SatsMuncher 10 Last Monday was the Perfect Day for Amarjit in Year 9  - the birthday; the Maths Prize, the National Championships, the Schools Conference in Barbados ... But what about this Monday? TheYear 9 Nightmare: A MegaBite Revision Challenge Solve each of the 10 challenges in Amarjit's Nightmare Day. If you prefer, you can tackle the shortened version at the end of each question. Any Problems?  Remember, you can Ask an Expert

Q1.  8:00am - BREAKFAST Amarjit likes his Choco-Weeto-Fix Flakes for breakfast.  His dad has carefully emptied the family's favourite cereal packets into 12 identical storage boxes.  Five of them have Choco-Weeto-Fix Flakes.  Sleepy Amarjit picks one without looking.  What is the probability that he chooses his favourite cereal? OR: What is the probability of choosing (at random) a red counter from a bag of 12 counters (5 red and 7 blue)?  (from the SatsMuncher 2 Challenge)   Q2.  8:45am FROM BARBADOS TO BIRMINGHAM Registration time again in 9DS.  Mr. Sani cheerfully informs Amarjit that the Annual Schools Conference (he was chosen for last week) has been changed: from sunny Barbados to suburban Birmingham. Amarjit now has 10 days to raise the £27 conference fee.  Is this: A.  £0.27 per day? B.  £2.70 per day? C.  £2.07 per day? OR: What is 27 divided by 10?  (from the SatsMuncher 5 Challenge)   Q3.  9:00am - THE PRIZE Time for Year 9 assembly.  Pupils are asked to vote for Amarjit or Leah as Tuck Shop Officer - a highly prized role for hungry Year Nines. The chart shows the results: About what percentage said that they voted for Amarjit? OR : What percentage of this pie chart  represents Amarjit?  (from the SatsMuncher 8 Challenge)

Q4.  9:30am - THE MINI-GYM TIME SHARE Hey, PE - and Amarjit's favourite lesson, since becoming the school's star gymnast for the 2006 national championships.  He wanders off to his personal mini-gym ... Disaster! - he has to share with the School Gym team.  Now he only gets 20% of the 180 hours access to the gym ... and personal shower, sauna and vending machine.   How much time does Amarjit get? OR: What is 20% of 180? (from the SatsMuncher 3 Challenge)   Q5.  11:00am: SCHOOL ELECTION CHEATING? Last week's gripping vote for Amarjit as School Captain has been rejected due to new evidence of cheating.  Amarjit denies voting for himself 100 times.  He gets 6 hours detention anyway. The Head Teacher puts the other 25 candidates' names in a box.  He takes one out at random.  16 of the candidates are girls. What is the probability of choosing a boy? OR: If 16 out out 25 pupils are girls, what is the probability of choosing a boy at random? (from the SatsMuncher 2 Challenge)   Q6.  12:45 - LUCKY LUNCH-TIME? Despite the nightmare morning, Amarjit's hungry.  Unfortunately, he spills some baked beans onto the floor, slips and goes flying across the canteen into the Head Teacher's mushroom soup. As a punishment, Amarjit has to clean the canteen floor.   The Head says he can stop WHEN he's mopped EXACTLY NINE TENTHS of the floor. Is this: A.  0.09? B.  0.9? C.  0.99? D.  9.00? OR:  What is nine tenths as a decimal fraction? (from the SatsMuncher 3 Challenge)   Q7.  1:45pm - DESIGN DISASTER Last lesson is D & T.  Last week, Amarjit won Best Year 9 Modern Times Design for his CD tower. Everyone built a tower using his scale drawing. This week, everyone's towers have collapsed.   Why?  Because he wrote 7 cm instread of 6.5 cm on his scale drawing.  And he used the wrong scale.  Amarjit is not popular ... If 1 cm stands for 10 cm, what length should the pupils have used? OR: If 1 cm represents 10 m, what real distance does 6.5 cm represent? (from the SatsMuncher 7 Challenge)   Q8.  3:15pm: DISMAL DETENTION It's the end of the school day.  It's detention time.  No Computer Club.  No Penalty Shootout.  Amarjit is not feeling happy. His detention task: to arrange all 24 desks in each maths classrooms into  4 perfect rows of 6. He decides to do all the rectangles possible - except for the 4 x 6.  How many different arrangements are there? (Shall we agree that 4 x 6 and 6 x 4 are the same to avoid confusion?) OR: 24 squares can be arranged into a rectangle that is 3 x 8 (or 8 x 3.  How many other rectangles can be made? (from the SatsMuncher 4 Challenge)

Q9.  HOW LONG IS A PIECE OF STRING? Ms. Baritone, the Head of Maths, is furious about the classroom desks. She gives Amarjit one last chance with a maths challenge.  If he gets it right, he can cancel his detention: ' If I have a piece of string 6 metres long and I cut off one part, how much is left?' Fortunately, Amarjit attended every lesson on algebra.  He calls one unknown length 'y' and writes down a correct algebraic solution for the other.  Which solution did he submit: A.  6 - y cm ? B.  y - 6 cm ? C.  6 + y cm ? D.  3 cm ? OR: A piece of wood is 6 metres long.  One piece is y metres long.  How long is the other piece? (from the SatsMuncher 6 Challenge)   Q10.  CURTAINS FOR AMARJIT? Mr Simpson the Head Teacher sends for Amarjit.  His father is in the office.  Is it a three day exclusion - or one more chance?  Mr Simpson warns Amarjit that he has a probability of 80% of being excluded.  If this is true, what is the probability of NOT being excluded? Is it: (there's more than 1 answer!) 0.8 0.08 3/5 20/10 1/8 0.02 1/5 2% 2/8 2/10 1/4 20/80 8/100 1/8 20/100 0.2   OR: If the probability of winning a game is 80%, what is the probablility of losing?  Write answer as a fraction, decimal and a percentage. (from the SatsMuncher 2 Challenge)