The highest point measured above sea level is the summit of Mt. Everest which is 8,848m above sea level and the lowest point is challenger Deep at the bottom of Mariana Trench which is 10911m below sea level. What is the vertical distance between these two points? Puzzle 1 Fill in the blank space of the following magic square so that the sum of the numbers in each row, each column and each of the diagonals is – 6. (i) –1 3 –2 (ii) In this magic square, sum of the numbers in every row, column and each of the diagonals is – 2. Fill in the blank: 7 –6 0 –2 –5 6 –8 Puzzle 2 If a * b means a × b + 2 and a # b means – a + b –(–3), then find the value of the following: (i) – 4 * 3 (ii) (–3) * (–2) (iii) (–7) # (–3) (iv) 2 # (–4) (v) 7 * (–5) (vi) (–7 * 2) # 3 Next, match these answers with suitable letters by looking at the table below and arrange them in increasing order of integers to decode the name of the mathematician: 15-04-2018 Integers –9 14 –3 4 –10 8 –33 –21 7 18 Letters P Y C T U I E G L D Puzzle 3 ‘Equinoxes’ are the two days of the year when the sun is directly above the earth’s equator, due to which the days and nights are of nearly equal length everywhere on the earth. Find the name of the month of autumn equinox using suitable properties of integers by solving the following questions. Match your answer with the letter given in the table and fill it in the box provided in each question.
This question refers to a figure in the original PDF.
- (a)(–1) × (–2) × (–3) × (–4) × (–5)
- (b)18946 × 99 – (–18946)
- (c)–1 + (–2) + (–3) + (–9) + (–8)
- (d)15 × (–99) (e) –143 + 600 – 257 + 400 (f) 0 ÷ (–12) (g) –125 × 9 – 125 (–1) × (–1) × ................... × (–1) (h) 20 times – 4 + 4 – 4 + 4 – ........ – 4 (i) 21 times 1 E –1485 T –120 S –30 P –4 R –1250 B 1894600 E 600 E 0 M 15-04-2018 Puzzle 4 Complete the number grids by following the direction of arrows. ÷ × 10 + → → (–3) → + 8 → (–4) → – → → → → × 20 – 6 ÷ 3 + (–45) →+ → × + 2 → → – → → → → ÷ (–6) – 10 + 4 ÷ 9 – → 1 →÷4 → – → → → × (–1) + 15 × 12 × × – 6 × → → → → 2 3 3 → → → + 7 + 9 ÷ → (–4) ÷ 9 → → – → × ÷ → → → × 2 ÷ (–3) – 9 → × → × → + → × 3 (–8) 100 –21 Puzzle 5 Solve the following riddles. (a) Minus of minus six Minus minus-minus-seven What do you get if this is added to minus-minus-seven again? (b) Now add the value in riddle (a) to minus four and then minus two you take away Divide this by minus two What is this value can you say? (c) Take the result of riddle (b) and subtract from it minus six Multiply this by minus two What will the answer be? Fig. 1.4 Puzzle 6 Use the integers –2, 4, –5, –12, 20, –25 and 50 just one each in the wheel shown in Fig. 1.4 to make the product 1200 along each line. 15-04-2018