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Write $\frac{1}{4}$ as a percentage. \text{.........................\%} [1]
535
593
575
The diagram shows a fair 6-sided spinner which can land on the numbers 1, 2 or 3.
Write down the number on which the spinner is least likely to land.
598
508
583
Change 4 centilitres into millilitres. ........................................................ m\ell [1]
571
503
591
Canoe hire costs $30 per day.
A canoe is hired for 7 days.
Work out the total cost.
$\text{..........................................}$ [1]
590
574
531
The table shows some data collected in a probability experiment. Put a tick (✓) in each row to show whether the data is discrete or continuous.
[Table_1]
Data | Discrete | Continuous
Score on die | |
Number of rolls of die | |
Time taken to roll die | |
583
518
507
A is the point (3, 2) and B is the point (3, 8).
Work out the length of AB. ............................................. units.
550
524
577
Fill in the two missing terms of the sequence.
$-4$, $\text{[box]}$, $2$, $5$, $8$, $\text{[box]}$ , $\ldots$
524
514
550
Lines $AB$ and $CD$ are straight lines that intersect at right angles at $X$.
Find the value of $y$.
$y = ext{.................................................}$
516
588
567
A cuboid has a volume of 300 cm$^3$.
The length of the cuboid is 25 cm and the width is 4 cm.
Find its height.
549
568
506
Insert two pairs of brackets to make this statement correct.
$3 + 2 \times 5 = 5 \times 4 + 6 \div 2 = 25$
553
579
569
In a sale a shop reduces its prices by 10%.
Paula buys a coat which had an original price of $50.
Work out how much Paula pays for the coat.
$ .............................................. [2]
571
597
501
Work out the size of one exterior angle of a 12-sided regular polygon.
501
562
501
The table shows the number of spots on each of 30 ladybirds.
[Table_1]
Number of spots: 0 2 7 10 13
Frequency: 5 2 11 9 3
Work out the mean number of spots.
519
576
582
What type of correlation is shown on the scatter diagram?
500
503
590
Describe fully the single transformation that maps triangle $A$ onto triangle $B$. ........................................................................................................................................................ ........................................................................................................................................................ [2]
570
545
516
A machine produces rivets. For every 50 rivets the machine produces, 1 rivet is defective.
(a) A rivet is chosen at random.
Find the probability that this rivet is defective. .................................................. [1]
(b) In a batch of 10000 rivets, find the expected number of defective rivets. .................................................. [2]
540
594
528
The number of students in a class studying maths and science are shown in the Venn diagram.
(a) Write down how many students study both subjects.
................................................ [1]
(b) Find how many students study only one of these subjects.
................................................ [1]
(c) There are 50 students altogether.
\( x \) students do not study either maths or science.
Find the value of \( x \).
\( x = ................................................ \) [2]
577
505
548
The width of a fibre is 0.000 019 m.
Write the width in standard form. .......................................... m [1]
500
588
535
Rectangles $ABCD$ and $EFGH$ are mathematically similar.
Work out $EH$.
$EH = \text{...............................} \text{ cm}$
571
578
525
Solve.
$10x + 7 < 5$
.................................................. [2]
586
551
550
