UNIT 4 Scientific Notation CSEC Revision Test ( ( ) ( )+ ( )

UNIT 4 Scientific Notation: CSEC Revision Test
MEP Jamaica: STRAND A
UNIT 4 Scientific Notation
CSEC Revision Test
40 minutes are allowed. DO NOT use a calculator in Questions 1 - 5.
1.
Write the following numbers in standard form.
(a)
2.
(b)
0.002
(2 marks)
Express the following in ordinary notation.
(a)
3.
2001
4.23 × 10 2
5.2 × 10 − 3
(b)
(2 marks)
Evaluate the following, writing your answer in standard form.
(16.4 × 10 ) ÷ (0.82 × 10 )
−3
4.
3
Evaluate the following, giving your answer in standard form.
(7 × 10 ) + (6 × 10 )
4
3
1.9 × 10 − 3
5.
(2 marks)
(2 marks)
It is given that p = 4 × 10 − 2 and q = 2 × 10 − 3 .
(a)
Calculate the value of p q , giving your answer in standard form.
(2 marks)
(b)
Calculate the value of p + q .
(2 marks)
Use a calculator in Questions 6 - 9
6.
Write the value of
(11.2)2 − (0.375 ÷ 3)
7.
(a)
exactly
(b)
to two significant figures
(c)
in standard form.
(6 marks)
Write in standard form
(a)
0.34 2
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(b)
0.00000123
(4 marks)
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MEP Jamaica: STRAND A
UNIT 4 Scientific Notation: CSEC Revision Test
UNIT 4 Scientific Notation
8.
9.
CSEC Revision Test
A number, m, expressed in terms of its prime factors, is 2 6 × 34 × 11 .
(a)
Find the value of m.
(1 mark)
(b)
Express 8m as a product of prime factors.
(2 marks)
(c)
Find the value of 8m, giving your answer in standard form.
(2 marks)
The distance from the Earth to the Moon is approximately 250 000 miles.
(a)
Express this number in standard form.
(1 mark)
The distance from the Earth to the Sun is approximately 9.3 × 10 7 miles.
(b)
Calculate the value of the expression
distance from the Earth to the Moon
distance from the Earth to the Sun
giving your answer in standard form.
(2 marks)
(30 MARKS)
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2
UNIT 4 Scientific Notation: CSEC Revision Test
MEP Jamaica: STRAND A
UNIT 4 Scientific Notation
1.
(a) 2.001 × 10 3
2.
(a) 423
3.
CSEC Revision Test Answers
(b) 2 × 10 − 3
B1 B1
(2 marks)
B1 B1
(2 marks)
2 × 10 − 5
B2
(2 marks)
4.
4 × 10 7
B2
(2 marks)
5.
(a) 8 × 10 − 5
M1 A1
(b) 4.2 × 10 − 2
M1 A1
6.
(a) 125.315
7.
(a) 1.156 × 10 −1
8.
(a) m = 57 024
(b) 0.0052
(b) 130
(c) 1.25315 × 10 2
(b) 1.23 × 10 − 6
(b) 8m = 2 9 × 34 × 11
(c) 4.56192 × 10 5
9.
B2 B1 M1 A1 A1 (6 marks)
B2 B2
(4 marks)
B1 B2
M1 A1
(a) 2.5 × 10 5
(4 marks)
(5 marks)
B1
(b) 2.688 × 10 − 3
M1 A1
(3 marks)
(TOTAL MARKS 30)
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