SPI3 numerical and logical foundations
Organize numerical information and follow logical clues, one short lesson and practice at a time.
Independent foundation practice, not endorsed by Recruit. This program does not reproduce SPI3 questions, adaptive delivery, timing or scoring, and does not cover Japanese verbal or personality assessments.
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Your path
Read the method, then put it to work.
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Work with percentages and ratios
Identify the whole, find useful percentage parts, and divide a total in a ratio.
Lessons & practices
LessonFind a percentage in your head 3 min readPracticeLessonDivide in a ratio 3 min readPractice -
Turn a situation into an equation
Keep time units consistent and translate the information in a short problem into an equation.
Lessons & practices
LessonUse time units 3 min readPracticeLessonSet up the equation 4 min readPractice -
Read data and combine groups
Check labels and units before calculating, then account for unequal group sizes.
Lessons & practices
LessonRead data before calculating 6 min readPracticeLessonWeight the average 3 min readPractice -
Count possibilities
Decide whether order matters and count the outcomes that meet a condition.
Lessons & practices
LessonDecide whether order matters 3 min readPracticeLessonCount equally likely outcomes 3 min readPractice -
Use only what the clues establish
Separate certain conclusions from assumptions, then place items using fixed and relative clues.
Lessons & practices
LessonFollow only certain links 3 min readPracticeLessonPlace the fixed clues first 3 min readPractice
Go further
Try a harder setting, apply the method in another practice, then review what changed.
Optional practice. Your rounds appear in Progress; your completed modules stay complete.
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Join the right rows
Match product labels across the two tables. Calculate each profit before comparing, or find the revenue gap before calculating extra units.
Lessons & practices
LessonPracticeAfter your round
Explain which columns you used and ignored. For a target, check that your answer reaches it and one fewer unit does not. -
Separate possible from necessary
Use the clues to keep more than one valid order in mind. Read whether the question asks what must, could or cannot be true.
Lessons & practices
LessonPracticeAfter your round
For a possible claim, give one valid order. For a necessary claim, try to build a counterexample and identify the clues that block it. -
Track the amount of solute
Separate total mixture mass from solute mass. When replacing liquid, subtract what leaves before adding what enters, then find the new concentration.
Lessons & practices
LessonPracticeAfter your round
Check the final mass and solute separately. After repeated replacement, use the updated concentration rather than the original one. -
Change the percentage base each time
Apply the first percentage change, then use the new amount for the second. Once comfortable, try percentage points and finding an unknown percentage.
Lessons & practices
PracticeAfter your round
Write the two multipliers and name each starting amount. Explain why equal percentage increases and decreases do not cancel. -
Recover a missing group average
Turn each average into a total using its group size. Combine totals or subtract the known group, then divide by the appropriate count.
Lessons & practices
LessonPracticeAfter your round
Check the reconstructed overall average. Explain why taking the simple mean of two group averages fails when their sizes differ.