Name:……………………………………………………….
Date:…………………………………
1 The table below shows the monthly rent for nine apartments and the distance
of these apartments from the city centre.
(a) Complete the scatter diagram. The first four points have been plotted for you.
[2]
(b) What type of correlation is
shown on the scatter diagram?
.................................................
[1] (c) On the scatter diagram, draw a
line of best fit.
[1]
(d) Use your line of best fit to estimate the monthly rent for an apartment which
is 4 km from the city centre.
$ ................................................. [1]
2 20 students were asked how many pets they owned. The responses are shown
in the table.
(a) Find the median number of pets.
................................................. [1]
(b) Calculate the mean number of pets.
................................................. [2]
3 Aysha asks a group of students about their favourite fruit. The table and
pictogram show some of the results.
(a) Complete the table and pictogram.
(b) Write down the mode.
...................... [1]
[3]
4 (a) Ryan says: Each diagonal of quadrilateral Q divides it into two congruent
isosceles triangles. Draw a ring around each of the quadrilaterals in the list for
which Ryan’s statement is always true.
Square
Rectangle
Rhombus
Parallelogram
Trapezium
Kite [1]
(b) AXB and CXD are straight lines. X is the
midpoint of AB. AC is parallel to DB. Show that
triangle AXC is congruent to triangle BXD. Give
a reason for each statement you make.
................................................................................................................
................................................................................................................
................................................................................................................
........................................................................................................... [3]
5 The heights of a
sample of plants
were measured.
The results are
shown in the table
and in the histogram.
(a) Use the histogram to find the value of p.
p = ................................................ [1]
(b) Complete the histogram.
[1]
6 ACD and BCE are straight lines. AB is parallel to ED.
(a) Prove that triangle ABC is similar to triangle DEC.
Give a reason for each statement that you make.
................................................................................................................
................................................................................................................
................................................................................................................
............................................................................................................[3]
(b) AB = 6 cm and ED = 2 cm. The area of triangle ABC is 45 cm2. Calculate the
area of triangle DEC.
.......................................... cm2 [2]
(c) Two bottles of perfume are similar to each other. The heights of the bottles
are 4 cm and 6 cm. The smaller bottle has a volume of 24 cm3 . Calculate the
volume of the larger bottle.
.......................................... cm3 [2]
January Monthly Test 2022-23 Marking Scheme
1 4024/11/M/J/22
2 4024/11/M/J/22
3 4024/12/M/J/22
4024/12/M/J/22
5 4024/12/O/N/20
6 4024/11/O/N/21