Cambridge Essentials Mathematicscore 9S1consolidation Worksheet 2

Cambridge Essentials MathematicsCore 9S1Consolidation Worksheet 2

/ S1 Consolidation Worksheet 2

1The grouped frequency table shows the marks out of 60 in a year 9 science test.

Mark / Frequency / Midpoint / Frequency × midpoint
11–20 / 4
21–30 / 3
31–40 / 7
41–50 / 11
51–60 / 5
TOTAL

aComplete the frequency table. Use a calculator where necessary.

iThe midpoint of the class interval 11–20 is .

Repeat for all class intervals and add the values into the midpoint column.

iiNow multiply the number in the frequency column by the number in the midpoint column on each row of the table to fill in the frequency × mid point column.

iiiAdd up the frequency column and write the total in the table.

ivAdd up the frequency × midpoint column and write in the total.

bUse your calculator to work out the mean mark to 1 decimal place.

2This two way table shows the number of pupils in three school clubs.

Drama / Computer / Badminton
Boys / 11 / 21 / 14
Girls / 18 / 16 / 12

aHow many girls are in the computer club?

bHow many boys in total are in the three clubs?

cHow many pupils are in the badminton club?

dWhich club has the most pupils?

eWhich club has more girls than boys?

3The heights and weights of ten boys are given in the table.

Height (cm) / 143 / 172 / 162 / 150 / 175 / 147 / 165 / 170 / 158 / 153
Weight (kg) / 47 / 71 / 64 / 56 / 76 / 50 / 64 / 71 / 61 / 56

aPlot a scatter graphusing this data.

Label your axes as shown and use a sensible scale. Remember to put a heading.

bDrawn the line of best fit.

cWhat does the scatter graph tell you about the relationship between the boys’ heights and weights?