Numeracy Assessment For Post-primary Teachers

Find the mean of the following set of numbers:51, 62, 67, 62, 71, 47, 46

Find the mode of the following set of numbers: 51, 62, 67, 62, 71, 47, 46

Find the range of the following set of numbers: 51, 62, 67, 62, 71, 47, 46

The frequency table below shows the age, in years, of pupils on a school trip. Age No of children 12 4 13 16 14 9 15 3Calculate the mean age of the children on the trip giving your answer to two decimal places.

The mean height of 20 pupils in a class is 156cm.  As a result of a new pupil joining the class the mean height of the class increases by 0.1cm.  How tall is the new pupil?

A parents' evening begins at 17:00 and finishes at 19.30.  A teacher has 25 appointments during this time.  What is the mean time a teacher can allow for each appointment?

• 5 minutes

• 6 minutes

• 8 minutes

• 10 minutes

A number is chosen at random from the numbers 1 to 100 (inclusive). What is the probability that the number chosen is even?

• 0.5

• 0.2

• 0.8

• 1.0

2A teacher analysed the reading test standardised scores of a group of pupils as shown.  Indicate all of the true statements below.

• All the girls improved their scores between the Age 8+ and Age 10+ tests.

• The greatest improvement was made by a girl.

• 3/4 of the boys improved their scores.

• The highest mark scored in Test Q was higher than the highest mark in Test P.

• More pupils scored under 50% in Test Q than in Test P

• The lowest mark in Test P was lower than the lowest mark in Test Q

A GCSE coursework project was scheduled over the acdemic year.  All lessons were of equal length and teaching time was structured as follows: Activity Proportion of time 1 30% 2 25% 3 25% 4 20%The following timetables were available: Activity Timetable 1 Timetable 2 Timetable 3 Timetable 4 1 14 12 12 15 2 12 10 11 11 3 12 10 11 11 4 6 8 6 10Which timetable best meets the requirements?

• 1

• 2

• 3

• 4

The table below shows the results of a maths test.  What fraction of pupils were Level 5 or above? 

• Three tenths

• Four fifths

• Five twelfths

• One sixth

A support teacher assessed the reading age of a group of Yaer 9 pupils with Special Educational Needs.  Pupil Actual Age in Years Months Reading Age in Years Months A 12       07 10       08 B 12       01 11       09 C 12       03 9         07 D 12       03 13       06 E 12       01 10       02 F 12       11 12       04 G 12       06 8         04 H 12       07 10       00 I 12       06 11       01 J 12       00 10       02What fraction of the pupils had a reading age of at least 1 year 9 months below their actual age?

• Three quarters

• One half

• Three fifths

• One third

Use the pie chart below to answer this question.  The total amount spent on all photocopying was approximately:

• £60

• £20

• £120

• £90

A number is chosen at random from the numbers 1 to 100 (inclusive). What is the probability that the number chosen is even and greater than 90?

• 1 in 20

• 1 in 10

• 2 in 10

• 5 in 10

A teacher created the pie chart below to show how the departmental budget had been spent. Mark the true statements below: 

• About half as much money was spent on laminating as on black and white photocopying.

• Black and white printing accounted for about 12% of the total budget.

• Twice as much money was spent on colour printing as on black and white printing

A number is chosen at random from the numbers 1 to 100 (inclusive). What is the probability that the number chosen is even or greater than 90?

• 0.5

• 0.55

• 0.45

• 0.05