Non-Calculator Questions Year 11 Mini-Assessment 16 HIGHER Non-Calculator Questions

 ℎ 2 + 12 2 = 13 2 h 5cm ℎ 2 +144=169 A ℎ 2 =25 12cm 24cm ℎ= 25 B  ℎ=5 𝑐𝑚  Area A = ½ x 24 x 5 = 60cm2  Area B = 11 x 24 = 264cm2  Total Area = 324cm2

either  either either  𝑋=0.2 3 5 990𝑋=233 10𝑋=2. 3 5 – 𝑋= 233 990 𝑋=0.2 3 5 990𝑋=233 either 10𝑋=2. 3 5 – 𝑋= 233 990  1000𝑋=235. 3 5 either 22 5 + 17 7 154 35 + 85 35 either  239 35

     𝑦=𝑥+3 Substitute into the first equation 𝑥 2 + 𝑥+3 2 =29 𝑥 2 + 𝑥+3 2 =29 𝑊ℎ𝑒𝑛 𝑥=−5 𝑥 2 + 𝑥 2 +6𝑥+9=29 𝑦=−5+3=−2  2𝑥 2 +6𝑥−20=0 𝑊ℎ𝑒𝑛 𝑥=2  𝑥 2 +3𝑥−10=0  (𝑥+5)(𝑥−2)=0 𝑦=2+3=5  𝑥=−5 𝑎𝑛𝑑 𝑥=2