Number Topic Quetions (4MB1 Edexcel) page2

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31 (Edexcel/Math B/2016/janR/paper01/q1)

Showing your working clearly, find the Lowest Common Multiple (LCM) of 24, 180 and 504


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32 (Edexcel/Math B/2014/jan/paper01/q1)

John is travelling from London to Hong Kong.
12.35 Hong Kong dollars are worth 1 UK pound (£).
He wants to buy 50 Hong Kong dollars.
Calculate how much 50 Hong Kong dollars are worth in UK pounds.


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33 (Edexcel/Math B/2014/janR/paper01/q12)

From an online website, I purchased an electronic gadget from Singapore.
The cost of the gadget in Singapore dollars (SGD) was 82 SGD.
The total I paid for the gadget and the postage in British pounds (GBP) was 50 GBP.
The exchange rate was 1 SGD = 0.5036 GBP.

Calculate the cost of the postage in SGD. Give your answer to 2 decimal places


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34 (Edexcel/Math B/2016/jan/paper01/q11)

From an online website, I purchased an electronic gadget from Singapore. The cost of the gadget in Singapore dollars (SGD) was 82 SGD. The total I paid for the gadget and the postage in British pounds (GBP) was 50 GBP.
The exchange rate was 1 SGD = 0.5036 GBP.

Calculate the cost of the postage in SGD. Give your answer to 2 decimal places


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35 (Edexcel/Math B/2016/juneR/paper01/q2)

Sarah wants to change 385 US dollars into British pounds (£). Given that £1 = 1.54 US dollars, calculate how much she should get for 385 US dollars.


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36 (Edexcel/Math B/2014/jan/paper01/q3)

The sales tax for a radio is 16% of the cost price.
The sales tax is to be increased from 16% to 20% of the cost price.
Calculate the percentage increase in the sales tax.



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37 (Edexcel/Math B/2014/juneR/paper01/q2)

Find $33\frac1
3$ % of £37.92



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38 (Edexcel/Math B/2015/janR/paper01/q10)

Express 270m as a percentage of 30 km.


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39 (Edexcel/Math B/2015/june/paper01/q11)

In a country, the number of people who are more than 60 years old is 23% of the population.
Of these people who are more than 60 years old, 42% are men.
The population of the country is 50 million.

Calculate, to the nearest million, the number of
women in this country who are more than 60 years old.


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40 (Edexcel/Math B/2015/june/paper01/q1)

Express $22\frac 12$  minutes as a percentage of one hour


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41 (Edexcel/Math B/2016/jan/paper01/q7)

There is ${0.3}{kg}$ of tin in a sword.
This is $15\%$ of the total weight of the sword.

 Calculate the total weight, in kg, of the sword.


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42 (Edexcel/Math B/2016/june/paper01/q3)

In 1964 the high jump world record for women was \SI{1.91}{m}.
In 1987 it was ${2.09}{m}$.

Calculate, to 3 significant figures, the percentage increase in this world record between 1964 and 1987.


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43 (Edexcel/Math B/2016/june/paper01R/q6)

The selling price of a TV is the cost price of the TV plus profit. The profit is $20\%$ of the cost price.
The selling price of the TV is \pounds450.
 
Calculate the cost price of the TV.


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44 (Edexcel/Math B/2014/jan/paper01/q20)

$F$ varies inversely as the square of $r$.
When $r = 2$, $F = 20$.
Given that $r > 0$, find the value of $r$ when $F = 5$.


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45 (Edexcel/Math B/2014/jan/paper01R/q21)

$y$ varies inversely as the square of $x$. When $x = 4$, $y = 3$.
Find the value of $y$ when $x = 8$.


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46 (Edexcel/Math B/2014/june/paper01/q16)

$y$ varies directly as the cube of $x$.
$y = 9$ when $x = 2$.
Find the value of $x$ when $y = 72$.


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47 (Edexcel/Math B/2014/june/paper01R/q23)

$y$ varies as the cube of $x$, and $y = 48$ when $x = 4$.
Find $x$ when $y = 162$.


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48 (Edexcel/Math B/2015/jan/paper01/q20)

$y$ varies inversely as the square of $x$.
When $x = 3$, $y = 28$.
Calculate the values of $x$ when $y = 63$.


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49 (Edexcel/Math B/2015/jan/paper01R/q20)

The number of ants in an ant hill is directly proportional to the cube of the height of the hill. There are 20000 ants in a hill that is \SI{20}{cm} high.
 
Find the number of ants in a hill that is \SI{40}{cm} high.


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50 (Edexcel/Math B/2016/jan/paper01/q24)

The $y$ coordinate of any point on the curve $C$ varies directly as the cube of the $x$ coordinate of that point.

The point $A(2, 216)$ lies on $C$.

(a)Find an equation for $C$.

The $y$ coordinate of the point $B$ on the curve $C$ is $-343$.
(b)Calculate the $x$ coordinate of the point $B$.







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