Ratios 2 (NPK)

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Katie Bullen

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Question statement

The N:P:K content listed on fertiliser labels is the ratio of nitrogen, phosphorus and potassium (in that order) for that particular fertiliser blend. For a given bag of fertiliser with an N:P:K ratio of:

$\var{part1}$ : $\var{part2}$ : $\var{part3}$

Give any introductory information the student needs.

			Name	Type	Generated Value

part1	integer	2
part2	integer	10
part3	integer	7
n	range	1..10
total	number	8.18
nitrogen	integer	131
N_ans_r	string	0.9
P_ans_r	string	4.3
K_ans_r	string	3.0
s_parts	integer	19
unit_g	string	6.8947
total_g	string	1245

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(2..10)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

→ Used by:

K_ans_r
N_ans_r
P_ans_r
s_parts
total_g

Statement
Advice
"Part a)" → "Gap 0." - Minimum accepted value
"Part a)" → "Gap 0." - Maximum accepted value
"Part a)" → "Gap 1." - Minimum accepted value
"Part a)" → "Gap 1." - Maximum accepted value
"Part a)" → "Gap 2." - Minimum accepted value
"Part a)" → "Gap 2." - Maximum accepted value
"Part b)" → "Unnamed gap" - Minimum accepted value
"Part b)" → "Unnamed gap" - Maximum accepted value

Parts

Part a) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
3. Gap Gap 2. Number entry
  Add
Part b) Gap-fill
1. Gap Number entry
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

If the bag contains $\var{total}$ kg of this nutrient mix, how many kilograms of each nutrient is present? Express your answer to one decimal place.

N = Gap 0. kg

P = Gap 1. kg

K = Gap 2. kg

Advice

Part (a)

Divide the quantity {total}kg into parts according to the ratio

{part1} : {part2} : {part3}

Step 1: Find the sum of the parts:

{part1} + {part2} + {part3} = {part1+part2+part3}

Step 2: Divide the total quantity by the sum of the parts to find the value of one part.

$\frac{\var{total}}{\var{s_parts}}$ = {total/(part1+part2+part3)} kg

Step 3: Multiply the value of one part by the number of parts for each nutrient (N, P and K)

N: {total/(part1+part2+part3)} $\times$ {part1} = {N_ans_r} kg

P: {total/(part1+part2+part3)} $\times$ {part2} = {P_ans_r} kg

K: {total/(part1+part2+part3)} $\times$ {part3} = {K_ans_r} kg

Part (b)

Give the size of one part ({nitrogen} g of nitrogen), find the total mass of the nutrients in the fertiliser.

Step 1: Divide the mass of nitrogen by its number of parts to find the value of one part.

$\frac{\var{nitrogen}}{\var{part1}}$ = {unit_g} g

Step 2: Mutiply the value of one part by the sum of the parts to find the total mass of nutrients.

{unit_g} $\times$ {s_parts} = {total_g} g

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet

This question is used in the following exam:

MATH6052 Numbas 1 Arithmetic by Katie Bullen in MATH6052 Maths for the Green Industry.

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Katie Bullen 1 month, 1 week ago

Katie Bullen 1 month, 1 week ago

Katie Bullen 3 months, 3 weeks ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

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Ratios 2 (NPK)

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Katie Bullen 1 month, 1 week ago

Katie Bullen 1 month, 1 week ago

Katie Bullen 3 months, 3 weeks ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`