1. Five Problems 1)I am 48 years, 48 weeks, 48 days and 48 hours old. How old am I? 2)Using any combination of , , +, - and all of the numbers 2, 5, 7 and 9 once only, make the number 36. How many solutions can you find? 3)Thirty equally spaced points on the circumference of a circle are labelled in order with the numbers 1 to 30. Which number is diametrically opposite to 7? 4)Using each of the digits 1, 3, 4 and 8 once and only once it is possible to make 24 four digit numbers. Find the two numbers that are divisible by 4 and not divisible by 8 and 16. 5)Which fruit is one third of a cherry and two fifths of an apple?

2. Five More Problems! 1)On a train there was 1 first class carriage, 1 buffet carriage and 4 second class carriages. In how many different ways can they be arranged if the second class carriages must be next to each other? 2)In a rectangular dance hall, how do you place ten chairs along the walls so that there are equal numbers of chairs along each wall. 3)Three different numbers written on cards are placed side by side. The first and second cards add up to 15. The second and third cards add up to 17. No card is a 7. No card is higher than 9. Write down the three numbers in order. 4)Ahmed said that Delia did it, Delia said that Bruce did it, Bruce said that Claire did it, Claire said that she didn’t do it and Eric confessed that he did do it. If Ahmed didn’t do it, one of the 5 did do it and if only one of them is telling the truth, who did it? 5)If I save 1p today, 2p tomorrow, 4p the next day and so on, doubling each day. How much will I have at the end of two weeks?

3. Area Problem The diagram shows a shaded square inside a larger square. Calculate the area of the shaded square. 14cm 3cm

4. What was the question … … if 13 was the answer?

5. You have five minutes to write down as many different types of sums giving the answer 7 as you possibly can. 1) 77 ÷ 11 = 2) 3 + 4 = 3) 4 2 - 3 2 = 4) How many pounds in half of a stone ?

6. Bangkok Patana School Faculty of Mathematics STARTER Year 7 Lesson 4 Add up all the numbers from 1 to 100. (There is a quick method.) Sum of The Century Try to add all the numbers from 1 to 10 and look for the quick method.

7. Number of Boys Asked for a Date Number of Dates Susie decides to asks every boy in the school for a date. Why might the graph look like this?