GEMS Winchester Private School Grade 7 Mathematics Revision Flashcards

Comprehensive vocabulary and math logic flashcards based on the Grade 7 End of Year Exam Revision Pack, covering algebra, geometry, percentages, and statistics.

Expand and simplify the expression: $3(x + 5) + 2x$

$$5x + 15$$

Highest Common Factor (HCF) of $9$ and $54$

$$9$$

Sum of the interior angles of a triangle

$$180^\circ$$

Density formula

$$\text{Density} = \frac{\text{Mass}}{\text{Volume}}$$

Density of a block with mass $200\,g$ and volume $50\,cm^3$

$$4\,g\,cm^{-3}$$

Number of vertices in a triangular prism

$$6$$

Effect of a shape enlarged by a scale factor of $2$

All lengths double.

Arithmetic sequence missing numbers: $50, 45, \dots, 35, \dots, 25$

$40$ and $30$

10% of $200$

$$20$$

Solution to the inequality: $x + 4 > 10$

$$x > 6$$

Total number of brownie boxes filled from a $\frac{2}{3}$ tray using boxes that hold $\frac{1}{6}$ of a tray

$$4$$

New price of a water bottle costing $£20$ after a $10\%$ increase

$$£22$$

Percentage increase from $£50$ to $£60$

$20\%$ increase

Mean number of sandwiches sold: $20, 25, 18, 30, 27$

$$24$$

Solving the fraction addition: $\frac{1}{6} + \frac{2}{3}$

$$\frac{5}{6}$$

Factorization of the expression: $5x + 40$

$$5(x + 8)$$

Sum of the numbers: $-17, -11, -1, -10, -22$

$$-61$$

Dividing numerical coefficients: $\frac{3x + 12}{3}$

$$x + 4$$

Perimeter of a rectangle with $10\,cm$ length and $4\,cm$ width

$$28\,cm$$

Name of solid SHAPE C in the 3D shapes section

Cylinder

Probability of NOT picking a blue marble from a bag with $5$ red, $3$ blue, and $2$ green marbles

$$\frac{7}{10}$$

Number of sides of a regular polygon with each exterior angle of $45^\circ$

$$8$$

12th term of an arithmetic sequence with first term $7$ and common difference $5$

$$62$$

Result of an $£80$ jacket increasing by $25\%$ followed by a $20\%$ discount

$£80$ (no overall increase or decrease)

Number of glasses in a juice container that is $\frac{3}{4}$ full, where each glass holds $\frac{1}{8}$ of capacity

$6$ glasses

Gradient (slope) of a straight line passing through $(2, 5)$ and $(8, 17)$

$$2$$

Population decrease from $2,500,000$ to $2,125,000$

$15\%$ decrease