1. On the Farm Jake keeps goats and ducks He has 20 of them altogether His animals have 54 feet between them How many goats does Jake have?

2. Rounders A school’s rounders team has played five matches and won four of them The team’s highest score in a match was 5 Their lowest score was 2 Their median score was 4 What could the team’s five scores be?

3. What Nationality? Amy, Bob & Cathy are three friends One of them is English, one is Scottish and one is Welsh They asked their teacher to guess their nationalities. The teacher said: “Amy is English. Bob is not English. Cathy is not Welsh.” Only one of the teacher’s statements is correct. What nationalities are Amy, Bob & Cathy?

4. Ice Creams Ross, Sam & Tim are brothers Their corner shop sells three kinds of ice cream - strawberry, vanilla and banana Each brother likes only two of the ice creams Each kind of ice cream is liked by only two of the brothers Sam said “Ross likes strawberry and I don’t like banana” Which ice creams does Tim like?

5. Badminton Game Amy, Beth, Claudia & Donna like to play badminton together but cannot all be free to play on the same day. Amy is unable to play on Tuesdays, Wednesdays & Saturdays. Beth is free to play on Mondays, Wednesdays & Thursdays. Claudia has to stay home on Mondays & Thursdays. Donna can play on Mondays, Tuesdays & Fridays. None of them plays on Sundays. 1 of 2

6. Badminton Game Can each pair find a day on which to play? Are there any days on which no games can be played? Are there any days when more than one game can be played? What if they can only get one court on any one day? How many games can they fit into a week? 2 of 2

7. Square Areas The midpoints of the sides of a square are joined to make a smaller square in a continuing pattern. The area of the smallest white square is 3cm 2 What is the area of the largest white square?

8. Dotty Squares The diagram shows a 4 by 4 array of dots How many different squares can you draw on the array in such a way that each corner of each square lies on the dots?

9. Dice Each of these shapes can be folded to make a cube For each shape, number the squares so that opposite faces of the cube add up to 7