Worksheet

Use random numbers to copy a chance situation

Grade 7 Math Worksheet - Building Confidence

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Circle the best answer, or write your answer on the line.

  1. A bus is late 35% of the time. Ari uses random two-digit numbers, 00 to 99, each equally likely. Which numbers should stand for a late bus?

    • 00 to 35, which is 36 of the 100 numbers
    • 00 to 34, which is 35 of the 100 numbers
    • 35 to 99, which is 65 of the 100 numbers
    • Any number with a 3 or a 5 in it, such as 03, 25 or 53

  2. A spinner has 8 equal sections, 3 of them red. Bo uses one random digit per spin and skips digits that are not needed. Which plan copies one spin?

    • 0 to 3 stand for red; 4 to 9 for the other colors; skip no digits
    • 1, 2 and 3 stand for red; 4 to 8 for the other colors; skip 0 and 9
    • 3 stands for red; the other digits stand for the other colors; skip no digits
    • 0, 1 and 2 stand for red; 3 to 9 for the other colors; skip no digits

  3. Esme's bag has 2 red, 3 blue and 5 green marbles. One random digit copies one draw. Which plan copies the draw?

    • 0 and 1 for red, 2 to 4 for blue, 5 to 9 for green
    • 2 for red, 3 for blue and 5 for green, since those are the counts
    • 0 and 1 for red, 2 and 3 for blue, 4 to 9 for green
    • 0 to 2 for red, 3 to 5 for blue, 6 to 9 for green

  4. A player makes 2 out of every 5 shots. Jun uses one random digit per shot. Which plan copies one shot?

    • 4 to 9 stand for a made shot; 0 to 3 stand for a miss
    • 0 and 1 stand for a made shot; 2 to 9 stand for a miss
    • 0 to 3 stand for a made shot; 4 to 9 stand for a miss
    • 0 to 4 stand for a made shot; 5 to 9 stand for a miss

  5. Read this first

    Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 12, 83, 09, 69, 41, 55, 30, 98, 24, 71, 63, 40, 19, 02, 86, 34.

  6. Kira copies two flips of a fair coin. In each pair of digits, 0 to 4 is heads and 5 to 9 is tails. In the 16 trials shown, how many show two heads?

  7. Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 58, 23, 91, 64, 07, 36, 82, 15, 60, 72, 49, 26, 95, 03, 57, 61.

  8. A player makes 70% of shots. Luz copies two shots with digits: 0 to 6 is a made shot. In the 16 trials shown, in how many are both shots made?

  9. Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 15, 83, 29, 46, 01, 72, 64, 20, 98, 11, 37, 52, 80, 06, 43, 92, 21, 75, 68, 10.

  10. Each day has a 30% chance of rain. Milo copies two days with digits: 0 to 2 is rain. In the 20 trials shown, in how many does it rain both days?

  11. Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 58, 73, 14, 96, 45, 82, 29, 67, 31, 88, 50, 76, 03, 94, 61, 47, 85, 22, 70, 39, 64, 91, 56, 18, 83.

  12. Each of two days has a 30% chance of rain; Ren uses 0 to 2 for rain. From the trials, what is the estimated chance of rain on at least one day, as a percent?

  13. Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 47, 96, 62, 10, 48, 89, 35, 93, 57, 21, 28, 98, 71, 67, 39, 84, 50, 91, 58, 66.

  14. A player makes 60% of shots; Tala uses 0 to 5 for a made shot. In the trials shown, what is the estimated chance of making at least one of two shots, as a percent?

  15. Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 76, 59, 21, 45, 92, 68, 34, 87, 53, 19, 60, 27, 95, 48, 86, 71, 64, 18, 99, 37, 42, 85, 73, 06, 90.

  16. A spinner has 10 equal sections, 4 blue. Zee uses 0 to 3 for blue. Using the trials, what is the estimated chance of at least one blue in two spins, as a percent?

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Use random numbers to copy a chance situation

Answer Key - Grade 7 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

  1. A bus is late 35% of the time. Ari uses random two-digit numbers, 00 to 99, each equally likely. Which numbers should stand for a late bus?

    • 00 to 35, which is 36 of the 100 numbers
    • 00 to 34, which is 35 of the 100 numbers
    • 35 to 99, which is 65 of the 100 numbers
    • Any number with a 3 or a 5 in it, such as 03, 25 or 53

  2. A spinner has 8 equal sections, 3 of them red. Bo uses one random digit per spin and skips digits that are not needed. Which plan copies one spin?

    • 0 to 3 stand for red; 4 to 9 for the other colors; skip no digits
    • 1, 2 and 3 stand for red; 4 to 8 for the other colors; skip 0 and 9
    • 3 stands for red; the other digits stand for the other colors; skip no digits
    • 0, 1 and 2 stand for red; 3 to 9 for the other colors; skip no digits

  3. Esme's bag has 2 red, 3 blue and 5 green marbles. One random digit copies one draw. Which plan copies the draw?

    • 0 and 1 for red, 2 to 4 for blue, 5 to 9 for green
    • 2 for red, 3 for blue and 5 for green, since those are the counts
    • 0 and 1 for red, 2 and 3 for blue, 4 to 9 for green
    • 0 to 2 for red, 3 to 5 for blue, 6 to 9 for green

  4. A player makes 2 out of every 5 shots. Jun uses one random digit per shot. Which plan copies one shot?

    • 4 to 9 stand for a made shot; 0 to 3 stand for a miss
    • 0 and 1 stand for a made shot; 2 to 9 stand for a miss
    • 0 to 3 stand for a made shot; 4 to 9 stand for a miss
    • 0 to 4 stand for a made shot; 5 to 9 stand for a miss

  5. Read this first

    Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 12, 83, 09, 69, 41, 55, 30, 98, 24, 71, 63, 40, 19, 02, 86, 34.

  6. Kira copies two flips of a fair coin. In each pair of digits, 0 to 4 is heads and 5 to 9 is tails. In the 16 trials shown, how many show two heads?

    7

  7. Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 58, 23, 91, 64, 07, 36, 82, 15, 60, 72, 49, 26, 95, 03, 57, 61.

  8. A player makes 70% of shots. Luz copies two shots with digits: 0 to 6 is a made shot. In the 16 trials shown, in how many are both shots made?

    8

  9. Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 15, 83, 29, 46, 01, 72, 64, 20, 98, 11, 37, 52, 80, 06, 43, 92, 21, 75, 68, 10.

  10. Each day has a 30% chance of rain. Milo copies two days with digits: 0 to 2 is rain. In the 20 trials shown, in how many does it rain both days?

    5

  11. Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 58, 73, 14, 96, 45, 82, 29, 67, 31, 88, 50, 76, 03, 94, 61, 47, 85, 22, 70, 39, 64, 91, 56, 18, 83.

  12. Each of two days has a 30% chance of rain; Ren uses 0 to 2 for rain. From the trials, what is the estimated chance of rain on at least one day, as a percent?

    44

  13. Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 47, 96, 62, 10, 48, 89, 35, 93, 57, 21, 28, 98, 71, 67, 39, 84, 50, 91, 58, 66.

  14. A player makes 60% of shots; Tala uses 0 to 5 for a made shot. In the trials shown, what is the estimated chance of making at least one of two shots, as a percent?

    75

  15. Use this

    Two digits make one trial, so 06 is the digits 0 and 6. Trials: 76, 59, 21, 45, 92, 68, 34, 87, 53, 19, 60, 27, 95, 48, 86, 71, 64, 18, 99, 37, 42, 85, 73, 06, 90.

  16. A spinner has 10 equal sections, 4 blue. Zee uses 0 to 3 for blue. Using the trials, what is the estimated chance of at least one blue in two spins, as a percent?

    56