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• •••
• Cuboid nets • • • cuboids, 1 cm squared 21
paper or RMA, scissors
Work with others if you can. Playing a dice game, Tanya scored 145
and Jack scored 221 .
Nicola, Steven, Clare and Salim each tried to design a net for a cuboid.
When they folded the nets up, only three of them made a cuboid. They wanted to work out
Here are the four designs. the difference.

Nicola Tanya counted on like this: Jack counted back like this.
145~150 ~200 .:3!20 ~1 221 ~ 200 ..:!! 150.:.t145
Difference = 76
221.:.!t 145
OJ Count on like Tanya to find the difference between these scores.
: - Use as few arrows as you can. c 237 and 320
a 365 and 440
b 150 and 235
Isaurn d • 115 and 209 e 456 and 543 f 609 and 697
Count back like Jack to check your answers for OJ .
Copy and complete this table.

I ScoreS T<l.I'\::\O- Jo.ck d;~~Wte
Steven
c.,c..~'I.. I 234- 32b
<. 550 4-15
rn Together, decide whose net will not make a cuboid . 3 Iqo ~1g-
;,.. ... ,
4- 18'5
[[3 Make the four nets to see if you are correct.
5 4-1q 4-04-
CHALLENGE '" "L2.5 310
Remake the net which will not make a cuboid so that it works.
The player with the larger total in the difference column wins.
Change it as little as possible.
Who won? Show how you found out.

IT] IT]
Nicola's net will not make a cuboid Counting on to find the difference. Counting back to check answers
a 75 b 85 c 83 d q4 e 87 f 88 in 1.

Practical: making the four nets to confirm 1.
Scores Tanya Jack differences Jack won because he
Challenge scored more in Games
Game 1 234 326 q2 1 , 3, 4 and 6 (q2 + 88 +
2 550 475 75
Remake Nicola's net to form a cuboid. 56 + 87 = 323) than
3 1qO 278 88
4 185 241 56 Tanya, who scored
5 47q 404 75 more in Games 2 and
6 223 310 87 5 (75 + 75 = 150).