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Complete the statement.
For any circle the diameter is ....................... \times the radius.
535
546
538
The table shows information about 230 goats.
[Table_1]
Work out the total number of kid goats.
550
558
596
A 5-litre container of orange juice is used to fill cups that each hold 200 millilitres.
Work out the maximum number of cups that can be filled.
505
543
592
Complete the sequence of the first six triangle numbers.
1, 3, ................. , 10, ................. , 21
584
559
554
Write these numbers in order of size, starting with the smallest.
\( \frac{3}{4}, \ 83\%, \ 0.8, \ 0.72 \)
\[ \text{.....................} < \text{.....................} < \text{.....................} < \text{.....................} \]
\text{smallest} \hspace{30mm} [2]
533
509
566
E is the point (3, 7) and F is the point (3, 11).
Find the coordinates of the mid-point of EF.
(................, ....................)
572
502
563
Work out 3 hours as a percentage of 15 hours. \text{.........................\%} [2]
501
578
557
Describe fully the \textit{single} transformation that maps shape $X$ onto shape $Y$.
.........................................................................................................................
.................................................................................................................
528
526
597
A semicircle has diameter 6 m.
Find the arc length of this semicircle.
Give your answer in terms of $\pi$.
............................................... m [2]
588
521
541
The angles in any triangle add up to 180°. The angles in triangle $T$ are in the ratio 3 : 4 : 5.
Work out the size of each angle in triangle $T$.
541
532
520
Solve the simultaneous equations.
$$x = -2y$$
$$3x - 2y = 16$$
\(x = \text{.................................}\)
\(y = \text{.................................}\) [2]
504
518
591
Work out.
$$(3 \times 10^4) \times (4 \times 10^2)$$
Give your answer in standard form.
511
582
584
The Venn diagram shows two sets, $A$ and $B$.
(a) Write down the elements of set $A$.
......................................................... [1]
(b) One of the numbers is selected at random.
Find the probability that this number is in both set $A$ and set $B$.
......................................................... [1]
516
566
545
Write down the equation of the line with gradient 1 that passes through (0, 5).
553
587
545
The grouped frequency table shows information about the number of hours worked by each of 80 doctors.
[Table_1]
Number of hours $(t)$ | Frequency
10 < t \leq 20 | 8
20 < t \leq 30 | 16
30 < t \leq 40 | 21
40 < t \leq 50 | 35
(a) Write down the class interval containing the median. ....................... < t \leq ....................... [1]
(b) Complete the cumulative frequency table.
[Table_2]
Number of hours $(t)$ | Cumulative frequency
t \leq 20 | 8
t \leq 30 |
t \leq 40 |
t \leq 50 |
[2]
506
577
569
These are the first five terms in a sequence.
225 223 221 219 217
Find the $n^{th}$ term.
594
593
522
