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Numeracy Intermediate November 2018 Unit 1 Q2

WJECIntermediateCurrent spec7 marksAverages (including IQR)Forming Equations

2.

(a) Rob has carried out a survey.
He asked 25 students how many times they visited the library last month.
His results are shown below.
Tally table. Number of library visits 0, 1, 2, 3, 4, 5. Tally: 0 – none; 1 – 6; 2 – 7; 3 – 4; 4 – 8; 5 – none

Using Rob’s results, answer the following questions.

(i) What is the range?
Circle your answer. [1]

0    1    2    3    4    5

(ii) What is the median?
Circle your answer. [1]

0    1    2    3    4    5

(b) Rob puts some books and a weight on a set of balance scales.
All the books are identical.
Balance scales level: 7 identical books on the left; 2 identical books and a 1750 g weight on the right

What is the mass of one book? [2]

(c) Rob balances some identical dictionaries.
10 dictionaries are on one side.
2 dictionaries and a 3200 g weight are on the other side.

Let the mass of one dictionary be \(x\) grams.

(i) Use the information above to write an equation in terms of \(x\). [1]
(ii) Find the total mass of all 12 dictionaries. [2]

The total mass of all 12 dictionaries is …………… g

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