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5.4F Standard Form: Foundation Tier Practice

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 60 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Write 5600 in standard form.

(Total for Question 1 is 1 mark)

Write 0.0072 in standard form.

(Total for Question 2 is 1 mark)

Write 9.3 x 10² as an ordinary number.

(Total for Question 3 is 1 mark)

Write 4.05 x 10^-1 as an ordinary number.

(Total for Question 4 is 1 mark)

A small marble has mass 0.00038 kg. Give the mass of the marble in standard form to two significant figures.

(Total for Question 5 is 2 marks)

Write each of the following in standard form.
(a) 12000
(b) 0.00056

(a)12000(2)

(b)0.00056(2)

(Total for Question 6 is 4 marks)

A school measures the length of a small model as 0.023 m. A real object is 2.3 x 10³ times longer than the model. Work out the length of the real object in standard form.

(a)Write 0.023 in standard form.(1)

(b)Use your answer to part (a) to find the real length in standard form.(3)

(Total for Question 7 is 4 marks)

Write 0.00000042 in standard form then give the number of zeros between the decimal point and the first non-zero digit.

(a)Write 0.00000042 in standard form.(3)

(b)State how many zeros appear between the decimal point and the 4 in the original number.(2)

(Total for Question 8 is 5 marks)

A small satellite has mass 4.8 x 10³ kg. Another satellite has mass 0.0096 x 10⁶ kg. Are the two masses equal? Show your working and give your answer in ordinary numbers.

(Total for Question 9 is 6 marks)

Mark scheme · 5.4F Standard Form: Foundation Tier Practice

Question 1

B1 5.6 x 10³ cao
Answer: 5.6 x 10³

Question 2

B1 7.2 x 10^-3 cao
Answer: 7.2 x 10^-3

Question 3

B1 930 cao
Answer: 930

Question 4

B1 0.405 cao
Answer: 0.405

Question 5

M1 convert 0.00038 to 3.8 x 10^-4 or show appropriate rounding
A1 3.8 x 10^-4 cao
Answer: 3.8 x 10^-4

Question 6

(a) M1 show 12000 = 1.2 x 10⁴ or equivalent method
(a) A1 1.2 x 10⁴ cao
(a) Answer: 1.2 x 10⁴
(b) M1 show 0.00056 = 5.6 x 10^-4 or equivalent
(b) A1 5.6 x 10^-4 cao
(b) Answer: 5.6 x 10^-4

Question 7

(a) B1 2.3 x 10^-2 cao
(a) Answer: 2.3 x 10^-2
(b) M1 multiply 2.3 x 10^-2 by 2.3 x 10³ or show 2.3 x 2.3 x 10^{-2 + 3}
(b) M1 evaluate product 5.29 x 10¹ or show 5.29 x 10¹
(b) A1 5.29 x 10¹ cao
(b) Answer: 5.29 x 10¹

Question 8

(a) M1 move decimal to give 4.2 x 10^-7 or equivalent method
(a) A1 4.2 x 10^-7 cao
(a) A1 correct power and coefficient stated
(a) Answer: 4.2 x 10^-7
(b) B1 6 zeros cao
(b) B1 explicit count or statement
(b) Answer: 6

Question 9

M1 convert 4.8 x 10³ to ordinary number or show method
A1 4800 cao
M1 convert 0.0096 x 10⁶ to ordinary number or show method (0.0096 * 10⁶)
A1 9600 cao
M1 compare the two numbers and state whether equal or not with working
A1 conclusion: not equal, 4800 and 9600 cao
Answer: No. 4.8 x 10³ = 4800 kg. 0.0096 x 10⁶ = 0.0096 * 1000000 = 9600 kg. The masses are not equal.

Standard Form: Foundation Tier Practice - Worksheets, Questions and Revision