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2ESO: Math Questions

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  • Calculate and write, step by step, the process for arriving at the solution.
    See Maslin
  • Which of these numbers are multiples of two and three at the same time? 120 455 352 495 462 909
    Multiples of two and three at a time → 120 and 462.
  • Calculate and write, step by step, the process for arriving at the solution.                                   [(56 : 7 – 6)3 + 4]2 : (8 – 5)2
    [(56 : 7 – 6)3 + 4]2 : (8 – 5)2 = [(8 – 6)3 + 4]2 : 32 = [8 + 4]2 : 32 = 122 : 9 = 144 : 9 = 16
  • Which of these are multiples of three? Explain why. 20 15 49 13
    20 15 49 13 15, because 15 = 5 · 3
  • Calculate and write, step by step, the process for arriving at the solution. (50 : 5 – 23 )2 + 3 · (6 · 3 – 4 · 4)3
    (50 : 5 – 23 )2 + 3 · (6 · 3 – 4 · 4)3 = (10 – 8)2 + 3 · 23 = 22 + 3 · 8 = 4 + 24 = 28
  • Silvia visits her grandmother every 8 days and her brother Alberto every 14 days. When will they visit each other again? How many visits will each of them have made to their grandmother?
  • Which of these numbers is a divisor of 48? 20 11 16 9
    16, because 48 : 16 = 3
  • Calculate and write, step by step, the process for arriving at the solution. 81 : [(16 · 4 – 5 · 8)2 : (12 – 4)2]
    81 : [(16 · 4 – 5 · 8)2 : (12 ‒ 4)2] = 81 : [(64 – 40)2 : 82] = 81 : [242 : 82] = 81 : 32 = 81 : 9 = 9
  • Calculate and write, step by step, the process for arriving at the solution. 92 : (62 – 52 + 4 · 7 – 24)
    92 : (62 – 52 + 4 · 7 ‒ 24) = 92 : (36 – 25 + 28 – 16) = 92 : (64 – 41) = 92 : 23 = 4
  • Is the number 6 a divisor of 30? Explain why.
    Yes, because 30 : 6 = 5.
  • Which of these are multiples of 11? 120 455 352 495 462 909
    Multiples of 11 → 352, 495 y 462
  • The bus on line A passes a certain stop every 12 minutes, the bus on line B passes every 18 minutes, and the bus on line C passes every 24 minutes. If they all coincide at 10 a.m., at what time do they coincide again?
  • Which of these are multiples of 5? 120 455 352 495 462 909
    Multiples of 5 → 120, 455 y 495
  • Is the number 155 a multiple of 31? Explain.
    Yes because 155 = 31 · 5.
  • Is the number 64 a multiple of 4? Explain.
    Yes, because 16 · 4 = 64.
  • Which of these are multiples of 2? 20 455 352 495 462 909
    Multiples of two → 120, 352 and 462.
  • One comet is visible from Earth every 24 years and the other every 36 years. The last year they were visible together was 1944. In which year will they coincide again?
  • Calculate: máx.c.d. (60, 72, 84)
  • Calculate: mín.c.m. (12, 24, 36)
  • Is the number 13 a divisor of 64? Explain.
    No, because 64 : 13 = 4.92