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(a) Write down the co-ordinates of the point $A$. $\text{(........., .........)}$ [1]
(b) On the grid, plot the point $(7, 5)$. Label it $B$. [1]
589
581
581
Complete the second column in the table using the words discrete or continuous.
[Table_1]
| Data collected in a survey | Type of data |
|---|---|
| Number of students | |
| The mass of students | |
| Number of pets that students own | |
| The time it takes to get to school |
548
577
571
The bar chart shows the numbers of students in each of three classes.
Work out the difference in the total number of boys and the total number of girls.
506
568
535
(a) Draw all the lines of symmetry on the regular pentagon. [2]
(b) Shade four squares on the grid to give the diagram 4 lines of symmetry. [1]
594
530
509
The mass, $x$ grams, of each of 130 tomatoes is recorded. This information is shown in the frequency table below.
[Table_1]
Complete the cumulative frequency table.
[Table_2]
553
577
585
This table shows the ages, in years, of 50 students in a school.
[Table_1]
(a) How many girls are less than 14 years old?
....................................................... [1]
(b) What percentage of the students are at least 15 years old?
............................................... % [2]
(c) One of the 50 students is chosen at random.
What is the probability that this student is less than 13 years old?
Give your answer as a fraction in its simplest form.
......................................................... [2]
581
529
511
Find the value of $x$.
$x =$ ext{.....................} [1]
513
547
503
The diagram shows a regular pentagon.
Find the size of the exterior angle, $x$.
573
566
537
Find the value of $b$ when $A = 21$ and $h = 6.$
$$A = \frac{b \times h}{2}$$
$b = \text{.....................}$
581
562
583
(a) Write down the value of $8^0$.
......................................................... [1]
(b) Simplify $6p^3 \times 3p^6$.
......................................................... [2]
546
574
500
A radio originally cost $75.
It is sold for $84.
Work out the percentage profit.
.................................\% [3]
588
558
528
Work out $(8 \times 10^{-3}) \times (7 \times 10^9)$.
Give your answer in standard form.
592
502
573
Find the image of the point (2, 3) after a reflection in the line $x = 1$.
You may use the grid to help you.
(..........., .............)
561
582
541
P is the point (5, 7) and \( \overrightarrow{PQ} = \begin{pmatrix} 3 \\ -2 \end{pmatrix} \).
(a) Find the co-ordinates of Q. \( \text{(.................., ..................)} \) [1]
(b) Describe fully the \textit{single} transformation that maps Q onto P.
\( \text{..............................................................} \) [2]
507
530
523
