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An interview panel awards 5 marks for every correct response. The interview contained 15 questions. Andrew obtained 43 marks after getting 11 correct responses. (a) Calculate the marks that Andrew lost. (b) Find the number of marks deducted for every wrong response. (02 marks)

Mathematics

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Answers

2 parts
a

12 alama12 \text{ alama}

b

3 alama3 \text{ alama}

Step-by-step solution

5 steps

Hapa kuna suluhisho:

Part a· 2 steps

Kokotoa alama ambazo Andrew alipoteza.

  1. Kokotoa alama ambazo Andrew angepata kwa majibu yake sahihi bila makato yoyote.

    Andrew alijibu maswali 11 kwa usahihi, na kila jibu sahihi lina alama 5.
    Alama za majibu sahihi = 11×5=5511 \times 5 = 55 alama.

  2. Linganisha alama alizopata na alama za majibu sahihi.

    Andrew alipata jumla ya alama 43.
    Alama alizopoteza = (Alama za majibu sahihi) - (Alama alizopata)
    Alama alizopoteza = 55−43=1255 - 43 = 12 alama.

    Alama ambazo Andrew alipoteza ni:

    12 alama\boxed{12 \text{ alama}}

Part b

3 alama3 \text{ alama}

Tafuta idadi ya alama zilizokatwa kwa kila jibu lisilo sahihi.

  1. Kokotoa idadi ya majibu yasiyo sahihi.

    Jumla ya maswali = 15.
    Majibu sahihi = 11.
    Majibu yasiyo sahihi = (Jumla ya maswali) - (Majibu sahihi)
    Majibu yasiyo sahihi = 15−11=415 - 11 = 4 majibu.

  2. Tumia jumla ya alama zilizopotea kutoka sehemu (a) na idadi ya majibu yasiyo sahihi.

    Jumla ya alama zilizopotea = 12 alama (kutoka sehemu a).

  3. Kokotoa alama zilizokatwa kwa kila jibu lisilo sahihi.

    Alama zilizokatwa kwa kila jibu lisilo sahihi = Jumla ya alama zilizopoteaIdadi ya majibu yasiyo sahihi\frac{\text{Jumla ya alama zilizopotea}}{\text{Idadi ya majibu yasiyo sahihi}}
    Alama zilizokatwa kwa kila jibu lisilo sahihi = 124=3\frac{12}{4} = 3 alama.

    Idadi ya alama zilizokatwa kwa kila jibu lisilo sahihi ni:

    3 alama\boxed{3 \text{ alama}}

    Umebakisha maswali 2 leo — tuma linalofuata.

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