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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