ft well climbs 3 ft each day and slips back 2 ft each night. On which day does it get out?
Worked answer
8
Net gain is 1 ft per full day
After 7 days it starts the day at 7 ft
On day 8 it climbs 3 ft to 10 ft and is out — before slipping
So 8 days, not 10.