CogAT Practice Pack — Grade 7

Answer Key — CogAT Grade 7

1. 1. B — The sentence suggests collaboration, and 'teams' is the most suitable option for group work.
2. 2. E — Each number is squared. 2 × 2 = 4.
3. 3. E — The amount added grows by 1 each step. Adding 6 to 15 gives 21.
4. 4. C — In the top row, the figure's fill darkens one step and the figure doubles. Applying the same change to the bottom figure gives C. The others each make a specific mistake: A applies a different rule than the top row shows; B applies only one of the two changes; D the bottom figure with no rule applied; E right change, wrong figure shape.
5. 5. D — Unfold the paper step by step, mirroring every hole across each crease in reverse order. 3 punches through 4 layers leaves 12 holes. The other sheets each draw a specific mistake: A one hole drifted off its mirrored position; B doubled the count without the on-crease merge; C treated the mirror as a slide — hole positions right, orientation never flips; E mirrored across the wrong axis.
6. 6. A — All four options are types of musical compositions, but 'rhapsody' is the one that belongs with 'sonata', 'symphony', and 'concerto' because they are all classical music forms.
7. 7. E — To solve for ?, we need to divide both sides of the equation by 5. So, ? = 35 / 5 = 7.
8. 8. D — What the three figures share: every figure has a dot above it. D shares it too. The others don't: A repeats an exemplar's shape but breaks the shared property; B the dot sits below instead of above; C no dot above it; E solid black instead of the shared property.
9. 9. E — The relationship is "part to its whole." finger → hand, so leaf → plant.
10. 10. A — The sentence implies a central location, and 'center' is the most logical option for a city's historic area.
11. 11. C — Each number is multiplied by 3. 2 × 3 = 6.
12. 12. B — Each number is multiplied by 3. 54 × 3 = 162.
13. 13. A — In the top row, a smaller copy appears inside and the figure's fill darkens one step. Applying the same change to the bottom figure gives A. The others each make a specific mistake: B the bottom figure with no rule applied; C applies only one of the two changes; D applies the change twice; E applies a different rule than the top row shows.
14. 14. B — Unfold the paper step by step, mirroring every hole across each crease in reverse order. 3 punches through 4 layers leaves 12 holes. The other sheets each draw a specific mistake: A doubled the count without the on-crease merge; C mirrored across the wrong axis; D one hole drifted off its mirrored position; E treated the mirror as a slide — hole positions right, orientation never flips.
15. 15. E — All five options are planets, but 'Mars' is the one that belongs with 'mercury', 'venus', and 'earth' because they are all planets in our solar system that are closest to the sun.
16. 16. B — To find the discount, we need to calculate 15% of $2, which is 0.15 * $2 = $0.30. Then, subtract the discount from the original price: $2 - $0.30 = $1.70.
17. 17. E — What the three figures share: every figure is an outline (unfilled). E shares it too. The others don't: A does not share the property; B matches the shapes but not the shared fill; C solid black instead of the shared property; D repeats an exemplar's shape but breaks the shared property.
18. 18. A — The relationship is "part to its whole." leaf → plant, so room → house.
19. 19. C — The sentence implies innovation, and 'development' is the most suitable option for creating new products.
20. 20. B — Each number is squared. 4 × 4 = 16.