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Write down two factors of 12. .................. , ................
600
568
505
Paulo and his sister share 35 sweets in the ratio 4 : 3. Paulo keeps the larger share.
How many sweets does Paulo keep?
538
552
543
Find the value of x.
[Image_1: A triangle with angles labeled as 44° and x°]
x = .....................................................
539
535
513
Wendi is collecting data on apples. Which of the words in the box above describes the following type of data.
(a) The number of apples on a tree. $\text{.................................}$ [1]
(b) The weight of an apple. $\text{.................................}$ [1]
[Table_1: continuous, cumulative, discrete, random]
573
508
532
Here are the test scores of five students.
13 \hspace{1cm} 16 \hspace{1cm} 14 \hspace{1cm} 19 \hspace{1cm} 13
(a) Write down the mode. \hspace{1cm} \text{.............................} \hspace{1cm} [1]
(b) Work out the range. \hspace{1cm} \text{.............................} \hspace{1cm} [1]
(c) Work out the mean. \hspace{1cm} \text{.............................} \hspace{1cm} [2]
579
594
516
A biased die is rolled 200 times and the number on the top face is recorded. The results are shown in the table.
[Table_1]
Number on the top face | 1 | 2 | 3 | 4 | 5 | 6
Frequency | 21 | 26 | 19 | 84 | 27 | 23
(a) Write down the relative frequency of rolling a 2. .................................................................. [1]
(b) The die is rolled 1000 times.
Work out an estimate of the number of times the top face shows 4. .................................................................. [2]
542
573
580
Complete the statement.
A quadrilateral with exactly one pair of parallel sides is called a ......................... .
560
583
527
The volume of this cuboid is $6000 \text{cm}^3$.
The length of the cuboid is $30 \text{cm}$ and the width of the cuboid is $10 \text{cm}$.
Find $h$, the height of the cuboid.
544
593
585
Alex starts from point $A$ and walks on a bearing of $030^\circ$ to point $B$. He then walks East to point $C$.
Find the bearing of
(a) $B$ from $C$, ............................................................................................. [1]
(b) $A$ from $B$. ............................................................................................. [2]
550
500
570
The $n^{th}$ term of a sequence is $n^2 - 3$.
Write down the first three terms.
............. , ............ , .............
599
519
580
A line has equation \( 3x + 2y = 6 \).
Write the equation of this line in the form \( y = mx + c \).
\( y = \text{.........................} \) \([2]\)
504
572
579
U = \{x \mid x \text{ is an integer and } 1 \leq x < 5\}
A' = \{2, 4\}
(a) Write down the elements of the universal set.
\{ \text{.....................} \} \text{ [1]}
(b) Write down the elements of the set }A\}.
\{ \text{.....................} \} \text{ [1]}
597
584
547
The diagram shows the graph of $y = f(x)$.
Write down the equations of the two asymptotes.
523
530
526
Complete the statement.
The graph of $y = g(x)$ is translated by the vector $\begin{pmatrix} 2 \\ 0 \end{pmatrix}$ onto the graph of $y =$ .....................
588
512
593
Write down the value of
(a) \( \sin x^\circ \),
(b) \( \tan y^\circ \).
574
539
563
The diagram shows a chord of length 16 cm inside a circle centre $O$, radius 10 cm.
Work out the length $x$.
.................................................. cm
536
590
594
