Table 1 Problems selected as the...

Table 1

Problems selected as the starting point for planning, implementation, and reflection

Problem	Solution frequency (National average)	Group
Ball throwing at the market	40%	1
At the market, Maja throws three balls to earn points
The number of points she gets depends on which holes she throws the balls through
A ball through the smallest hole gives her five times as many points as the biggest hole A ball through the middle hole gives her twice as many points as the biggest hole If she throws one ball through each hole, she gets 120 points
How many points does Maja get if she throws a ball through the smallest hole?
Cinnamon roll makers	47%	2
Alice, Samira, Viktor and Robin make cinnamon rolls for the exhibition
Alice makes half of all the rolls Samira makes 1/4 of all the rolls Viktor makes half as many rolls as Samira Robin makes 24 rolls
How many rolls do they make all together?
Nuts, bolts, and screws	32%	3
In a box there are nuts, bolts and screws
There are
3 times as many screws as nuts 32 more bolts than nuts a total of 782 nuts, screws and bolts
How many screws are there in the box?
Cafe shopping	64%	4
Samira buys 2 cookies and 3 buns in the café. She pays SEK 54
Leo buys 4 soft drinks. He pays SEK 60
Kevin buys 2 soft drinks and 1 bun. He pays SEK 42
How much does 1 cookie cost?
Sweet production and ingredients	55%; 18%	5
a) Kevin and Maja are making sweets that the class will sell.
A packet of dextrose contains 1 kg
How many sweets can you make from this?
b) They have 360 g of sugar that they want to use to make sweets.
How much dextrose do they need?
The village animal count	22%	6
In the village there were four different types of animals: pigs, sheep, chickens and cows.
Every fourth animal was a pig One out of eight animals was a sheep Half of the animals were chickens The rest of the animals were cows. There were 50 cows
How many animals of each type were there in the village?

Problem		Solution frequency (National average)	Group
Ball throwing at the market		40%	1
At the market, Maja throws three balls to earn points
The number of points she gets depends on which holes she throws the balls through
A ball through the smallest hole gives her five times as many points as the biggest hole A ball through the middle hole gives her twice as many points as the biggest hole If she throws one ball through each hole, she gets 120 points
How many points does Maja get if she throws a ball through the smallest hole?
Cinnamon roll makers		47%	2
Alice, Samira, Viktor and Robin make cinnamon rolls for the exhibition
Alice makes half of all the rolls Samira makes 1/4 of all the rolls Viktor makes half as many rolls as Samira Robin makes 24 rolls
How many rolls do they make all together?
Nuts, bolts, and screws		32%	3
In a box there are nuts, bolts and screws
There are
3 times as many screws as nuts 32 more bolts than nuts a total of 782 nuts, screws and bolts
How many screws are there in the box?
Cafe shopping		64%	4
Samira buys 2 cookies and 3 buns in the café. She pays SEK 54
Leo buys 4 soft drinks. He pays SEK 60
Kevin buys 2 soft drinks and 1 bun. He pays SEK 42
How much does 1 cookie cost?
Sweet production and ingredients	A recipe card listing ingredients for 60 sweets, including sugar, dextrose, water, citric acid, colouring, and pear essence.The recipe card displays a list of ingredients for making sweets inside a rectangular panel with a decorative dotted border. At the top, the heading reads “RECIPE”. Below it appears the subtitle “60 sweets”. The ingredient list follows in separate lines: “450 grams sugar”, “125 grams dextrose”, “1 dl water”, “2 tsp citric acid”, “2 ml caramel colouring”, and “1,5 ml pear essence”. On the bottom right side of the card are small decorative illustrations of wrapped candies.	55%; 18%	5
a) Kevin and Maja are making sweets that the class will sell.
A packet of dextrose contains 1 kg
How many sweets can you make from this?
b) They have 360 g of sugar that they want to use to make sweets.
How much dextrose do they need?
The village animal count		22%	6
In the village there were four different types of animals: pigs, sheep, chickens and cows.
Every fourth animal was a pig One out of eight animals was a sheep Half of the animals were chickens The rest of the animals were cows. There were 50 cows
How many animals of each type were there in the village?

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