G10 MATHEMATICS TEST 1

Evaluate

(8) ^-2/3

Simplify 2x-3(y-x)-8y

Solve the equation x/2 + x/3 = 5

 Solve the simultaneous equations
2x + y = 14
  x + y = 4

Simplify    p²q³ ×8/pq  ÷ 2p²q

Evaluate  32^3/5                                                                                                   

Solve    3^x =   1/27              

Solve     y⁵ = 32   

Simplify the fraction

Factorize completely    5px – 5py + 3qx – 3qy                

Solve the equation    5y² + 6y + 1 = 0

In a particular year, 150 candidates applied for training as teachers of Mathematics (M), Science (S) and Home Economics (H.E) at Nkhruma University. The Venn diagram below illustrates the number of candidates for each subject

(i) Given that 70 candidates applied for Science, find the value of x and y          [2]marks 

(ii) How many candidates applied for two different subjects only?                        [2]marks

(iii) How many candidates did not apply for either mathematics or science         [2]marks

(iv) how many candidates applied for either science or home economics but not marhematics    [2]marks                                                                                    

E = { x: x ˂ 10, x ∈ Natural Numbers} , P = { x: x is a Prime Number} and Q = { x: x is an Even Number} 

(i) list the elements of set p in ascending order

E = { x: x ˂ 10, x ∈ Natural Numbers} , P = { x: x is a Prime Number} and Q = { x: x is an Even Number} 

(i) List elements of set Q in ascending order

E =  { x: x ˂ 10, x  Natural Numbers} , P = { x: x is a Prime Number} and  Q = { x: x is an Even Number}  

Find n(P n Q)