5 points for each problem answered correctly
- Tim’s trip
It’s 7km from Tim’s house to where his Grandma lives.
It’s uphill on the way there so he can only cycle at 14kph but he can do 21kph on the way back.
Tim leaves his house at 6pm.
How long can he stop at his Grandma’s house if he wants to be back home for his favourite TV programme at 7pm?
14km is an hour, but he is only travelling 7km which is half of an hour (30 minutes) It takes him 30 minutes to get to Grandma's house and the trip back home takes ⅓ of an hour (20 minutes). 30 + 20 = 50 minutes. He spends 10 minutes with his grandma which means he will miss his tv show. (30 + 20 + 10 = 60 - 1 hour) So he’ll arrive back at home at 7:20pm.
2. The treasure map
Captain Blackheart buries his treasure but loses his treasure map! But all is not lost. His trusty crew remember different bits of the map.
"I remember drawing it with 5 squares each way", says the Captain.
"There was a row of three trees running due East from the square (1,1)", Peg Leg Pete says. "You put each one of them on a different square."
"Weren’t there four granite boulders going due South from (5,5)?" John asks. "I think you put one of them each in a square too."
"Ah!. Now I remember!" yells the Captain. "I buried the treasure half way between the first rock and the most western tree!"
Where is the treasure?
3. Lollies, lollies, lollies
On Monday, Sam, Sonny and Sylvia share some lollies that they've been given.
Sonny was given twice as many lollies as Sam.
Sylvia was given three times as many lollies as Sam.
They are given the same number of lollies each day up to (and including) Friday.
If Sylvia got a total of 18 lollies on Tuesday and Wednesday, how many lollies did Sonny get for the whole five days?
How many lollies would Sam need to get on Saturday if he wanted to have 39 lollies altogether?
She has got a total of 18 lollies on Tuesday and Wednesday.
That means that she has got a total of 9 lollies each day. Sylvia gets 3x more
that what Sam gets so he gets 3 lollies a day. (93 = 3) Sony has 2x as much candy
as sam so she gets 6 lollies per day. (2 x 3 = 6)
That means that she has got a total of 9 lollies each day. Sylvia gets 3x more
that what Sam gets so he gets 3 lollies a day. (93 = 3) Sony has 2x as much candy
as sam so she gets 6 lollies per day. (2 x 3 = 6)
In 5 days Sony would get 30 lollies (6 x 5 - 30) Sam gets 15 (3 x 5 = 15) and
needs 24 lollies on Saturday. (15 + 24 = 39)
needs 24 lollies on Saturday. (15 + 24 = 39)
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