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(a) Write down the co-ordinates of point $A$.
( ext{................,................} ) [1]
(b) Plot the point $(4, -2)$. Label this point $B$. [1]
Find the perimeter of this triangle. ................... cm
Write down all the factors of 35.
Insert one pair of brackets in each of the following statements to make them correct.
(a) $6 + 3 \times 4 - 12 = 24$ [1]
(b) $6 + 3 \times 4 - 12 = -18$ [1]
Work out $\frac{7}{10}$ of 250. .......................................................
A recipe uses 200g of rice for 4 people.
Work out how much rice this recipe uses for 10 people.
................................. g [2]
(a) Change 7.2 kilograms into grams. .......................................... g [1]
(b) Change 86000 $cm^3$ into $m^3$. .......................................... $m^3$ [1]
The cost, $C$, of renting a car for $n$ days is $C = 20 + 12n$.
(a) Find the cost of renting a car for 5 days.
$ ....................................$ [1]
(b) The cost of renting a car was $104.
Find the number of days for which the car was rented.
...................................... [2]
Here are three sets $A$, $B$ and $C$.
$A = \{ 2, 5, 6, 7, 9, 16 \}$ $B = \{ 5, 6, 7, 9 \}$ $C = \{\text{even integers between 1 and 10}\}$
(a) Write down all the possible values for $x$ when $x \in A$ and $x \notin B$. .................................................... [1]
(b) List the elements of $A \cap C$. .................................................... [1]
(a) Expand the brackets.
-3(x - 2)
..................................................... [1]
(b) Factorise completely.
6x - 10xy
..................................................... [2]
A line is parallel to $y = 3x + 1$. It passes through the point $(0, 7)$.
Write down the equation of this line in the form $y = mx + c$.
$y = \text{..............................}$
(a) Reflect triangle $A$ in the line $x = -1$. [2]
(b) Describe the \textbf{single} transformation that maps triangle $A$ onto triangle $B$.
................................................................................................................................................................................ [3]
The list shows the number of ice creams sold each day by a shop for a 10 day period.
75 62 93 82 109 89 76 87 96 494
(a) Write down whether this type of data is discrete or continuous. Explain your answer.
..................... because .................................................................................
................................................................................................................. [2]
(b) Write down which of the mean or median is the most suitable average to use for this data. Explain your answer.
..................... because .................................................................................
................................................................................................................. [2]
Simplify.
$$\frac{x}{2} + \frac{x}{3}$$
Solve the simultaneous equations.
\(3x + 4y = 23\)
\(6x - 2y = 26\)
\(x = \text{........................................}\)
\(y = \text{........................................}\)
The table shows the mathematics mark, $x$, and the English mark, $y$, for each of nine students in a test.
[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]
(c) The mean mathematics mark is 50 and the mean English mark is 60. Using this information, draw the line of best fit on your diagram. [1]