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Stage 4 Test C

Scheme of learning

Function MachinesFrequency PolygonsFractions of an AmountDrawing GraphsPercentagesWriting and Simplifying RatioFractionsMetric ConversionsConversions and UnitsScale Drawings

Tests

Test ATest BTest CTest D

Stage 4 Test C

Question 1

Change 800 millilitres to litres

[1]
Question 2

Change 50 kilograms to grams.

[1]
Question 3

Here is a number machine.

Input ⟶\longrightarrow⟶ ×4\boxed{\times 4}×4​ ⟶\longrightarrow⟶ −7\boxed{-7}−7​ ⟶ \longrightarrow\,⟶ Output

a.

What is the output when the input is 5?

[1]
b.

What is the input when the output is 29?

[2]
Question 4

Which is greater 24% of 140 or 31% of 110

You must show your working.

[3]
Question 5
a.

Write the ratio 25:40 25 : 40\,25:40 in its simplest form.

[1]
b.

There are red shapes and blue shapes in a box, 58\displaystyle \frac{5}{8}85​ of the shapes are red.

Write the ratio of red shapes to blue shapes.

[1]
Question 6

Stan has an income of £3000 a month.

He spends 25\displaystyle \frac{2}{5}52​ of his income on rent.

He spends 415\displaystyle \frac{4}{15}154​ of his income on bills.

He spends 110\displaystyle \frac{1}{10}101​ of his income on food.

Stan saves the rest of his income.

Work out how much Stan saves each month.

[3]
Question 7

The frequency table shows the heights, in cm, of some tomato plants.

Height (cm)Frequency
140<h≤150140 < h \leq 150140<h≤15011
150<h≤160150 < h \leq 160150<h≤1608
160<h≤170160 < h \leq 170160<h≤17017
170<h≤180170 < h \leq 180170<h≤18015
180<h≤190180 < h \leq 190180<h≤1909

Draw a frequency polygon to show this information.

A blank coordinate grid for drawing a frequency polygon.

[2]
Question 8
a.

Work out 213+125\displaystyle 2\frac{1}{3} + 1\frac{2}{5}231​+152​

[2]
b.

Work out 214÷35\displaystyle 2\frac{1}{4} \div \frac{3}{5}241​÷53​

Give your answer as a mixed number in its simplest form.

[2]
Question 9

On the grid, draw the graph of y=2−3xy = 2 - 3xy=2−3x for values of x x\,x from -2 to 2

A Cartesian coordinate system grid for graphing the line y = 2 - 3x.

[3]