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173 students

ST. STEPHEN'S GIRLS' COLLEGE

Final Examination 2019-2020

Please read the following instructions very carefully.

Mathematics

Time Allowed: 1 hour 15 minutes

Question/Answer Paper

consists of TWO sections, A and B.

2. Write your class, class number, name and division in the

spaces provided on this cover.

3. This paper carries 100 marks. Attempt ALL questions in

this paper. Write your answers in the spaces provided in

this Question/Answer Paper.

4. The diagrams in this paper are not necessarily drawn to

LC, LL, JSCL, CYN

For Markers' Use Only

Form 1 Mathematics Final Exam 2019-2020

28. The figure shows a rectangular coordinate plane. B lies on the y-axis and C lies on the x-axis. AE

cuts the x-axis at F and ABCF is a parallelogram. It is given that the area of ABCF is 40 sq. units.

E (-15.5, -6)

(i) Find the value of h.

(ii) Write down the coordinates of B.

Find the area of ABCDE.

Find the area of ABCD.

Form 1 Mathematics Final Exam 2019-2020

29. In the figure, APB is a straight line. It is given that ZACB=73°, ZCBQ=116° and BC = =QB.

(a) Prove that AABC = APQB.

Form 1 Mathematics Final Exam 2019-2020

30. In the figure, AB is parallel to ED.

End of Paper

Show that ZBCD=70°.

(b) Given ZCDB=25°, determine whether CB is perpendicular to BD.

Form 1 Mathematics Final Exam 2019-2020

Section A (50%)

All rough work should be done on the rough work paper provided, but will not be marked.

For the algebraic expression -2x²-3x-5+4x,

(a) write down the like terms;

write down the constant term.

Simplify 3b-4(a−b).

Consider the formula f =d(1-2). If f = 54 and

a=0.8, find the value of d.

In the figure, the area of the

polygon is 39 cm². Find the value

The figure shows a right prism.

Find its volume.

(b) If the area of all the

lateral faces of the

prism is 256 cm²,

find the value of x.

Which of the following points is furthest away from

A(-3, 5), B(4, 5), C(1, 6), D(1, 3)

Which of the following points lies in quadrant IV in a 6.

rectangular coordinate plane?

A(-3,-2), B(-4, 1), C(5, −5), D(2, 4)

Form 1 Mathematics Final Exam 2019-2020

In the figure, AB and CD are parallel to the x-axis. BC

is parallel to the y-axis. The coordinates of A and D are

(c-8, 3) and (5, -1) respectively. If the length of

ABCD is 15 units, find the value of c.

The figure shows a rectangle ABCD, whose sides are

either horizontal or vertical. The coordinates of A and C

are (-6, 2) and (3,-2) respectively. Find the area of

In the figure, the area of PQRST is 35 sq. units. Find 10.

the value of q.

A(4, 30°) and B(5, 120°) are two points in a polar

coordinate plane. Let O be the pole. Find the area of

Form 1 Mathematics Final Exam 2019-2020

12. How many axes of symmetry does the following figure 12.

In the figure, A' is the image of A after enlargement. 13.

Find the enlargement factor.

In the figure, if D(1, -1) is reflected in the line L to E, 14.

find the coordinates of E.

In a rectangular coordinate plane, a point A is rotated

anti-clockwise about the origin through 180° to the

point B(-11, -8). Find the coordinates of A.

In a rectangular coordinate plane, a point P(2s, s + 3)

is translated 4 units upwards and then reflected in the x-

axis to the point Q(n, -10). Find the value of n.

Form 1 Mathematics Final Exam 2019-2020

17. In the figure, CBD is a straight line. Find x and y.

In the figure, ABD and CBF are straight lines. Find

In the figure, AOC and BOD are straight lines. If

ZAOD is three times ZBOA, find ZBOC.

In the figure, APQR = ARSP. Find ZQPR.

Form 1 Mathematics Final Exam 2019-2020

In the figure, name a pair of congruent triangles and

give a reason.

In the figure, name a pair of congruent triangles and

give a reason.

Section B (50%)

All working must be clearly shown in the spaces provided.

23. It is given that the result of subtracting 4 from the product of y and 7 is not greater than -16.

Set up an inequality to represent the above situation.

Is it possible to have y = -2? Explain your answer.

Form 1 Mathematics Final Exam 2019-2020

24. The price of a box of masks is the same as the price of 4 bottles of bleach. Mrs Chan spent $726

on 2 boxes of masks and 3 bottles of bleach for her family. Find the price of one box of masks.

25. In the figure, L is a line parallel to the x-axis and passes through the point E. A is translated 10

units to the right and then translated 2 units downwards to C. B is rotated clockwise about the

origin o through 90° to a point D. D is reflected in the line L to F.

(a) Mark C, D and F in the rectangular coordinate plane.

(i) Draw the quadrilateral CDEF.

(ii) Find the order of rotational symmetry of the quadrilateral CDEF.

If G undergoes a transformation to A, describe the transformation.

Form 1 Mathematics Final Exam 2019-2020

26. The figure shows a rectangular coordinate plane.

(i) Plot the points A(-3, 5) and B(-3, -4) in the rectangular coordinate plane. (2 marks)

Find the length of AB.

C(6 + 2c, -4) is another point in the rectangular coordinate plane. If BC = 7 units, find the

two possible values of c.

-7-6 -5-4 -3-2

Form 1 Mathematics Final Exam 2019-2020

27. Jenny cuts a symmetrical figure from a cardboard. The shape consists of a trapezium and a

rectangle which is shown in Figure 1.

Find the area of the figure shown in Figure 1.

(b) Jenny wants to build a model of a house in the shape of a right prism by using the shape in

Figure 1 as the base. (see Figure 2)

(i) Find the volume of the model.

(ii) Jenny claims that the total surface area of the model is smaller than 400 cm². Do you

agree? Explain your answer.