Priority 1 — unknown skills diagnostic

One sitting, covering skills not established in the initial test. This is separate from the final comprehensive Priority 1 check-in. Answer independently; after review you will teach and practise only missed topics. Leave an answer blank if unsure: a blank is classified as weak.

0/12 topic checks recorded

Simultaneous equations — Autumn 1

Solve x+y=9 and x−y=1.

Solve y=3x and x+y=12.

Compound measures — Autumn 1

Find speed for 120 km in 2 hours.

Find density for mass 75 g and volume 25 cm³.

Reverse percentages

A jacket costs £64 after a 20% discount. What was its original price?

A price rises 10% to £55. Find its original price.

Percentage profit / loss

A shop buys goods for £50 and sells them for £65. Find percentage profit.

An item costing £80 sells for £60. Find percentage loss.

Circle area and circumference

Area of circle radius 5 cm in terms of π?

Circumference diameter 12 cm in terms of π?

Sectors and arc length

Arc length of 90° sector radius 6 cm?

Area of 120° sector radius 3 cm?

Pythagoras

Hypotenuse of right triangle with legs 6 cm and 8 cm?

Other leg if hypotenuse is 13 cm and leg is 5 cm?

Standard form

Write 0.00045 in standard form.

(2×10³)×(3×10⁴) in standard form?

Basic probability

Bag has 4 red, 6 blue. P(red)?

Fair die: P(not six)?

Independent events

Two fair coins: P(two tails)?

Die and coin: P(even and heads)?

Volume of cuboids

Find the volume of a cuboid 6 cm by 5 cm by 2 cm.

A cuboid has volume 96 cm³ and base area 24 cm². Find its height.

Volume of cylinders

Find the volume of a cylinder with radius 5 cm and height 2 cm, in terms of π.

Find the volume of a cylinder with diameter 4 cm and height 5 cm, in terms of π.