DP IB Maths: AA SL

Topic Questions

1.1 Number Toolkit

1a
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1 mark

Let Q fraction numerator 30 space sin space 2 a over denominator 8 b end fraction, where a equals 45 degree and b equals 2.

Calculate the exact value of Q.

1b
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2 marks

Give your answer from part (a) correct to

(i)
two decimal places

(ii)
two significant figures.

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2a
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1 mark

Let  R equals fraction numerator 4 x over denominator 6 space cos 5 y end fraction, where x equals 1.25 and y equals 36 degree.

Write the angle of y in radians.

2b
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2 marks

Find the value of R. Give your answer as a fraction.

2c
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2 marks

Give your answer from part (b) to

(i)
one decimal place

(ii)
three significant figures.

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3a
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3 marks

Consider the numbers a equals 4.14 cross times 10 to the power of 6 and b equals 2.54 cross times 10 to the power of negative 7 end exponent.

Calculate C space equals space root index 10 of open parentheses a over b close parentheses cubed end root. Give your answer correct to the

(i)
nearest integer

(ii)
three significant figures.
3b
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2 marks

Give your answer to part (a) (i) in the form a cross times 10 to the power of k, where 1 less or equal than a less or equal than 10 and k element of straight integer numbers.

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4a
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3 marks

A cylinder has radius of 12.7 cm and height of 14.4 cm.

Calculate the volume of the cylinder correct to

(i)
one decimal place

(ii)
three significant figures

(iii)

the nearest integer.
4b
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2 marks

Write your answer to part (a) (ii) in the form a cross times 10 to the power of k, where 1 less or equal than a less or equal than 10 and k element of straight integer numbers.

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5a
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2 marks

A rectangular field has length, L, of 25.2 m and width, W comma of 21.4 m, each correct to 1 decimal place.

Calculate the lower and upper bound for

(i)
L

(ii)

W
5b
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4 marks

Calculate the lower and upper bound for the

(i)
perimeter, P
(ii)
area, A comma of the field.

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6
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6 marks

Calculate the following, giving your answer in the form a cross times 10 to the power of k, where 1 less or equal than a less or equal than 10 and k element of straight integer numbers

(i)
4 cross times open parentheses 6.2 space cross times 10 to the power of negative 5 end exponent close parentheses

(ii)

open parentheses 4 space cross times 10 to the power of 5 close parentheses minus open parentheses 5 cross times 10 to the power of 4 close parentheses

(iii)

open parentheses 4321 to the power of negative 1 end exponent close parentheses open parentheses 1.2 cross times 10 to the power of negative 1 end exponent close parentheses

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7a
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2 marks

Consider the following four numbers.

a = 0.272 b = 0.0272 cross times105 c = e(10e)-1 d = 2.72 cross times102

Write down

(i)
the number that is in the form a cross times 10 to the power of k, where 1 less or equal than a less or equal than 10 and k element of straight integer numbers 

(ii)

the largest of these numbers.
7b
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4 marks
(i)
Find the value of a plus b minus c plus d.

(ii)
Give your answer to part (b)(i) in the form a cross times 10 to the power of k, where 1 less or equal than a less or equal than 10 and k element of straight integer numbers

                      .

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