Problem solving
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.
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?
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.
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.
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."
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."
"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!"
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?
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?
39 lollies altogether?
Sylvia 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 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)
Measurement
One point for each correct answer
Measurement
1 km = 1000 m
3 metres = 3000 mm
1.5 tonnes = 1500 kg
13 hours = 46800 seconds
2 years = 730 days
1.25 litres = 1250 ML
1 leap year = 366 days
2 fortnights = 22 days
1 week = (24 x 7) = 168 hours
Numeracy
How many hundredths in 3.5?
Answer = 350
How many tenths in 89?
Answer = 80
How many thousandths in 2.4?
Answer = 0
7.33 + 0.98 = 831
.89 - .7 = 0.19
3.23 - 1.65 = 158
8.54 - 2.79 = 575
.5 X 6 = 3
.8 X 3 = 2.4
¾ of 120 = (30 x 4 = 60 x 2 = 120) = 30
5/7 of 350 = 250
⅔ of 180 = 120.
Geometry
What is this shape? 
Pentagon
What is this shape? 
Heptagon
Draw an octagon
- my drawing of a octagon
Draw a hexagon
- my drawing of hexagon
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