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Here is a bus timetable.
[Table_1]
(a) Find how many minutes it takes Bus 4 to travel from A to E.
Answer(a) .................................................. min [1]
(b) Jane arrives at B at 16 10.
Find how many minutes she has to wait for the next bus.
Answer(b) .................................................. min [1]
(c) Desi travels from C to E. He must arrive at E by 17 00.
Which is the latest bus that he can catch to arrive on time?
Answer(c) .................................................. [1]
506
536
563
Find the lowest common multiple (LCM) of 2 and 5.
Answer ...........................
599
579
593
Shade three more squares so that the diagram has rotational symmetry of order 4.
571
547
596
Measure and write down the size of the angles marked $x$ and $y$.
$x = \text{.....................}$
$y = \text{.....................}$
517
567
565
From the list above, write down the mathematical name of each of the following shapes.
(a)
Answer(a) .................................................................
(b)
Answer(b) .................................................................
(c)
Answer(c) .................................................................
(d)
Answer(d) .................................................................
(e)
Answer(e) .................................................................
590
536
547
(a) Write $4 \times 4 \times 4$ as a power of 4.
Answer(a) ............................................................. [1]
(b) Write down the value of $8^0$.
Answer(b) ............................................................. [1]
544
562
562
(a) Write down the co-ordinates of $P$.
Answer(a) $\; (\text{.....................} , \text{.....................}) \; [1]$
(b) Write down the co-ordinates of the point where the line $L$ crosses the $x$-axis.
Answer(b) $\; (\text{.....................} , \text{.....................}) \; [1]$
530
571
516
(a) (i) The mass of a blue whale is 180000 kg.
Write 180000 in standard form.
Answer(a)(i) .............................. [1]
(ii) Change 180000 kg into tonnes.
Answer(a)(ii) .............................. tonnes [1]
(b) A blue whale eats shrimps. The mass of a shrimp is 0.001 kg.
Write 0.001 in standard form.
Answer(b) .............................. [1]
551
563
589
Point $A$ has co-ordinates $(1, 4)$. Point $B$ has co-ordinates $(6, 3)$.
Write $\overrightarrow{AB}$ as a column vector.
You may use the grid to help you.
507
554
573
The scatter diagram shows the marks of 10 students in a mathematics test and in a physics test.
(a) What type of correlation is shown on the scatter diagram?
Answer(a) ................................................................. [1]
(b) Another student scored 88 in the physics test but was absent for the mathematics test. Use the line of best fit to estimate the mathematics mark for this student.
Answer(b) ................................................................. [1]
515
574
515
The two triangles are similar.
Find the value of \( y \).
[Image_1: Diagram of two similar triangles with sides labeled 2 cm, 5 cm, 15 cm, and \( y \) cm]
579
539
583
(a) Expand and simplify.
$6(x - 2y) + 3(2x - y)$
Answer(a) ................................................... [2]
(b) Factorise fully.
$5p^2q + 10pq^2$
Answer(b) ................................................... [3]
576
521
579
Solve the following simultaneous equations.
$$4x + y = 17$$
$$x - 3y = 1$$
Answer $x = \text{.........................................................}$
$y = \text{.........................................................}$
598
543
540
A bag contains only red balls and blue balls.
The probability of picking a red ball at random from the bag is \( \frac{8}{15} \).
(a) What is the probability of picking a blue ball from the bag?
\text{Answer(a)} \hspace{2cm} \text{.......................................................} \hspace{1cm} [1]
(b) Jane says that there must be exactly 15 balls in the bag.
Is she correct?
Give a reason for your answer.
\text{Answer(b)} \hspace{2cm} \text{...............................} \text{because} \text{...............................................} \hspace{1cm} [1]
600
528
580
The cumulative frequency diagram shows the scores of 60 students in an English test.
Find
(a) the median,
Answer(a) .............................................................. [1]
(b) the lower quartile,
Answer(b) .............................................................. [1]
(c) the interquartile range,
Answer(c) .............................................................. [1]
(d) the number of students who scored more than 90.
Answer(d) ............................................................ [1]
532
595
596
