Tag: softskills

The notation "10¼" means "10 to the power of 4" (10^4), which is 10 × 10 × 10 × 10 = 10000. Option B is correct. This is exponent notation where ¼ represents the power 4.

First convert 2m to 200cm. Set up the proportion: 80cm costs 16p, so 1cm costs 16/80 = 0.2p. Therefore 200cm costs 200 × 0.2 = 40p. Option C is correct.

Simplify the left side: 3x + x = 4x. So 4x = 2x + 2y. Subtract 2x from both sides: 2x = 2y. Divide by 2: x = y. Option D is correct.

Count the 9s in two places: the units position (9, 19, 29, ..., 99) gives 10 occurrences. The tens position (90, 91, 92, ..., 99) gives 10 more. But 99 has two 9s, so total = 10 + 10 = 20. Option D is correct.

Convert 1/5 to 3/15 (multiply numerator and denominator by 3). Then add: 3/15 + 7/15 = 10/15. Simplify by dividing numerator and denominator by 5: 10/15 = 2/3. Option D is correct (2/3 = 0.666...).

Calculate 10% of £900: 900 × 0.10 = £90. Subtract this discount from the original price: £900 - £90 = £810. Option B is correct.

A scale of 1:10000 means 1cm on the map represents 10000cm (100m) in real life. So 5cm represents 5 × 100 = 500m. Option C is correct.

Ham-fisted means clumsy, awkward, or lacking skill in physical movements. Adroit means skillful, clever, or dexterous - the opposite of ham-fisted. Bungling and bumbling are synonyms (clumsy), while left-handed refers to direction.

Sulfurous literally means containing sulfur, but figuratively means harsh, bitter, or caustic (like sulfuric acid). Pleasant means agreeable and enjoyable - the direct opposite. Virulent, vitriolic, and blistering all suggest harshness or severity.

Sceptred means invested with authority or sovereignty (from 'scepter' - the ceremonial staff held by monarchs). Unauthorised means without official permission or authority - the direct opposite. Empowered, sovereignty, and ruling power all relate to having authority.