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Here is a list of numbers.
2 \hspace{15mm} 3 \hspace{15mm} 4 \hspace{15mm} 5 \hspace{15mm} 6
From this list, write down
(a) the factors of 18, \text{................................. [1]}
(b) the square number, \text{................................. [1]}
(c) a prime number. \text{................................. [1]}
504
579
513
A movie is 2 hours 40 minutes long. It starts at 10:40.
At what time does it finish?
559
546
542
Work out.
(a) $20 - 8 \times 2$ ........................................... [1]
(b) $2 \times 20 - 8$ ........................................... [1]
599
561
513
The table shows the number of books borrowed each day from a library during one week.
[Table_1]
| Day | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday |
|---|---|---|---|---|---|---|
| Number of books | 436 | 297 | 735 | 626 | 920 | 1297 |
(a) On which day was the fewest number of books borrowed?
......................................................... [1]
(b) Find the range of the number of books borrowed.
......................................................... [1]
518
586
504
(a) Write 0.08219 correct to 3 decimal places.
............................... [1]
(b) Write 60952 correct to 3 significant figures.
............................... [1]
593
564
519
Write down the next two numbers in this sequence.
19, 14, 9, 4, ................, ................
526
568
516
The rectangle is enlarged by a scale factor of 4.
Write down the size of the enlarged rectangle.
Length ....................................... cm
Width ........................................ cm
592
568
504
Write down the equation of a line parallel to $y = 3x + 5$.
555
521
519
Find the area of a circle of diameter 12 cm. Give your answer in terms of \( \pi \).
\text{..................} \text{cm}^2 \quad [2]
585
530
546
The area of a floor is $25 \text{ m}^2$.
Jenny thinks this is the same as $2\ 500\ \text{cm}^2$.
Is Jenny correct?
Explain your answer.
............. because ..............................................................................................
516
509
513
The exterior angle of a regular polygon is 40°.
Find the number of sides of this polygon.
596
562
579
AB is the diameter of the circle and C is a point on the circumference.
Work out the size of angle ABC.
Angle $ABC = \text{.....................}$
547
506
541
(a) Simplify.
(i) $3^0 \times 6$ ...................................................... [1]
(ii) \(\left(\frac{1}{3}\right)^3\) ...................................................... [1]
(b) Find the value of $n$ when $2^{n+1} = 16$. ...................................................... [1]
578
544
583
Twenty students in a class each solve a puzzle.
The time taken, $t$ minutes, by each student to solve the puzzle is shown in the table.
(a) Complete the table.
[Table_1]
| Time (minutes) | Number of students | Midpoint |
|----------------|-------------------|----------|
| $0 < t \leq 2$ | 1 | |
| $2 < t \leq 4$ | 6 | |
| $4 < t \leq 6$ | 6 | |
| $6 < t \leq 8$ | 6 | |
| $8 < t \leq 10$ | 1 | |
| Total | 20 | |
[1]
(b) Find an estimate for the mean time taken to solve the puzzle. ............................................ min [3]
557
567
589
(a) Complete the statement using one of the symbols $<$, $=$ or $>$.
7 ............... 4 [1]
(b) Write down the largest integer value, $x$, such that
(i) $x \leq -3$, .............................. [1]
(ii) $2x < 11$. .............................. [1]
514
565
538
Describe the single transformation that maps the graph of $y = x^2$ onto the graph of $y = x^2 - 2$.
501
521
597
The table shows the maximum daily temperature, $x^{\circ}C$, and the daily income, $\$y$, of an ice cream salesman.
[Table_1]
(a) Complete the scatter diagram. The first four points have been plotted for you.
(b) Write down the type of correlation shown on the scatter diagram. ............................................................................................................................ [1]
515
521
511
