Monthly Math Science Challenge - November Name: ____________________ School: __________________ Class: _______ 1.1 Simple Arithmetic 32+96 = …… 5x7 = ….. 105-87 = ….. 1,076-991 = ….. 15x9 = ….. 59x17/59 = ….. 13 16 − 2 4 37-45+18-9 = ….. 1x2x3x4x5 = …... 13 = ….... 4 8 1 2 4 1.3 Tom is three times the age of his brother who just turned four. In how many years will Tom double his brother’s years? ………………… 1.4 How many different permutations (different orders) does the number 123 have? (Example: 12 has 2 permutations: 12 and 21) ………………… 1.5 Two cities (A and B) are 300 miles apart. A train departs city A at noon going 50 miles/hour. The train from City B goes 75 miles/h and meets the first train at exactly half way. At what time does it depart? ……………. 1.6 Kim works at the grocery store for $7.20/hour. For how long does she have to work to buy a candy bar (60 cents)? ……………. 1.7 If 102 = 10 x 10 = 100, then 53 = …………….. 1.8 The ceiling in your house is 3 yards high. How many feet do you have? …… 1.7 More Arithmetic: 2 2 5 5 + 7 = … … .. 1 1 12 6 2 30 ∗( − + 32 15 100 = ……. 1 3 − 1 = …… 101 = …… + = 102/101 = …… 8 − = … .. 1.2 5 103 = ….. 75/5 = ….. 10,246+2,468 = …….….. 26x19.5 = …………. 1008/18 = ...….. 15+25+37+56+16 = …….. 10-20 = ….. 18+(-13) = ….. 1 − = ) = …………………………………… 4 − 1,000,000 = 10 ….. = ……… 5-6/6 = ……….. Section 2: Science Hypothesis: Proposed scientific model (explanation) of an unexplained observation or phenomenon. After being proposed, any hypothesis has to be checked for validity by follow-up experiments. If a SINGLE new experiment or observation compromises the original hypothesis, it has to be either rejected or modified to encompass the newly obtained data. Once more and more support and evidence has been gathered, the so modified hypothesis is peer reviewed (tested) by others. Much later, after gathering a large body evidence, a hypothesis becomes a scientific theory. Still, even a scientific theory is only a model describing how something in nature is happening. It is still subject to either modification or complete rejection if a SINGLE new experiment/observation is found to contradict it! 2.2 What of the following is a scientific theory and what is a hypothesis: Gravity: □ Hypothesis □ Theory □ Neither My friend is older than I am: □ Hypothesis □ Theory □ Neither Columbus discovered America: □ Hypothesis □ Theory □ Neither Insects communicate largely by smell: □ Hypothesis □ Theory □ Neither Fire Pokémon are inferior to water ones: □ Hypothesis □ Theory □ Neither Christmas is due to the birth of Jesus: □ Hypothesis □ Theory □ Neither Deep sea animals do not develop eyes: □ Hypothesis □ Theory □ Neither 2.3 Hands on experiment: Take a mostly empty Coke bottle and place it outside in a sunny spot (or any other plastic bottle with a little dark liquid in it). Look at it after 1-3 days. What is different than the day you placed it? What (and more importantly how) do you think happened inside that bottle? That is your hypothesis. Now suggest a follow up experiment to test your original model. Section 3: Math challenge Last month we started to learn about order of operation in mathematics. Not all operations are equal and it is very important to know in what order to solve an arithmetic equation. The first rule we learned was that multiplication and division are performed before addition and subtractions. 5 + 5 x 5 = 30, because the multiplication is executed first: 5 + 5 x 5 = 5 + 25 = 30 10 – 3 x 3 = ……… 15 + 8 – 30/6 = …… 4/2 – 8/8 = ……. 7 x 3 – 3 x 7 = …….. New rules of arithmetic operations: Rule 1: First, perform all operations in brackets, working left to right. Rule 2: Then perform all multiplications and divisions, working left to right. Rule 3: Finally perform all additions and subtractions, working left to right. Example: 3 – (4 – 2) = 3 – (4–2) = 3 – 2 = 1 (Solve the bracket before the subtraction) Now try it for yourself: 15 x (5 – 3) = ……. Can you get to the right answer (30)? Now try these: (10 + 10) x 10 = ……….. 10 + (10 – 10) = ………. (4 – 4) / 4 = …….. In which of the above equation are the brackets not necessary? …………………….. 5 + 5 x (5 + 5) = ……….. 10(1+2) = ………. 3 + (4 + 6) / 2 = ……… 102 – 15/3 = ……….. 10-((12-4)/2) = ……… 64/16 – (13 – 9) = ………… 4 – 3 + (7 – 2) x 3 = ……… 3 - 6/4 = …….. 10(3-6/4) = ……… What is the product of 3 and the sum of 6 and 5? …………………………….. Section 4: Trivia T1 In the game “Mario Bros.”, what is Mario’s profession? ……………………….. T2 What causes the tides the beach? ……………………………. T3 The French Open (tennis) are played at Roland Garros Stadium in Paris. What or who is “Roland Garros”? ……………………………………………………… T4 What do we celebrate at Thanksgiving? ……………………………………………….. …………………………………………………………………………………………………………………. T5 In 1494 (2 years after Columbus discovered the Americas), the world was divided between the two superpowers: Spain and ……………………………. T6 Which of the following animals are domesticated? □ Cows □ Pet Snakes T7 □ Dogs □ American Bison □ Hair lice What is an example of software for a computer? □ Seat cushion □ Your favorite game □ Keyboard □ Screen T8 Solve the puzzle on the right. Same letters are same numbers. Different letters are different numbers. The “x” indicates multiplication. T9 Which of the following was not one of the original 13 colonies? □ Connecticut □ Maine □ Georgia □ Rhode Island □ Virginia T 10 What country had the first successful moon landing? ……………………………… T 11 Who is the newly elected Governor in CT? ……………………………………….. T 12 Which of the following large cities are not located in the US? □ London □ San Diego □ Toronto □ Seattle □ Melbourne T 13 What was New York’s original name: …………………………………………… □ LA